solving algebraic equations worksheets 8th grade pdf

8th Grade Equations Worksheets

Equations worksheets for grade 8 help students in practicing questions on equations related to arithmetic operations such as algebraic expressions, linear equations, and geometric functions. These 8th grade math worksheets help students in not only math skills but also logical skills that can be used in real life.

Benefits of Grade 8 Equations Worksheets

Students can benefit from 8th grade equations worksheets by solving questions on integers with multi-step equations, interpreting equations from word problems, determining the equation from the properties of shapes, solving equations in a graphical representation, and solving simple equations where the students need to transpose from LHS to RHS. These worksheets not only provide questions but also solutions in the form of answer keys.

Printable PDFs for Equations Worksheets for Grade 8

To avail of the free version of Cuemath's 8th-grade equations worksheets along with the answer key, students can download the PDF format from the website.

• Math 8th Grade Equations Worksheet
• 8th Grade Equations Math Worksheet
• Eighth Grade Equations Worksheet
• Grade 8 Math Equations Worksheet

Explore more topics at Cuemath's Math Worksheets .

Free Printable Math Worksheets for Algebra 1

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• Writing variable expressions
• Order of operations
• Evaluating expressions
• Number sets
• Adding rational numbers
• Adding and subtracting rational numbers
• Multiplying and dividing rational numbers
• The distributive property
• Combining like terms
• Percent of change
• One-step equations
• Two-step equations
• Multi-step equations
• Absolute value equations
• Solving proportions
• Percent problems
• Distance-rate-time word problems
• Mixture word problems
• Work word problems
• Literal Equations
• Graphing one-variable inequalities
• One-step inequalities
• Two-step inequalities
• Multi-step inequalities
• Compound inequalities
• Absolute value inequalities
• Discrete relations
• Continuous relations
• Evaluating and graphing functions
• Finding slope from a graph
• Finding slope from two points
• Finding slope from an equation
• Graphing lines using slope-intercept form
• Graphing lines using standard form
• Writing linear equations
• Graphing linear inequalities
• Graphing absolute value equations
• Direct variation
• Solving systems of equations by graphing
• Solving systems of equations by elimination
• Solving systems of equations by substitution
• Systems of equations word problems
• Graphing systems of inequalities
• Discrete exponential growth and decay word problems
• Exponential functions and graphs
• Writing numbers in scientific notation
• Operations with scientific notation
• Addition and subtraction with scientific notation
• Naming polynomials
• Adding and subtracting polynomials
• Multiplying polynomials
• Multiplying special case polynomials
• Factoring special case polynomials
• Factoring by grouping
• Dividing polynomials
• Graphing quadratic inequalities
• Completing the square
• By taking square roots
• By factoring
• With the quadratic formula
• By completing the square
• Simplifying radicals
• Adding and subtracting radical expressions
• Multiplying radicals
• Dividing radicals
• Using the distance formula
• Using the midpoint formula
• Simplifying rational expressions
• Finding excluded values / restricted values
• Multiplying rational expressions
• Dividing rational expressions
• Adding and subtracting rational expressions
• Finding trig. ratios
• Finding angles of triangles
• Finding side lengths of triangles
• Visualizing data
• Center and spread of data
• Scatter plots
• Using statistical models

Algebra Worksheets

Free worksheets with answer keys.

Enjoy these free printable sheets . Each one has model problems worked out step by step, practice problems, as well as challenge questions at the sheets end. Plus each one comes with an answer key.

• Distance Formula
• Equation of Circle
• Factor Trinomials Worksheet
• Domain and Range
• Mixed Problems on Writing Equations of Lines
• Slope Intercept Form Worksheet
• Standard Form Worksheet
• Point Slope Worksheet
• Write Equation of Line from the Slope and 1 Point
• Write Equation of Line from Two Points
• Equation of Line Parallel to Another Line and Through a Point
• Equation of Line Perpendicular to Another Line and Through a Point
• Slope of a Line
• Perpendicular Bisector of Segment
• Write Equation of Line Mixed Review
• Word Problems
• Multiplying Monomials Worksheet
• Multiplying and Dividing Monomials Sheet
• Adding and Subtracting Polynomials Worksheet
• Multiplying Monomials with Polynomials Worksheet
• Multiplying Binomials Worksheet
• Multiplying Polynomials
• Simplifying Polynomials
• Factoring Trinomials
• Operations with Polynomials Worksheet
• Dividing Radicals
• Simplify Radicals Worksheet
• Adding Radicals
• Mulitplying Radicals Worksheet
• Radicals Review (Mixed review worksheet on radicals and square roots)
• Solve Systems of Equations Graphically
• Solve Systems of Equations by Elimination
• Solve by Substitution
• Solve Systems of Equations (Mixed review)
• Activity on Systems of Equations (Create an advertisement for your favorite method to Solve Systems of Equations )
• Real World Connections (Compare cell phone plans)
• Scientific Notation
• Operations with Scientific Notation

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Algebraic Expressions, Equations and Inequalities , General , Grade 8 Maths , Grades , Patterns, Functions and Algebra

Worksheet 9: Algebraic Equations (Term 2)

This grade 8 maths worksheet focuses on the algebraic equations learnt in term 2 of the CAPS guide. It focuses on solving equations and story sums by using the multiplicative and additive inverses, as well as substitution to find the other half of an ordered pair.

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Algebra Worksheets

Welcome to the Algebra worksheets page at Math-Drills.com, where unknowns are common and variables are the norm. On this page, you will find Algebra worksheets for middle school students on topics such as algebraic expressions, equations and graphing functions.

This page starts off with some missing numbers worksheets for younger students. We then get right into algebra by helping students recognize and understand the basic language related to algebra. The rest of the page covers some of the main topics you'll encounter in algebra units. Remember that by teaching students algebra, you are helping to create the future financial whizzes, engineers, and scientists that will solve all of our world's problems.

Algebra is much more interesting when things are more real. Solving linear equations is much more fun with a two pan balance, some mystery bags and a bunch of jelly beans. Algebra tiles are used by many teachers to help students understand a variety of algebra topics. And there is nothing like a set of co-ordinate axes to solve systems of linear equations.

Most Popular Algebra Worksheets this Week

Algebraic Properties, Rules and Laws Worksheets

The commutative law or commutative property states that you can change the order of the numbers in an arithmetic problem and still get the same results. In the context of arithmetic, it only works with addition or multiplication operations , but not mixed addition and multiplication. For example, 3 + 5 = 5 + 3 and 9 × 5 = 5 × 9. A fun activity that you can use in the classroom is to brainstorm non-numerical things from everyday life that are commutative and non-commutative. Putting on socks, for example, is commutative because you can put on the right sock then the left sock or you can put on the left sock then the right sock and you will end up with the same result. Putting on underwear and pants, however, is non-commutative.

