IXL Ad

Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 7 Unit 7

Expressions, Equations, and Inequalities

Lesson 6: Distinguishing between Two Types of Situations

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Topic
Math Clip Art--Rates and Tape Diagrams: Cooking 1 Math Clip Art--Rates and Tape Diagrams: Cooking 1 Math Clip Art--Rates and Tape Diagrams: Cooking 1

This is a collection of clip art images that show how to use tape diagrams to solve ratio and rate problems.

Ratios and Rates
Math Clip Art--Rates and Tape Diagrams: Cooking 10 Math Clip Art--Rates and Tape Diagrams: Cooking 10 Math Clip Art--Rates and Tape Diagrams: Cooking 10

This is a collection of clip art images that show how to use tape diagrams to solve ratio and rate problems.

Ratios and Rates
Math Clip Art--Rates and Tape Diagrams: Cooking 11 Math Clip Art--Rates and Tape Diagrams: Cooking 11 Math Clip Art--Rates and Tape Diagrams: Cooking 11

This is a collection of clip art images that show how to use tape diagrams to solve ratio and rate problems.

Ratios and Rates
Math Clip Art--Rates and Tape Diagrams: Cooking 2 Math Clip Art--Rates and Tape Diagrams: Cooking 2 Math Clip Art--Rates and Tape Diagrams: Cooking 2

This is a collection of clip art images that show how to use tape diagrams to solve ratio and rate problems.

Ratios and Rates
Math Clip Art--Rates and Tape Diagrams: Cooking 3 Math Clip Art--Rates and Tape Diagrams: Cooking 3 Math Clip Art--Rates and Tape Diagrams: Cooking 3

This is a collection of clip art images that show how to use tape diagrams to solve ratio and rate problems.

Ratios and Rates
Math Clip Art--Rates and Tape Diagrams: Cooking 4 Math Clip Art--Rates and Tape Diagrams: Cooking 4 Math Clip Art--Rates and Tape Diagrams: Cooking 4

This is a collection of clip art images that show how to use tape diagrams to solve ratio and rate problems.

Ratios and Rates
Math Clip Art--Rates and Tape Diagrams: Cooking 5 Math Clip Art--Rates and Tape Diagrams: Cooking 5 Math Clip Art--Rates and Tape Diagrams: Cooking 5

This is a collection of clip art images that show how to use tape diagrams to solve ratio and rate problems.

Ratios and Rates
Math Clip Art--Rates and Tape Diagrams: Cooking 6 Math Clip Art--Rates and Tape Diagrams: Cooking 6 Math Clip Art--Rates and Tape Diagrams: Cooking 6

This is a collection of clip art images that show how to use tape diagrams to solve ratio and rate problems.

Ratios and Rates
Math Clip Art--Rates and Tape Diagrams: Cooking 7 Math Clip Art--Rates and Tape Diagrams: Cooking 7 Math Clip Art--Rates and Tape Diagrams: Cooking 7

This is a collection of clip art images that show how to use tape diagrams to solve ratio and rate problems.

Ratios and Rates
Math Clip Art--Rates and Tape Diagrams: Cooking 8 Math Clip Art--Rates and Tape Diagrams: Cooking 8 Math Clip Art--Rates and Tape Diagrams: Cooking 8

This is a collection of clip art images that show how to use tape diagrams to solve ratio and rate problems.

Ratios and Rates
Math Clip Art--Rates and Tape Diagrams: Cooking 9 Math Clip Art--Rates and Tape Diagrams: Cooking 9 Math Clip Art--Rates and Tape Diagrams: Cooking 9

This is a collection of clip art images that show how to use tape diagrams to solve ratio and rate problems.

Ratios and Rates
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
Math Example--Solving Equations--One-Variable Equations: Example 21 Math Example--Solving Equations--One-Variable Equations: Example 21 One-Variable Equations: Example 21

Topic

Equations

Solving Multistep Equations, Solving One-Step Equations and Solving Two-Step Equations
Math Example--Solving Equations--One-Variable Equations: Example 22 Math Example--Solving Equations--One-Variable Equations: Example 22 One-Variable Equations: Example 22

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 23 Math Example--Solving Equations--One-Variable Equations: Example 23 One-Variable Equations: Example 23

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 24 Math Example--Solving Equations--One-Variable Equations: Example 24 One-Variable Equations: Example 24

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 25 Math Example--Solving Equations--One-Variable Equations: Example 25 One-Variable Equations: Example 25

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 26 Math Example--Solving Equations--One-Variable Equations: Example 26 One-Variable Equations: Example 26

Topic

Equations

Solving Multistep Equations, Solving One-Step Equations and Solving Two-Step Equations
Math Example--Solving Equations--One-Variable Equations: Example 27 Math Example--Solving Equations--One-Variable Equations: Example 27 One-Variable Equations: Example 27

Topic

Equations

Solving Multistep Equations, Solving One-Step Equations and Solving Two-Step Equations
Math Example--Solving Equations--One-Variable Equations: Example 3 Math Example--Solving Equations--One-Variable Equations: Example 3 One-Variable Equations: Example 3

Topic

Equations

Solving Multistep Equations, Solving One-Step Equations and Solving Two-Step Equations
Math Example--Solving Equations--One-Variable Equations: Example 4 Math Example--Solving Equations--One-Variable Equations: Example 4 One-Variable Equations: Example 4

Topic

Equations

Description

This example likely demonstrates solving a more complex one-variable equation. It may involve multiple steps, such as combining like terms, using the distributive property, or dealing with fractions or decimals. The solving process typically includes isolating the variable on one side of the equation by performing inverse operations on both sides. This type of problem enhances students' algebraic manipulation skills and prepares them for more advanced equation solving. The specific solution would involve carefully following the order of operations and checking the final answer by substituting it back into the original equation.

