Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 8 Unit 3

Linear Relationships

Lesson 5: Introduction to Linear Relationships

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

Topic

Ratios, Proportions, and Percents

Description

This example demonstrates solving for c in a proportion where a = 9, b = 4, and d = 12. We set up the proportion 9 / 4 = c / 12 and solve for c, resulting in c = 27. This problem shows how to find an unknown value in the numerator of a proportion.

 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

Topic

Ratios, Proportions, and Percents

Description

This example illustrates solving for c in a proportion where a = 8, b = 3, and d is expressed as x + 3. We set up the equation 8 / 3 = c / (x + 3) and solve for c, resulting in the expression c = (8(x + 3)) / 3. This problem demonstrates how to handle algebraic expressions in the denominator of a proportion.

 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

Topic

Ratios, Proportions, and Percents

Description

This example illustrates solving for c in a proportion where a = 8, b = 3, and d is expressed as x + 3. We set up the equation 8 / 3 = c / (x + 3) and solve for c, resulting in the expression c = (8(x + 3)) / 3. This problem demonstrates how to handle algebraic expressions in the denominator of a proportion.

 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

Topic

Ratios, Proportions, and Percents

Description

This example demonstrates solving for d in a proportion where a = 12, b = 5, and c = 48. We set up the proportion 12 / 5 = 48 / d and solve for d, resulting in d = 20. This problem shows how to find an unknown value in the denominator of a proportion when all other values are known.

 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

Topic

Ratios, Proportions, and Percents

Description

This example demonstrates solving for d in a proportion where a = 12, b = 5, and c = 48. We set up the proportion 12 / 5 = 48 / d and solve for d, resulting in d = 20. This problem shows how to find an unknown value in the denominator of a proportion when all other values are known.

 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

Topic

Ratios, Proportions, and Percents

Description

This example illustrates solving for d in a proportion where a = 11, b = 5, and c is expressed as x - 4. We set up the equation 11 / 5 = (x - 4) / d and solve for d, resulting in the expression d = (5(x - 4)) / 11. This problem demonstrates how to handle algebraic expressions in the numerator of a proportion.

 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

Topic

Ratios, Proportions, and Percents

Description

This example illustrates solving for d in a proportion where a = 11, b = 5, and c is expressed as x - 4. We set up the equation 11 / 5 = (x - 4) / d and solve for d, resulting in the expression d = (5(x - 4)) / 11. This problem demonstrates how to handle algebraic expressions in the numerator of a proportion.

 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

Topic

Ratios, Proportions, and Percents

Description

This example demonstrates solving a proportion problem using similar triangles. Two triangles are shown, with one having sides of 3 and 4, and the other having sides of 6 and x. The problem requires finding the length of side x by setting up a proportion based on the similar triangles: 3 / 4 = 6 / x. Solving this equation leads to x = 8.

 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

Topic

Ratios, Proportions, and Percents

Description

This example demonstrates solving a proportion problem using similar triangles. Two triangles are shown, with one having sides of 3 and 4, and the other having sides of 6 and x. The problem requires finding the length of side x by setting up a proportion based on the similar triangles: 3 / 4 = 6 / x. Solving this equation leads to x = 8.

 Proportions
Math Examples Math Example: The Slope As Rise Over Run: Three Examples

In this set of math examples, see how slope is calculated for a staircase based on measures for the rise and the run.

 Slope
Math Examples Math Example: The Slope As Rise Over Run: Three Examples

In this set of math examples, see how slope is calculated for a staircase based on measures for the rise and the run.

 Slope
MATH EXAMPLES--Teacher's Guide: Equations of Parallel and Perpendicular Lines MATH EXAMPLES--Teacher's Guide: Equations of Parallel and Perpendicular Lines MATH EXAMPLES--Teacher's Guide: Equations of Parallel and Perpendicular Lines

This Teacher's Guide provides an overview of the 32 worked-out examples that show how to find the equation of a line parallel or perpendicular to a given line and through a given point.

This is part of a collection of teacher's guides. To see the complete collection of teacher's guides, click on this link. Note: The download is a PDF file.

Related Resources

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 Applications of Linear Functions and Graphs of Linear Functions
MATH EXAMPLES--Teacher's Guide: Equations of Parallel and Perpendicular Lines MATH EXAMPLES--Teacher's Guide: Equations of Parallel and Perpendicular Lines MATH EXAMPLES--Teacher's Guide: Equations of Parallel and Perpendicular Lines

This Teacher's Guide provides an overview of the 32 worked-out examples that show how to find the equation of a line parallel or perpendicular to a given line and through a given point.

This is part of a collection of teacher's guides. To see the complete collection of teacher's guides, click on this link. Note: The download is a PDF file.

Related Resources

To see resources related to this topic click on the Related Resources tab above.

 Applications of Linear Functions and Graphs of Linear Functions
MATH EXAMPLES--Teacher's Guide: Finding the Equation of a Line, Given Two Points MATH EXAMPLES--Teacher's Guide: Finding the Equation of a Line, Given Two Points MATH EXAMPLES--Teacher's Guide: Finding the Equation of a Line, Given Two Points

This Teacher's Guide provides an overview of the 12 worked-out examples that show how to find the equation of a line, given two points.

This is part of a collection of teacher's guides. To see the complete collection of teacher's guides, click on this link. Note: The download is a PDF file.

Related Resources

To see resources related to this topic click on the Related Resources tab above.