• The Commutative Law Worksheets The Commutative Law of Addition (Numbers Only) The Commutative Law of Addition (Some Variables) The Commutative Law of Multiplication (Numbers Only) The Commutative Law of Multiplication (Some Variables)

The associative law or associative property allows you to change the grouping of the operations in an arithmetic problem with two or more steps without changing the result. The order of the numbers stays the same in the associative law. As with the commutative law, it applies to addition-only or multiplication-only problems. It is best thought of in the context of order of operations as it requires that parentheses must be dealt with first. An example of the associative law is: (9 + 5) + 6 = 9 + (5 + 6). In this case, it doesn't matter if you add 9 + 5 first or 5 + 6 first, you will end up with the same result. Students might think of some examples from their experience such as putting items on a tray at lunch. They could put the milk and vegetables on their tray first then the sandwich or they could start with the vegetables and sandwich then put on the milk. If their tray looks the same both times, they will have modeled the associative law. Reading a book could be argued as either associative or nonassociative as one could potentially read the final chapters first and still understand the book as well as someone who read the book the normal way.

• The Associative Law Worksheets The Associative Law of Addition (Whole Numbers Only) The Associative Law of Multiplication (Whole Numbers Only)

Inverse relationships worksheets cover a pre-algebra skill meant to help students understand the relationship between multiplication and division and the relationship between addition and subtraction.

• Inverse Mathematical Relationships with One Blank Addition and Subtraction Easy Addition and Subtraction Harder All Multiplication and Division Facts 1 to 18 in color (no blanks) Multiplication and Division Range 1 to 9 Multiplication and Division Range 5 to 12 Multiplication and Division All Inverse Relationships Range 2 to 9 Multiplication and Division All Inverse Relationships Range 5 to 12 Multiplication and Division All Inverse Relationships Range 10 to 25
• Inverse Mathematical Relationships with Two Blanks Addition and Subtraction (Sums 1-18) Addition and Subtraction Inverse Relationships with 1 Addition and Subtraction Inverse Relationships with 2 Addition and Subtraction Inverse Relationships with 3 Addition and Subtraction Inverse Relationships with 4 Addition and Subtraction Inverse Relationships with 5 Addition and Subtraction Inverse Relationships with 6 Addition and Subtraction Inverse Relationships with 7 Addition and Subtraction Inverse Relationships with 8 Addition and Subtraction Inverse Relationships with 9 Addition and Subtraction Inverse Relationships with 10 Addition and Subtraction Inverse Relationships with 11 Addition and Subtraction Inverse Relationships with 12 Addition and Subtraction Inverse Relationships with 13 Addition and Subtraction Inverse Relationships with 14 Addition and Subtraction Inverse Relationships with 15 Addition and Subtraction Inverse Relationships with 16 Addition and Subtraction Inverse Relationships with 17 Addition and Subtraction Inverse Relationships with 18

The distributive property is an important skill to have in algebra. In simple terms, it means that you can split one of the factors in multiplication into addends, multiply each addend separately, add the results, and you will end up with the same answer. It is also useful in mental math, an example of which should help illustrate the definition. Consider the question, 35 × 12. Splitting the 12 into 10 + 2 gives us an opportunity to complete the question mentally using the distributive property. First multiply 35 × 10 to get 350. Second, multiply 35 × 2 to get 70. Lastly, add 350 + 70 to get 420. In algebra, the distributive property becomes useful in cases where one cannot easily add the other factor before multiplying. For example, in the expression, 3(x + 5), x + 5 cannot be added without knowing the value of x. Instead, the distributive property can be used to multiply 3 × x and 3 × 5 to get 3x + 15.

• Distributive Property Worksheets Distributive Property (Answers do not include exponents) Distributive Property (Some answers include exponents) Distributive Property (All answers include exponents)

Students should be able to substitute known values in for an unknown(s) in an expression and evaluate the expression's value.

• Evaluating Expressions with Known Values Evaluating Expressions with One Variable, One Step and No Exponents Evaluating Expressions with One Variable and One Step Evaluating Expressions with One Variable and Two Steps Evaluating Expressions with Up to Two Variables and Two Steps Evaluating Expressions with Up to Two Variables and Three Steps Evaluating Expressions with Up to Three Variables and Four Steps Evaluating Expressions with Up to Three Variables and Five Steps

As the title says, these worksheets include only basic exponent rules questions. Each question only has two exponents to deal with; complicated mixed up terms and things that a more advanced student might work out are left alone. For example, 4 2 is (2 2 ) 2 = 2 4 , but these worksheets just leave it as 4 2 , so students can focus on learning how to multiply and divide exponents more or less in isolation.

• Exponent Rules for Multiplying, Dividing and Powers Mixed Exponent Rules (All Positive) Mixed Exponent Rules (With Negatives) Multiplying Exponents (All Positive) Multiplying Exponents (With Negatives) Multiplying the Same Exponent with Different Bases (All Positive) Multiplying the Same Exponent with Different Bases (With Negatives) Dividing Exponents with a Greater Exponent in Dividend (All Positive) Dividing Exponents with a Greater Exponent in Dividend (With Negatives) Dividing Exponents with a Greater Exponent in Divisor (All Positive) Dividing Exponents with a Greater Exponent in Divisor (With Negatives) Powers of Exponents (All Positive) Powers of Exponents (With Negatives)

Knowing the language of algebra can help to extract meaning from word problems and to situations outside of school. In these worksheets, students are challenged to convert phrases into algebraic expressions.

• Translating Algebraic Phrases into Expressions Translating Algebraic Phrases into Expressions (Simple Version) Translating Algebraic Phrases into Expressions (Complex Version)

Combining like terms is something that happens a lot in algebra. Students can be introduced to the topic and practice a bit with these worksheets. The bar is raised with the adding and subtracting versions that introduce parentheses into the expressions. For students who have a good grasp of fractions, simplifying simple algebraic fractions worksheets present a bit of a challenge over the other worksheets in this section.

