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Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 7 Unit 7

Expressions, Equations, and Inequalities

Lesson 12: Solving Problems about Percent Increase or Decrease

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Topic
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 12 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 12 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 12

This is part of a collection of math examples that focus on ratios, proportions, and percents.

Proportions
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 13 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 13 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 13

This is part of a collection of math examples that focus on ratios, proportions, and percents.

Proportions
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 14 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 14 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 14

This is part of a collection of math examples that focus on ratios, proportions, and percents.

Proportions
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 15 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 15 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 15

This is part of a collection of math examples that focus on ratios, proportions, and percents.

Proportions
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 16 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 16 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 16

This is part of a collection of math examples that focus on ratios, proportions, and percents.

Proportions
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 17 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 17 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 17

This is part of a collection of math examples that focus on ratios, proportions, and percents.

Proportions
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 18 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 18 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 18

This is part of a collection of math examples that focus on ratios, proportions, and percents.

Proportions
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 19 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 19 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 19

This is part of a collection of math examples that focus on ratios, proportions, and percents.

Proportions
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 2 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 2 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 2

This is part of a collection of math examples that focus on ratios, proportions, and percents.

Proportions
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 20 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 20 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 20

This is part of a collection of math examples that focus on ratios, proportions, and percents.

Proportions
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 21 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 21 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 21

This is part of a collection of math examples that focus on ratios, proportions, and percents.

Proportions
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 22 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 22 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 22

This is part of a collection of math examples that focus on ratios, proportions, and percents.

Proportions
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 23 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 23 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 23

This is part of a collection of math examples that focus on ratios, proportions, and percents.

Proportions
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 24 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 24 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 24

This is part of a collection of math examples that focus on ratios, proportions, and percents.

Proportions
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 25 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 25 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 25

This is part of a collection of math examples that focus on ratios, proportions, and percents.

Proportions
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 26 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 26 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 26

This is part of a collection of math examples that focus on ratios, proportions, and percents.

Proportions
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 27 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 27 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 27

This is part of a collection of math examples that focus on ratios, proportions, and percents.

Proportions
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 28 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 28 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 28

This is part of a collection of math examples that focus on ratios, proportions, and percents.

Proportions
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 29 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 29 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 29

This is part of a collection of math examples that focus on ratios, proportions, and percents.

Proportions
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 3 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 3 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 3

This is part of a collection of math examples that focus on ratios, proportions, and percents.

Proportions
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 30 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 30 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 30

This is part of a collection of math examples that focus on ratios, proportions, and percents.

Proportions
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 31 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 31 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 31

This is part of a collection of math examples that focus on ratios, proportions, and percents.

Proportions
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 32 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 32 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 32

This is part of a collection of math examples that focus on ratios, proportions, and percents.

Proportions
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 33 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 33 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 33

This is part of a collection of math examples that focus on ratios, proportions, and percents.

Proportions
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 34 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 34 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 34

This is part of a collection of math examples that focus on ratios, proportions, and percents.

Proportions
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 35 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 35 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 35

This is part of a collection of math examples that focus on ratios, proportions, and percents.

Proportions
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 36 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 36 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 36

This is part of a collection of math examples that focus on ratios, proportions, and percents.

Proportions
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 37 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 37 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 37

This is part of a collection of math examples that focus on ratios, proportions, and percents.

Proportions
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 38 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 38 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 38

This is part of a collection of math examples that focus on ratios, proportions, and percents.

Proportions
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 39 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 39 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 39

This is part of a collection of math examples that focus on ratios, proportions, and percents.

Proportions
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 4 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 4 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 4

This is part of a collection of math examples that focus on ratios, proportions, and percents.

Proportions
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 40 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 40 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 40

This is part of a collection of math examples that focus on ratios, proportions, and percents.

Proportions
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 5 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 5 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 5

This is part of a collection of math examples that focus on ratios, proportions, and percents.

Proportions
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 6 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 6 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 6

This is part of a collection of math examples that focus on ratios, proportions, and percents.

Proportions
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 7 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 7 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 7

This is part of a collection of math examples that focus on ratios, proportions, and percents.

Proportions
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 8 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 8 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 8

This is part of a collection of math examples that focus on ratios, proportions, and percents.

Proportions
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 9 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 9 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 9

This is part of a collection of math examples that focus on ratios, proportions, and percents.

Proportions
Math Example--Solving Equations--One-Variable Equations: Example 1 Math Example--Solving Equations--One-Variable Equations: Example 1 One-Variable Equations: Example 1

Topic

Equations

Solving Multistep Equations, Solving One-Step Equations and Solving Two-Step Equations
Math Example--Solving Equations--One-Variable Equations: Example 10 Math Example--Solving Equations--One-Variable Equations: Example 10 One-Variable Equations: Example 10

Topic

Equations

Description

This example involves solving a one-variable equation that may include complex terms or require multiple steps to simplify. The equation might involve fractions, decimals, or variables on both sides. Solving it involves using inverse operations, distributing terms, and combining like terms to isolate the variable. This type of problem helps students refine their algebraic skills and understand the importance of systematic problem-solving. Checking the solution by substituting it back into the original equation is a crucial step to ensure accuracy.

Solving Multistep Equations, Solving One-Step Equations and Solving Two-Step Equations
Math Example--Solving Equations--One-Variable Equations: Example 11 Math Example--Solving Equations--One-Variable Equations: Example 11 One-Variable Equations: Example 11

Topic

Equations

Solving Multistep Equations, Solving One-Step Equations and Solving Two-Step Equations
Math Example--Solving Equations--One-Variable Equations: Example 12 Math Example--Solving Equations--One-Variable Equations: Example 12 One-Variable Equations: Example 12

Topic

Equations

Description

This example presents a one-variable equation that may involve variables on both sides. The solving process requires moving all terms involving the variable to one side and constants to the other. This often involves using the distributive property and combining like terms. The goal is to isolate the variable and solve for its value. This type of problem helps students develop their algebraic manipulation skills and understand the importance of maintaining balance in an equation. Checking the solution by substituting it back into the original equation is crucial to ensure accuracy.