Solving Multistep Equations, Solving One-Step Equations and Solving Two-Step Equations
Math Example--Solving Equations--One-Variable Equations: Example 5 Math Example--Solving Equations--One-Variable Equations: Example 5 One-Variable Equations: Example 5

Topic

Equations

Description

This example likely showcases a more challenging one-variable equation. It may involve variables on both sides of the equation, requiring students to consolidate like terms before solving. The problem might also include parentheses, necessitating the use of the distributive property. Solving this equation would involve carefully balancing operations on both sides, possibly dealing with negative numbers or fractions. This type of problem helps students develop their algebraic reasoning skills and reinforces the importance of maintaining equation balance throughout the solving process.

Solving Multistep Equations, Solving One-Step Equations and Solving Two-Step Equations
Math Example--Solving Equations--One-Variable Equations: Example 6 Math Example--Solving Equations--One-Variable Equations: Example 6 One-Variable Equations: Example 6

Topic

Equations

Solving Multistep Equations, Solving One-Step Equations and Solving Two-Step Equations
Math Example--Solving Equations--One-Variable Equations: Example 7 Math Example--Solving Equations--One-Variable Equations: Example 7 One-Variable Equations: Example 7

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 8 Math Example--Solving Equations--One-Variable Equations: Example 8 One-Variable Equations: Example 8

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 9 Math Example--Solving Equations--One-Variable Equations: Example 9 One-Variable Equations: Example 9

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--Solving Equations with Angle Measures 2--Example 1 Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 1 Solving Equations with Angle Measures 2--Example 1

Topic

Equations

Solving Multistep Equations and Applications of Quadrilaterals
Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 10 Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 10 Solving Equations with Angle Measures 2--Example 10

Topic

Equations

Solving Multistep Equations and Applications of Quadrilaterals
Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 2 Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 2 Solving Equations with Angle Measures 2--Example 2

Topic

Equations

Solving Multistep Equations and Applications of Quadrilaterals
Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 3 Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 3 Solving Equations with Angle Measures 2--Example 3

Topic

Equations

Solving Multistep Equations and Applications of Quadrilaterals
Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 4 Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 4 Solving Equations with Angle Measures 2--Example 4

Topic

Equations

Solving Multistep Equations and Applications of Quadrilaterals
Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 5 Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 5 Solving Equations with Angle Measures 2--Example 5

Topic

Equations

Solving Multistep Equations and Applications of Quadrilaterals
Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 6 Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 6 Solving Equations with Angle Measures 2--Example 6

Topic

Equations

Solving Multistep Equations and Applications of Quadrilaterals
Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 7 Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 7 Solving Equations with Angle Measures 2--Example 7

Topic

Equations

Description

This example demonstrates solving equations involving angle measures in a kite. A kite has two pairs of adjacent congruent angles. In this case, we have angles represented as (x+50)°, (x+50)°, (y+20)°, and y°. To solve this problem, we apply two key principles: the sum of angles in a quadrilateral is 360°, and the sum of the angles of a triangle is 180°. You can use the triangle equation to solve for y. Once you determine the value for y, you can use that to find x using either the triangle or the quadrilateral equation. In the solution shown, the triangle equation is used. 

Solving Multistep Equations and Applications of Quadrilaterals
Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 8 Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 8 Solving Equations with Angle Measures 2--Example 8

Topic

Equations

Description

This example illustrates solving equations involving angle measures in a kite. The kite has two known angles of 70° and 40°, and two unknown angles represented as (x+y)°. To solve this problem, we look at the triangles formed by one of the diagonals of the kite and use the triangle equation. First solve for x with the top triangle. Once you find x, use that value to solve for y in the bottom triangle. You could also use the quadrilateral equation to solve for y.

Solving Multistep Equations and Applications of Quadrilaterals
Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 9 Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 9 Solving Equations with Angle Measures 2--Example 9

Topic

Equations

Solving Multistep Equations and Applications of Quadrilaterals
Math Example--Solving Equations--Solving Equations with Angle Measures--Example 1 Math Example--Solving Equations--Solving Equations with Angle Measures--Example 1 Solving Equations with Angle Measures--Example 1

Topic

Equations

Solving Multistep Equations and Applications of Angles and Planes
Math Example--Solving Equations--Solving Equations with Angle Measures--Example 10 Math Example--Solving Equations--Solving Equations with Angle Measures--Example 10 Solving Equations with Angle Measures--Example 10

Topic

Equations

Solving Multistep Equations and Applications of Angles and Planes