• Simplifying Expressions by Combining Like Terms Simplifying Linear Expressions with 3 terms Simplifying Linear Expressions with 4 terms Simplifying Linear Expressions with 5 terms Simplifying Linear Expressions with 6 to 10 terms
• Simplifying Expressions by Combining Like Terms with Some Arithmetic Adding and simplifying linear expressions Adding and simplifying linear expressions with multipliers Adding and simplifying linear expressions with some multipliers . Subtracting and simplifying linear expressions Subtracting and simplifying linear expressions with multipliers Subtracting and simplifying linear expressions with some multipliers Mixed adding and subtracting and simplifying linear expressions Mixed adding and subtracting and simplifying linear expressions with multipliers Mixed adding and subtracting and simplifying linear expressions with some multipliers Simplify simple algebraic fractions (easier) Simplify simple algebraic fractions (harder)
• Rewriting Linear Equations Rewrite Linear Equations in Standard Form Convert Linear Equations from Standard to Slope-Intercept Form Convert Linear Equations from Slope-Intercept to Standard Form Convert Linear Equations Between Standard and Slope-Intercept Form
• Rewriting Formulas Rewriting Formulas (addition and subtraction; about one step) Rewriting Formulas (addition and subtraction; about two steps) Rewriting Formulas ( multiplication and division ; about one step)

Linear Expressions and Equations

In these worksheets, the unknown is limited to the question side of the equation which could be on the left or the right of equal sign.

• Missing Numbers in Equations with Blanks as Unknowns Missing Numbers in Equations ( All Operations ; Range 1 to 9 ; Blanks Never in Answer Position ) Missing Numbers in Equations ( All Operations ; Range 1 to 9 ; Blanks in Any Position ) Missing Numbers in Equations ( All Operations ; Range 1 to 20 ; Blanks Never in Answer Position ) Missing Numbers in Equations ( All Operations ; Range 1 to 20 ; Blanks in Any Position ) Missing Numbers in Equations ( Addition Only ; Range 1 to 9 ; Blanks Never in Answer Position ) Missing Numbers in Equations ( Addition Only ; Range 1 to 9 ; Blanks in Any Position ) Missing Numbers in Equations ( Addition Only ; Range 1 to 20 ; Blanks in Any Position ) Missing Numbers in Equations ( Subtraction Only ; Range 1 to 9 ; Blanks Never in Answer Position ) Missing Numbers in Equations ( Subtraction Only ; Range 1 to 9 ; Blanks in Any Position ) Missing Numbers in Equations ( Subtraction Only ; Range 1 to 20 ; Blanks in Any Position ) Missing Numbers in Equations ( Multiplication Only ; Range 1 to 9 ; Blanks Never in Answer Position ) Missing Numbers in Equations ( Multiplication Only ; Range 1 to 9 ; Blanks in Any Position ) Missing Numbers in Equations ( Multiplication Only ; Range 1 to 20 ; Blanks in Any Position ) Missing Numbers in Equations ( Division Only ; Range 1 to 9 ; Blanks Never in Answer Position ) Missing Numbers in Equations ( Division Only ; Range 1 to 9 ; Blanks in Any Position ) Missing Numbers in Equations ( Division Only ; Range 1 to 20 ; Blanks in Any Position )
• Missing Numbers in Equations with Symbols as Unknowns Missing Numbers in Equations ( All Operations ; Range 1 to 9 ; Symbols Never in Answer Position ) Missing Numbers in Equations ( All Operations ; Range 1 to 9 ; Symbols in Any Position ) Missing Numbers in Equations ( All Operations ; Range 1 to 20 ; Symbols Never in Answer Position ) Missing Numbers in Equations ( All Operations ; Range 1 to 20 ; Symbols in Any Position ) Missing Numbers in Equations ( Addition Only ; Range 1 to 9 ; Symbols Never in Answer Position ) Missing Numbers in Equations ( Addition Only ; Range 1 to 9 ; Symbols in Any Position ) Missing Numbers in Equations ( Addition Only ; Range 1 to 20 ; Symbols in Any Position ) Missing Numbers in Equations ( Subtraction Only ; Range 1 to 9 ; Symbols Never in Answer Position ) Missing Numbers in Equations ( Subtraction Only ; Range 1 to 9 ; Symbols in Any Position ) Missing Numbers in Equations ( Subtraction Only ; Range 1 to 20 ; Symbols in Any Position ) Missing Numbers in Equations ( Multiplication Only ; Range 1 to 9 ; Symbols Never in Answer Position ) Missing Numbers in Equations ( Multiplication Only ; Range 1 to 9 ; Symbols in Any Position ) Missing Numbers in Equations ( Multiplication Only ; Range 1 to 20 ; Symbols in Any Position ) Missing Numbers in Equations ( Division Only ; Range 1 to 9 ; Symbols Never in Answer Position ) Missing Numbers in Equations ( Division Only ; Range 1 to 9 ; Symbols in Any Position ) Missing Numbers in Equations ( Division Only ; Range 1 to 20 ; Symbols in Any Position )
• Solving Equations with Addition and Symbols as Unknowns Equalities with Addition (0 to 9) Symbol Unknowns Equalities with Addition (1 to 12) Symbol Unknowns Equalities with Addition (1 to 15) Symbol Unknowns Equalities with Addition (1 to 25) Symbol Unknowns Equalities with Addition (1 to 99) Symbol Unknowns
• Missing Numbers in Equations with Variables as Unknowns Missing Numbers in Equations ( All Operations ; Range 1 to 9 ; Variables Never in Answer Position ) Missing Numbers in Equations ( All Operations ; Range 1 to 9 ; Variables in Any Position ) Missing Numbers in Equations ( All Operations ; Range 1 to 20 ; Variables Never in Answer Position ) Missing Numbers in Equations ( All Operations ; Range 1 to 20 ; Variables in Any Position ) Missing Numbers in Equations ( Addition Only ; Range 1 to 9 ; Variables Never in Answer Position ) Missing Numbers in Equations ( Addition Only ; Range 1 to 9 ; Variables in Any Position ) Missing Numbers in Equations ( Addition Only ; Range 1 to 20 ; Variables in Any Position ) Missing Numbers in Equations ( Subtraction Only ; Range 1 to 9 ; Variables Never in Answer Position ) Missing Numbers in Equations ( Subtraction Only ; Range 1 to 9 ; Variables in Any Position ) Missing Numbers in Equations ( Subtraction Only ; Range 1 to 20 ; Variables in Any Position ) Missing Numbers in Equations ( Multiplication Only ; Range 1 to 9 ; Variables Never in Answer Position ) Missing Numbers in Equations ( Multiplication Only ; Range 1 to 9 ; Variables in Any Position ) Missing Numbers in Equations ( Multiplication Only ; Range 1 to 20 ; Variables in Any Position ) Missing Numbers in Equations ( Division Only ; Range 1 to 9 ; Variables Never in Answer Position ) Missing Numbers in Equations ( Division Only ; Range 1 to 9 ; Variables in Any Position ) Missing Numbers in Equations ( Division Only ; Range 1 to 20 ; Variables in Any Position )
• Solving Simple Linear Equations Solving Simple Linear Equations with Values from -9 to 9 (Unknown on Left Side) Solving Simple Linear Equations with Values from -99 to 99 (Unknown on Left Side) Solving Simple Linear Equations with Values from -9 to 9 (Unknown on Right or Left Side) Solving Simple Linear Equations with Values from -99 to 99 (Unknown on Right or Left Side)
• Determining Linear Equations from Slopes, y-intercepts and Points Determine a Linear Equation from the Slope and y-intercept Determine a Linear Equation from the Slope and a Point Determine a Linear Equation from Two Points Determine a Linear Equation from Two Points by Graphing