Solving Multistep Equations, Solving One-Step Equations and Solving Two-Step Equations
Math Example--Solving Equations--One-Variable Equations: Example 13 Math Example--Solving Equations--One-Variable Equations: Example 13 One-Variable Equations: Example 13

Topic

Equations

Description

This example involves solving a one-variable equation that might include complex expressions, such as those with parentheses or multiple terms. The solving process may require using the distributive property to eliminate parentheses and combining like terms to simplify the equation. After simplification, standard techniques are used to isolate the variable. This example reinforces the importance of following the order of operations and checking the solution for accuracy. Mastery of these skills is essential for tackling more advanced algebraic problems.

Solving Multistep Equations, Solving One-Step Equations and Solving Two-Step Equations
Math Example--Solving Equations--One-Variable Equations: Example 14 Math Example--Solving Equations--One-Variable Equations: Example 14 One-Variable Equations: Example 14

Topic

Equations

Description

This example deals with solving a one-variable equation that may involve more complex algebraic expressions, such as nested parentheses or fractional coefficients. The solving process requires careful application of the distributive property and combining like terms. After simplifying the equation, inverse operations are used to isolate the variable. This example highlights the importance of precision in algebraic manipulation and the necessity of verifying solutions by substituting them back into the original equation to ensure correctness.

Solving Multistep Equations, Solving One-Step Equations and Solving Two-Step Equations
Math Example--Solving Equations--One-Variable Equations: Example 15 Math Example--Solving Equations--One-Variable Equations: Example 15 One-Variable Equations: Example 15

Topic

Equations

Description

This example involves solving a one-variable equation that may include complex terms or require multiple steps to simplify. The equation might involve fractions, decimals, or variables on both sides. Solving it involves using inverse operations, distributing terms, and combining like terms to isolate the variable. This type of problem helps students refine their algebraic skills and understand the importance of systematic problem-solving. Checking the solution by substituting it back into the original equation is a crucial step to ensure accuracy.

Solving Multistep Equations, Solving One-Step Equations and Solving Two-Step Equations
Math Example--Solving Equations--One-Variable Equations: Example 16 Math Example--Solving Equations--One-Variable Equations: Example 16 One-Variable Equations: Example 16

Topic

Equations

Solving Multistep Equations, Solving One-Step Equations and Solving Two-Step Equations
Math Example--Solving Equations--One-Variable Equations: Example 17 Math Example--Solving Equations--One-Variable Equations: Example 17 One-Variable Equations: Example 17

Topic

Equations

Description

This example presents a one-variable equation that may involve variables on both sides. The solving process requires moving all terms involving the variable to one side and constants to the other. This often involves using the distributive property and combining like terms. The goal is to isolate the variable and solve for its value. This type of problem helps students develop their algebraic manipulation skills and understand the importance of maintaining balance in an equation. Checking the solution by substituting it back into the original equation is crucial to ensure accuracy.

Solving Multistep Equations, Solving One-Step Equations and Solving Two-Step Equations
Math Example--Solving Equations--One-Variable Equations: Example 18 Math Example--Solving Equations--One-Variable Equations: Example 18 One-Variable Equations: Example 18

Topic

Equations

Description

This example involves solving a one-variable equation that might include complex expressions, such as those with parentheses or multiple terms. The solving process may require using the distributive property to eliminate parentheses and combining like terms to simplify the equation. After simplification, standard techniques are used to isolate the variable. This example reinforces the importance of following the order of operations and checking the solution for accuracy. Mastery of these skills is essential for tackling more advanced algebraic problems.

Solving Multistep Equations, Solving One-Step Equations and Solving Two-Step Equations
Math Example--Solving Equations--One-Variable Equations: Example 19 Math Example--Solving Equations--One-Variable Equations: Example 19 One-Variable Equations: Example 19

Topic

Equations

Description

This example deals with solving a one-variable equation that may involve more complex algebraic expressions, such as nested parentheses or fractional coefficients. The solving process requires careful application of the distributive property and combining like terms. After simplifying the equation, inverse operations are used to isolate the variable. This example highlights the importance of precision in algebraic manipulation and the necessity of verifying solutions by substituting them back into the original equation to ensure correctness.

Solving Multistep Equations, Solving One-Step Equations and Solving Two-Step Equations
Math Example--Solving Equations--One-Variable Equations: Example 2 Math Example--Solving Equations--One-Variable Equations: Example 2 One-Variable Equations: Example 2

Topic

Equations

Solving Multistep Equations, Solving One-Step Equations and Solving Two-Step Equations
Math Example--Solving Equations--One-Variable Equations: Example 20 Math Example--Solving Equations--One-Variable Equations: Example 20 One-Variable Equations: Example 20

Topic

Equations

Description

This example involves solving a one-variable equation that may include complex terms or require multiple steps to simplify. The equation might involve fractions, decimals, or variables on both sides. Solving it involves using inverse operations, distributing terms, and combining like terms to isolate the variable. This type of problem helps students refine their algebraic skills and understand the importance of systematic problem-solving. Checking the solution by substituting it back into the original equation is a crucial step to ensure accuracy.

Solving Multistep Equations, Solving One-Step Equations and Solving Two-Step Equations