Graphing linear equations and reading existing graphs give students a visual representation that is very useful in understanding the concepts of slope and y-intercept.

• Graphing Linear Equations Graph Slope-Intercept Equations
• Determining Linear Equations from Graphs Determine the Equation from a Graph Determine the Slope from a Graph Determine the y-intercept from a Graph Determine the x-intercept from a Graph Determine the slope and y-intercept from a Graph Determine the slope and intercepts from a Graph Determine the slope, intercepts and equation from a Graph

Solving linear equations with jelly beans is a fun activity to try with students first learning algebraic concepts. Ideally, you will want some opaque bags with no mass, but since that isn't quite possible (the no mass part), there is a bit of a condition here that will actually help students understand equations better. Any bags that you use have to be balanced on the other side of the equation with empty ones.

Probably the best way to illustrate this is through an example. Let's use 3 x + 2 = 14. You may recognize the x as the unknown which is actually the number of jelly beans we put in each opaque bag. The 3 in the 3 x means that we need three bags. It's best to fill the bags with the required number of jelly beans out of view of the students, so they actually have to solve the equation.

On one side of the two-pan balance, place the three bags with x jelly beans in each one and two loose jelly beans to represent the + 2 part of the equation. On the other side of the balance, place 14 jelly beans and three empty bags which you will note are required to "balance" the equation properly. Now comes the fun part... if students remove the two loose jelly beans from one side of the equation, things become unbalanced, so they need to remove two jelly beans from the other side of the balance to keep things even. Eating the jelly beans is optional. The goal is to isolate the bags on one side of the balance without any loose jelly beans while still balancing the equation.

The last step is to divide the loose jelly beans on one side of the equation into the same number of groups as there are bags. This will probably give you a good indication of how many jelly beans there are in each bag. If not, eat some and try again. Now, we realize this won't work for every linear equation as it is hard to have negative jelly beans, but it is another teaching strategy that you can use for algebra.

Despite all appearances, equations of the type a/ x are not linear. Instead, they belong to a different kind of equations. They are good for combining them with linear equations, since they introduce the concept of valid and invalid answers for an equation (what will be later called the domain of a function). In this case, the invalid answers for equations in the form a/ x , are those that make the denominator become 0.

• Solving Linear Equations Combining Like Terms and Solving Simple Linear Equations Solving a x = c Linear Equations Solving a x = c Linear Equations including negatives Solving x /a = c Linear Equations Solving x /a = c Linear Equations including negatives Solving a/ x = c Linear Equations Solving a/ x = c Linear Equations including negatives Solving a x + b = c Linear Equations Solving a x + b = c Linear Equations including negatives Solving a x - b = c Linear Equations Solving a x - b = c Linear Equations including negatives Solving a x ± b = c Linear Equations Solving a x ± b = c Linear Equations including negatives Solving x /a ± b = c Linear Equations Solving x /a ± b = c Linear Equations including negatives Solving a/ x ± b = c Linear Equations Solving a/ x ± b = c Linear Equations including negatives Solving various a/ x ± b = c and x /a ± b = c Linear Equations Solving various a/ x ± b = c and x /a ± b = c Linear Equations including negatives Solving linear equations of all types Solving linear equations of all types including negatives

Algebra rectangles are rectangles that use linear expressions for the side measurements. With a known value (such as the perimeter), students create an algebraic equation that they can solve to determine the value of the unknown (x) and use it to determine the side lengths and area of the rectangle. The terminology in identifying the various options for worksheets use the standard equation y = mx + b where m is the coeffient of x that is generally a known value.

• Algebra Rectangles Algebra Rectangles -- Determining the Value of x, Length, Width and Area Using Algebraic Sides and the Perimeter -- m Range [1,1] Algebra Worksheet -{}- Algebra Rectangles -- Determining the Value of x, Length, Width and Area Using Algebraic Sides and the Perimeter -- m Range [2,9] Algebra Worksheet -{}- Algebra Rectangles -- Determining the Value of x, Length, Width and Area Using Algebraic Sides and the Perimeter -- m Range [2,9] or [-9,-2] Algebra Worksheet -{}- Algebra Rectangles -- Determining the Value of x, Length, Width and Area Using Algebraic Sides and the Perimeter -- m Range [2,9] or [-9,-2] -- Inverse m Possible

Linear Systems

• Solving Systems of Linear Equations Easy Linear Systems with Two Variables Easy Linear Systems with Two Variables including negative values Linear Systems with Two Variables Linear Systems with Two Variables including negative values Easy Linear Systems with Three Variables; Easy Easy Linear Systems with Three Variables including negative values Linear Systems with Three Variables Linear Systems with Three Variables including negative values
• Solving Systems of Linear Equations by Graphing Solve Linear Systems by Graphing (Solutions in first quadrant only) Solve Standard Linear Systems by Graphing Solve Slope-Intercept Linear Systems by Graphing Solve Various Linear Systems by Graphing Identify the Dependent Linear System by Graphing Identify the Inconsistent Linear System by Graphing

Quadratic Expressions and Equations

• Simplifying (Combining Like Terms) Quadratic Expressions Simplifying quadratic expressions with 5 terms Simplifying quadratic expressions with 6 terms Simplifying quadratic expressions with 7 terms Simplifying quadratic expressions with 8 terms Simplifying quadratic expressions with 9 terms Simplifying quadratic expressions with 10 terms Simplifying quadratic expressions with 5 to 10 terms
• Adding/Subtracting and Simplifying Quadratic Expressions Adding and simplifying quadratic expressions. Adding and simplifying quadratic expressions with multipliers. Adding and simplifying quadratic expressions with some multipliers. Subtracting and simplifying quadratic expressions. Subtracting and simplifying quadratic expressions with multipliers. Subtracting and simplifying quadratic expressions with some multipliers. Mixed adding and subtracting and simplifying quadratic expressions. Mixed adding and subtracting and simplifying quadratic expressions with multipliers. Mixed adding and subtracting and simplifying quadratic expressions with some multipliers.
• Multiplying Factors to Get Quadratic Expressions Multiplying Factors of Quadratics with Coefficients of 1 Multiplying Factors of Quadratics with Coefficients of 1 or -1 Multiplying Factors of Quadratics with Coefficients of 1, or 2 Multiplying Factors of Quadratics with Coefficients of 1, -1, 2 or -2 Multiplying Factors of Quadratics with Coefficients up to 9 Multiplying Factors of Quadratics with Coefficients between -9 and 9

The factoring quadratic expressions worksheets in this section provide many practice questions for students to hone their factoring strategies. If you would rather worksheets with quadratic equations, please see the next section. These worksheets come in a variety of levels with the easier ones are at the beginning. The 'a' coefficients referred to below are the coefficients of the x 2 term as in the general quadratic expression: ax 2 + bx + c. There are also worksheets in this section for calculating sum and product and for determining the operands for sum and product pairs.

• Factoring Quadratic Expressions Factoring Quadratic Expressions with Positive 'a' coefficients of 1 Factoring Quadratic Expressions with Positive or Negative 'a' coefficients of 1 Factoring Quadratic Expressions with Positive or Negative 'a' coefficients of 1 with a Common Factor Step Factoring Quadratic Expressions with Positive 'a' coefficients up to 4 Factoring Quadratic Expressions with Positive or Negative 'a' coefficients up to 4 Factoring Quadratic Expressions with Positive or Negative 'a' coefficients up to 4 with a Common Factor Step Factoring Quadratic Expressions with Positive 'a' coefficients up to 5 Factoring Quadratic Expressions with Positive or Negative 'a' coefficients up to 5 Factoring Quadratic Expressions with Positive or Negative 'a' coefficients up to 5 with a Common Factor Step Factoring Quadratic Expressions with Positive 'a' coefficients up to 9 Factoring Quadratic Expressions with Positive or Negative 'a' coefficients up to 9 Factoring Quadratic Expressions with Positive or Negative 'a' coefficients up to 9 with a Common Factor Step Factoring Quadratic Expressions with Positive 'a' coefficients up to 81 Factoring Quadratic Expressions with Positive or Negative 'a' coefficients up to 81 Factoring Quadratic Expressions with Positive or Negative 'a' coefficients up to 81 with a Common Factor Step Calculating Sum and Product (Operand Range 0 to 9 ) ✎ Calculating Sum and Product (Operand Range 1 to 9 ) ✎ Calculating Sum and Product (Operand Range 0 to 9 Including Negatives ) ✎ Calculating Sum and Product (Operand Range 1 to 9 Including Negatives ) ✎ Calculating Sum and Product (Operand Range -20 to 20 ) ✎ Calculating Sum and Product (Operand Range -99 to 99 ) ✎ Determining Operands from Sum and Product Pairs (Operand Range 0 to 9 ) ✎ Determining Operands from Sum and Product Pairs (Operand Range 1 to 9 ) ✎ Determining Operands from Sum and Product Pairs (Operand Range 0 to 12 ) ✎ Determining Operands from Sum and Product Pairs (Operand Range 1 to 12 ) ✎ Determining Operands from Sum and Product Pairs (Operand Range 0 to 9 Including Negatives ) ✎ Determining Operands from Sum and Product Pairs (Operand Range 1 to 9 Including Negatives ) ✎ Determining Operands from Sum and Product Pairs (Operand Range -20 to 20 ) ✎ Determining Operands from Sum and Product Pairs (Operand Range -99 to 99 ) ✎

Whether you use trial and error, completing the square or the general quadratic formula, these worksheets include a plethora of practice questions with answers. In the first section, the worksheets include questions where the quadratic expressions equal 0. This makes the process similar to factoring quadratic expressions, with the additional step of finding the values for x when the expression is equal to 0. In the second section, the expressions are generally equal to something other than x, so there is an additional step at the beginning to make the quadratic expression equal zero.

• Solving Quadratic Equations that Equal Zero Solving Quadratic Equations with Positive 'a' coefficients of 1 Solving Quadratic Equations with Positive or Negative 'a' coefficients of 1 Solving Quadratic Equations with Positive or Negative 'a' coefficients of 1 with a Common Factor Step Solving Quadratic Equations with Positive 'a' coefficients up to 4 Solving Quadratic Equations with Positive or Negative 'a' coefficients up to 4 Solving Quadratic Equations with Positive or Negative 'a' coefficients up to 4 with a Common Factor Step Solving Quadratic Equations with Positive 'a' coefficients up to 5 Solving Quadratic Equations with Positive or Negative 'a' coefficients up to 5 Solving Quadratic Equations with Positive or Negative 'a' coefficients up to 5 with a Common Factor Step Solving Quadratic Equations with Positive 'a' coefficients up to 9 Solving Quadratic Equations with Positive or Negative 'a' coefficients up to 9 Solving Quadratic Equations with Positive or Negative 'a' coefficients up to 9 with a Common Factor Step Solving Quadratic Equations with Positive 'a' coefficients up to 81 Solving Quadratic Equations with Positive or Negative 'a' coefficients up to 81 Solving Quadratic Equations with Positive or Negative 'a' coefficients up to 81 with a Common Factor Step
• Solving Quadratic Equations that Equal an Integer Solving Quadratic Equations for x ("a" coefficients of 1) Solving Quadratic Equations for x ("a" coefficients of 1 or -1) Solving Quadratic Equations for x ("a" coefficients up to 4) Solving Quadratic Equations for x ("a" coefficients between -4 and 4) Solving Quadratic Equations for x ("a" coefficients up to 81) Solving Quadratic Equations for x ("a" coefficients between -81 and 81)

Other Polynomial and Monomial Expressions & Equations

• Simplifying Polynomials That Involve Addition And Subtraction Addition and Subtraction; 1 variable; 3 terms Addition and Subtraction; 1 variable; 4 terms Addition and Subtraction; 2 variables; 4 terms Addition and Subtraction; 2 variables; 5 terms Addition and Subtraction; 2 variables; 6 terms
• Simplifying Polynomials That Involve Multiplication And Division Multiplication and Division; 1 variable; 3 terms Multiplication and Division; 1 variable; 4 terms Multiplication and Division; 2 variables; 4 terms Multiplication and Division; 2 variables; 5 terms
• Simplifying Polynomials That Involve Addition, Subtraction, Multiplication And Division All Operations; 1 variable; 3 terms All Operations; 1 variable; 4 terms All Operations; 2 variables; 4 terms All Operations; 2 variables; 5 terms All Operations (Challenge)
• Factoring Expressions That Do Not Include A Squared Variable Factoring Non-Quadratic Expressions with No Squares, Simple Coefficients, and Positive Multipliers Factoring Non-Quadratic Expressions with No Squares, Simple Coefficients, and Negative and Positive Multipliers Factoring Non-Quadratic Expressions with No Squares, Compound Coefficients, and Positive Multipliers Factoring Non-Quadratic Expressions with No Squares, Compound Coefficients, and Negative and Positive Multipliers
• Factoring Expressions That Always Include A Squared Variable Factoring Non-Quadratic Expressions with All Squares, Simple Coefficients, and Positive Multipliers Factoring Non-Quadratic Expressions with All Squares, Simple Coefficients, and Negative and Positive Multipliers Factoring Non-Quadratic Expressions with All Squares, Compound Coefficients, and Positive Multipliers Factoring Non-Quadratic Expressions with All Squares, Compound Coefficients, and Negative and Positive Multipliers
• Factoring Expressions That Sometimes Include Squared Variables Factoring Non-Quadratic Expressions with Some Squares, Simple Coefficients, and Positive Multipliers Factoring Non-Quadratic Expressions with Some Squares, Simple Coefficients, and Negative and Positive Multipliers Factoring Non-Quadratic Expressions with Some Squares, Compound Coefficients, and Positive Multipliers Factoring Non-Quadratic Expressions with Some Squares, Compound Coefficients, and Negative and Positive Multipliers
• Multiplying Polynomials With Two Factors Multiplying a monomial by a binomial Multiplying two binomials Multiplying a monomial by a trinomial Multiplying a binomial by a trinomial Multiplying two trinomials Multiplying two random mon/polynomials
• Multiplying Polynomials With Three Factors Multiplying a monomial by two binomials Multiplying three binomials Multiplying two binomials by a trinomial Multiplying a binomial by two trinomials Multiplying three trinomials Multiplying three random mon/polynomials

Inequalities

• Writing The Inequality That Matches The Graph Writing Inequalities for Graphs
• Graphing Inequalities On Number Lines Graphing Inequalities (Basic)
• Solving Linear Inequalities Solving Inequalities Including a Third Term Solving Inequalities Including a Third Term and Multiplication Solving Inequalities Including a Third Term, Multiplication and Division

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Seventh grade math

IXL offers hundreds of seventh grade math skills to explore and learn! Not sure where to start? Go to your personalized Recommendations wall to find a skill that looks interesting, or select a skill plan that aligns to your textbook, state standards, or standardized test.

A. Integers

• 1 Understanding integers
• 2 Integers on number lines
• 3 Graph integers on horizontal and vertical number lines
• 4 Understanding absolute value
• 5 Absolute value and opposite integers
• 6 Quantities that combine to zero: word problems
• 7 Compare and order integers
• 8 Integer inequalities with absolute values

B. Operations with integers

• 1 Add integers using counters
• 2 Add integers using number lines
• 3 Integer addition rules
• 4 Add integers
• 5 Add three or more integers
• 6 Subtract integers using counters
• 7 Subtract integers using number lines
• 8 Integer subtraction rules
• 9 Subtract integers
• 10 Integer addition and subtraction rules
• 11 Add and subtract integers using counters
• 12 Add and subtract integers
• 13 Complete addition and subtraction equations with integers
• 14 Add and subtract integers: word problems
• 15 Understand multiplying by a negative integer using a number line
• 16 Integer multiplication rules
• 17 Multiply integers
• 18 Integer division rules
• 19 Equal quotients of integers
• 20 Divide integers
• 21 Integer multiplication and division rules
• 22 Multiply and divide integers
• 23 Complete multiplication and division equations with integers
• 24 Add, subtract, multiply, and divide integers
• 25 Evaluate numerical expressions involving integers

C. Decimals

• 1 Decimal numbers review
• 2 Compare and order decimals
• 3 Round decimals

D. Operations with decimals

• 1 Add and subtract decimals
• 2 Add and subtract decimals: word problems
• 3 Multiply decimals
• 4 Multiply decimals and whole numbers: word problems
• 5 Divide decimals
• 6 Divide decimals by whole numbers: word problems
• 7 Estimate sums, differences, and products of decimals
• 8 Add, subtract, multiply, or divide two decimals
• 9 Add, subtract, multiply, and divide decimals: word problems
• 10 Multi-step inequalities with decimals
• 11 Maps with decimal distances
• 12 Evaluate numerical expressions involving decimals

E. Number theory

• 1 Prime factorization
• 2 Greatest common factor
• 3 Least common multiple
• 4 GCF and LCM: word problems

F. Fractions

• 1 Understanding fractions: word problems
• 2 Equivalent fractions
• 3 Write fractions in lowest terms
• 4 Fractions: word problems with graphs and tables
• 5 Least common denominator
• 6 Compare and order fractions
• 7 Compare fractions: word problems
• 8 Convert between mixed numbers and improper fractions
• 9 Compare mixed numbers and improper fractions
• 10 Round mixed numbers

G. Operations with fractions

• 1 Add and subtract fractions
• 2 Add and subtract fractions: word problems
• 3 Add and subtract mixed numbers
• 4 Add and subtract mixed numbers: word problems
• 5 Inequalities with addition and subtraction of fractions and mixed numbers
• 6 Estimate sums and differences of mixed numbers
• 7 Multiply two fractions using models
• 8 Multiply fractions
• 9 Multiply mixed numbers
• 10 Multiply fractions and mixed numbers: word problems
• 11 Multiplicative inverses
• 12 Divide fractions
• 13 Divide mixed numbers
• 14 Divide fractions and mixed numbers: word problems
• 15 Estimate products and quotients of fractions and mixed numbers
• 16 Add, subtract, multiply, and divide fractions and mixed numbers: word problems
• 17 Maps with fractional distances
• 18 Evaluate numerical expressions involving fractions

H. Rational numbers

• 1 Convert fractions or mixed numbers to decimals
• 2 Convert decimals to fractions or mixed numbers
• 3 Convert between decimals and fractions or mixed numbers
• 4 Identify rational numbers
• 5 Classify rational numbers using a diagram
• 6 Classify rational numbers
• 7 Absolute value of rational numbers
• 8 Compare rational numbers
• 9 Put rational numbers in order
• 10 Classify real numbers

I. Operations with rational numbers

• 1 Add and subtract positive and negative decimals
• 2 Add and subtract positive and negative fractions
• 3 Add and subtract rational numbers
• 4 Rational numbers: find the sign
• 5 Apply addition and subtraction rules
• 6 Identify quotients of rational numbers: word problems
• 7 Multiply and divide positive and negative decimals
• 8 Multiply and divide positive and negative fractions
• 9 Multiply and divide rational numbers
• 10 Apply multiplication and division rules
• 11 Multi-step word problems with positive rational numbers

J. Exponents

• 1 Understanding exponents
• 2 Evaluate powers
• 3 Solve equations with variable exponents
• 4 Powers with negative bases
• 5 Powers with decimal and fractional bases
• 6 Powers of ten
• 7 Evaluate numerical expressions involving exponents
• 8 Scientific notation
• 9 Compare numbers written in scientific notation

K. Square roots

• 1 Square roots of perfect squares
• 2 Estimate square roots

L. Ratios, rates, and proportions

• 1 Understanding ratios
• 2 Identify equivalent ratios
• 3 Write an equivalent ratio
• 4 Equivalent ratios: word problems
• 5 Unit rates
• 6 Calculate unit rates with fractions
• 7 Compare ratios: word problems
• 8 Compare rates: word problems
• 9 Do the ratios form a proportion?
• 10 Do the ratios form a proportion: word problems
• 11 Solve proportions
• 12 Solve proportions: word problems
• 13 Estimate population size using proportions

M. Coordinate plane

• 1 Coordinate plane review
• 2 Quadrants and axes
• 3 Follow directions on a coordinate plane
• 4 Distance between two points

N. Proportional relationships

• 1 Find the constant of proportionality from a table
• 2 Write equations for proportional relationships from tables
• 3 Identify proportional relationships by graphing
• 4 Find the constant of proportionality from a graph
• 5 Write equations for proportional relationships from graphs
• 6 Identify proportional relationships from graphs and equations
• 7 Identify proportional relationships from tables
• 8 Complete a table and graph a proportional relationship
• 9 Graph a proportional relationship: word problems
• 10 Interpret graphs of proportional relationships
• 11 Write and solve equations for proportional relationships

O. Percents

• 1 What percentage is illustrated?
• 2 Convert between percents, fractions, and decimals
• 3 Compare percents to fractions and decimals
• 4 Estimate percents of numbers
• 5 Solve percent problems using strip models
• 6 Percents of numbers and money amounts
• 7 Percents of numbers: word problems
• 8 Solve percent equations
• 9 Solve percent equations: word problems
• 10 Percent of change
• 11 Percent of change: word problems
• 12 Percent of change: find the original amount word problems
• 13 Percent error: word problems

P. Consumer math

• 1 Add, subtract, multiply, and divide money amounts: word problems
• 2 Price lists
• 3 Unit prices
• 4 Unit prices with unit conversions
• 5 Unit prices: find the total price
• 6 Percent of a number: tax, discount, and more
• 7 Which is the better coupon?
• 8 Find the percent: tax, discount, and more
• 9 Sale prices: find the original price
• 10 Multi-step problems with percents
• 11 Estimate tips
• 12 Simple interest
• 13 Compound interest

Q. Units of measurement

• 1 Compare and convert customary units
• 2 Mixed customary units
• 3 Compare and convert metric units
• 4 Convert between customary and metric systems
• 5 Celsius and Fahrenheit temperatures

R. Expressions

• 1 Write variable expressions: one operation
• 2 Write variable expressions: two or three operations
• 3 Write variable expressions: word problems
• 4 Evaluate linear expressions
• 5 Evaluate multi-variable expressions
• 6 Evaluate absolute value expressions
• 7 Evaluate nonlinear expressions
• 8 Identify terms and coefficients
• 9 Sort factors of variable expressions

S. Equivalent expressions

• 1 Properties of addition and multiplication
• 2 Simplify expressions by combining like terms: with algebra tiles
• 3 Simplify expressions by combining like terms
• 4 Multiply using the distributive property: area models
• 5 Multiply using the distributive property
• 6 Write equivalent expressions using properties
• 7 Add and subtract linear expressions
• 8 Add and subtract like terms: with exponents
• 9 Factor linear expressions: area models
• 10 Factors of linear expressions
• 11 Identify equivalent linear expressions using algebra tiles
• 12 Identify equivalent linear expressions I
• 13 Identify equivalent linear expressions II
• 14 Identify equivalent linear expressions: word problems

T. One-variable equations

• 1 Which x satisfies an equation?
• 2 Write an equation from words
• 3 Solve equations using properties
• 4 Model and solve equations using algebra tiles
• 5 Write and solve equations that represent diagrams
• 6 Solve one-step equations
• 7 Solve two-step equations without parentheses
• 8 Solve two-step equations with parentheses
• 9 Solve two-step equations
• • New! Solve two-step equations with fractions
• 10 Choose two-step equations: word problems
• 11 Solve two-step equations: word problems
• 12 Solve equations involving like terms
• 13 Solve equations: complete the solution

U. One-variable inequalities

• 1 Solutions to inequalities
• 2 Graph inequalities on number lines
• 3 Write inequalities from number lines
• 4 Solve one-step inequalities
• 5 Graph solutions to one-step inequalities
• 6 One-step inequalities: word problems
• 7 Solve two-step inequalities
• 8 Graph solutions to two-step inequalities

V. Sequences

• 1 Identify arithmetic and geometric sequences
• 2 Arithmetic sequences
• 3 Geometric sequences
• 4 Sequences: mixed review
• 5 Sequences: word problems
• 6 Evaluate variable expressions for sequences
• 7 Write variable expressions for arithmetic sequences
• 1 Find the slope from a graph
• 2 Find the slope from two points
• 3 Find a missing coordinate using slope
• 4 Graph a line using slope
• 5 Constant rate of change
• 6 Rate of change: tables
• 7 Rate of change: graphs

X. Two-variable equations

• 1 Identify independent and dependent variables
• 2 Find a value using two-variable equations
• 3 Evaluate two-variable equations: word problems
• 4 Complete a table for a two-variable relationship
• 5 Write a two-variable equation
• 6 Identify the graph of an equation
• 7 Graph a two-variable equation
• 8 Interpret a graph: word problems
• 9 Write an equation from a graph using a table
• 10 Write a linear equation from a graph

Y. Lines and angles

• 1 Name, measure, and classify angles
• 2 Lines, line segments, and rays
• 3 Parallel, perpendicular, and intersecting lines
• 4 Identify complementary, supplementary, vertical, and adjacent angles
• 5 Find measures of complementary, supplementary, vertical, and adjacent angles
• 6 Write and solve equations using angle relationships
• 7 Identify alternate interior and alternate exterior angles
• 8 Transversals of parallel lines: name angle pairs
• 9 Transversals of parallel lines: find angle measures
• 10 Find lengths and measures of bisected line segments and angles

Z. Two-dimensional figures

• 1 Identify and classify polygons
• 2 Classify triangles
• 3 Triangle inequality
• 4 Identify trapezoids
• 5 Classify quadrilaterals I
• 6 Classify quadrilaterals II
• 7 Graph triangles and quadrilaterals
• 8 Find missing angles in triangles
• 9 Find missing angles in triangles using ratios
• 10 Find missing angles in quadrilaterals I
• 11 Find missing angles in quadrilaterals II
• 12 Interior angles of polygons
• 13 Parts of a circle
• 14 Central angles of circles

AA. Three-dimensional figures

• 1 Bases of three-dimensional figures
• 2 Nets of three-dimensional figures
• 3 Front, side, and top view
• 4 Cross sections of three-dimensional figures

BB. Perimeter and area

• 1 Perimeter
• 2 Area of rectangles and parallelograms
• 3 Area of triangles and trapezoids
• 4 Area and perimeter: word problems
• 5 Circumference of circles
• 6 Area of circles
• 7 Circles: word problems
• 8 Area of semicircles and quarter circles
• 9 Semicircles: calculate area, perimeter, radius, and diameter
• 10 Quarter circles: calculate area, perimeter, and radius
• 11 Area of compound figures made of rectangles
• 12 Area of compound figures with triangles
• 13 Area of compound figures with triangles, semicircles, and quarter circles
• 14 Area between two shapes

CC. Surface area and volume

• 1 Surface area of cubes and prisms
• 2 Surface area of pyramids
• • New! Lateral area of prisms and pyramids
• 3 Surface area of cylinders
• 4 Volume of cubes and prisms
• 5 Volume of cubes and rectangular prisms: word problems
• 6 Volume of prisms: advanced
• 7 Volume of pyramids
• 8 Volume of cylinders

DD. Scale drawings

• 1 Scale drawings of polygons
• 2 Scale drawings: word problems
• 3 Scale drawings: scale factor word problems
• 4 Perimeter and area: changes in scale

EE. Transformations

• 1 Identify reflections, rotations, and translations
• 2 Translations: graph the image
• 3 Translations: find the coordinates
• 4 Reflections over the x- and y-axes: graph the image
• 5 Reflections over the x- and y-axes: find the coordinates
• 6 Reflections: graph the image
• 7 Reflections: find the coordinates
• 8 Rotations: graph the image
• 9 Rotations: find the coordinates

FF. Congruence and similarity

• 1 Similar and congruent figures
• 2 Congruence statements and corresponding parts
• 3 Side lengths and angle measures of congruent figures
• 4 Side lengths and angle measures of similar figures
• 5 Similar figures and indirect measurement

GG. Data and graphs

• 1 Interpret line plots
• 2 Create line plots
• 3 Create and interpret line plots with fractions
• 4 Interpret stem-and-leaf plots
• 5 Create stem-and-leaf plots
• 6 Interpret bar graphs
• 7 Create bar graphs
• 8 Interpret histograms
• 9 Create histograms
• 10 Create frequency charts
• 11 Interpret circle graphs
• 12 Circle graphs and central angles
• 13 Box plots

HH. Statistics

• 1 Calculate mean, median, mode, and range
• 2 Interpret charts and graphs to find mean, median, mode, and range
• 3 Mean, median, mode, and range: find the missing number
• 4 Changes in mean, median, mode, and range
• 5 Calculate mean absolute deviation
• 6 Calculate quartiles and interquartile range
• 7 Identify an outlier
• 8 Identify representative, random, and biased samples
• • New! Make inferences from multiple samples
• 9 Compare populations using measures of center and spread

II. Probability

• 1 Probability of simple events
• 2 Probability of simple events and opposite events
• 3 Probability of mutually exclusive events and overlapping events
• 4 Experimental probability
• 5 Make predictions using experimental probability
• 6 Use collected data to find probabilities and make predictions
• 7 Make predictions using theoretical probability
• 8 Compound events: find the number of outcomes
• 9 Compound events: find the number of sums
• 10 Find the number of outcomes: word problems
• 11 Probability of compound events
• 12 Which simulation represents the situation?
• 13 Identify independent and dependent events
• 14 Probability of independent and dependent events

Seventh grade lessons

These lessons help you brush up on important math topics and prepare you to dive into skill practice!

• Absolute value
• Additive inverses
• Adding and subtracting integers
• Multiplying and dividing integers
• Adding decimals
• Subtracting decimals
• Multiplying decimals by powers of 10
• Multiplying decimals by whole numbers
• Multiplying decimals
• Dividing decimals by powers of 10
• Dividing decimals by whole numbers
• Dividing decimals
• Rational numbers
• Comparing rational numbers
• Adding and subtracting rational numbers
• Multiplying and dividing rational numbers

Exponents and powers of 10

• Powers of 10

Properties and mixed operations

• The distributive property
• Order of operations

Percents, ratios, and rates

• Unit rates with fractions
• Simple interest
• Percent change

Proportions and proportional relationships

• Proportions
• Proportional relationships
• Constant of proportionality
• Expressions and equations
• Writing algebraic expressions
• Evaluating expressions
• Equivalent expressions
• Simplifying expressions
• Expanding expressions
• Factoring expressions
• Solving equations
• Multi-step equations
• Independent and dependent variables
• Inequalities on a number line
• Solving inequalities
• Area of triangles
• Area of parallelograms
• Area of rhombuses
• Area of trapezoids
• Parts of a circle
• Area of circles
• Circumference of circles
• Complementary angles
• Supplementary angles
• Adjacent angles
• Vertical angles
• What is surface area?
• Surface area formulas
• Volume formulas
• Volume of rectangular prisms
• Volume of prisms
• Volume of cylinders
• Volume of pyramids
• Cross sections
• Triangle inequality theorem

Statistics and probability

• Mean, median, mode, and range
• Mean absolute deviation
• Box and whisker plots
• Statistical questions
• Probability
• Compound probability