 Applications of Linear Functions and Graphs of Linear Functions
MATH EXAMPLES--Teacher's Guide: Finding the Equation of a Line, Given Two Points MATH EXAMPLES--Teacher's Guide: Finding the Equation of a Line, Given Two Points MATH EXAMPLES--Teacher's Guide: Finding the Equation of a Line, Given Two Points

This Teacher's Guide provides an overview of the 12 worked-out examples that show how to find the equation of a line, given two points.

This is part of a collection of teacher's guides. To see the complete collection of teacher's guides, click on this link. Note: The download is a PDF file.

Related Resources

To see resources related to this topic click on the Related Resources tab above.

 Applications of Linear Functions and Graphs of Linear Functions
MATH EXAMPLES--Teacher's Guide: Graphs of Linear Functions in Slope-Intercept Form MATH EXAMPLES--Teacher's Guide: Graphs of Linear Functions in Slope-Intercept Form MATH EXAMPLES--Teacher's Guide: Graphs of Linear Functions in Slope-Intercept Form

This Teacher's Guide provides an overview of the 13 worked-out examples that show how to graph a linear function, given the slope and y-intercept.

This is part of a collection of teacher's guides. To see the complete collection of teacher's guides, click on this link. Note: The download is a PDF file.

Related Resources

To see resources related to this topic click on the Related Resources tab above.

 Applications of Linear Functions and Graphs of Linear Functions
MATH EXAMPLES--Teacher's Guide: The Midpoint Formula MATH EXAMPLES--Teacher's Guide: The Midpoint Formula MATH EXAMPLES--Teacher's Guide: The Midpoint Formula

This Teacher's Guide provides an overview of the 20 worked-out examples that show how to use the Midpont Formula.

This is part of a collection of teacher's guides. To see the complete collection of teacher's guides, click on this link. Note: The download is a PDF file.

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 Midpoint Formula
MATH EXAMPLES--Teacher's Guide: The Point Slope Form MATH EXAMPLES--Teacher's Guide: The Point Slope Form MATH EXAMPLES--Teacher's Guide: The Point Slope Form

This Teacher's Guide provides an overview of the 8 worked-out examples that show how to find the equation of a lineusing the Point Slope Form.

This is part of a collection of teacher's guides. To see the complete collection of teacher's guides, click on this link. Note: The download is a PDF file.

Related Resources

To see resources related to this topic click on the Related Resources tab above.

 Applications of Linear Functions and Graphs of Linear Functions
MATH EXAMPLES--Teacher's Guide: The Slope Formula MATH EXAMPLES--Teacher's Guide: The Slope Formula MATH EXAMPLES--Teacher's Guide: The Slope Formula

This Teacher's Guide provides an overview of the 21 worked-out examples that show how to use the Slope Formula.

This is part of a collection of teacher's guides. To see the complete collection of teacher's guides, click on this link. Note: The download is a PDF file.

Related Resources

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 Applications of Linear Functions and Slope
MATH EXAMPLES--The Slope Formula MATH EXAMPLES--The Slope Formula MATH EXAMPLES--The Slope Formula

The complete set of 21 examples that make up this set of tutorials. NOTE: The download is a PPT file.

 Applications of Linear Functions and Slope
Math in the News: Issue 58--Unemployment Math in the News: Issue 58--Unemployment Math in the News: Issue 58--Unemployment

May 2012. In this issue of Math in the News we look at unemployment statistics and compare the U3 and U6 stats.

This is part of the Math in the News collection. To see the complete collection, click on this link. Note: The download is a PPT file.

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 Data Analysis
Math in the News: Issue 58--Unemployment Math in the News: Issue 58--Unemployment Math in the News: Issue 58--Unemployment

May 2012. In this issue of Math in the News we look at unemployment statistics and compare the U3 and U6 stats.

This is part of the Math in the News collection. To see the complete collection, click on this link. Note: The download is a PPT file.

Related Resources

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 Data Analysis
Math in the News: Issue 58--Unemployment Math in the News: Issue 58--Unemployment Math in the News: Issue 58--Unemployment

May 2012. In this issue of Math in the News we look at unemployment statistics and compare the U3 and U6 stats.

This is part of the Math in the News collection. To see the complete collection, click on this link. Note: The download is a PPT file.

Related Resources

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 Data Analysis
Math in the News: Issue 58--Unemployment Math in the News: Issue 58--Unemployment Math in the News: Issue 58--Unemployment

May 2012. In this issue of Math in the News we look at unemployment statistics and compare the U3 and U6 stats.

This is part of the Math in the News collection. To see the complete collection, click on this link. Note: The download is a PPT file.

Related Resources

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 Data Analysis
Math in the News: Issue 76--Back to the Moon! Math in the News: Issue 76--Back to the Moon! Math in the News: Issue 76--Back to the Moon!

September 2013. In this issue we look at NASA's newest Moon mission, the LADEE robotic probe. It becomes an opportunity to explore linear and logarithmic equations used in rocketry.

This is part of the Math in the News collection. To see the complete collection, click on this link. Note: The download is a PPT file.

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 Applications of Exponential and Logarithmic Functions and Applications of Linear Functions
Math in the News: Issue 76--Back to the Moon! Math in the News: Issue 76--Back to the Moon! Math in the News: Issue 76--Back to the Moon!

September 2013. In this issue we look at NASA's newest Moon mission, the LADEE robotic probe. It becomes an opportunity to explore linear and logarithmic equations used in rocketry.

This is part of the Math in the News collection. To see the complete collection, click on this link. Note: The download is a PPT file.

Related Resources

To see resources related to this topic click on the Related Resources tab above.

 Applications of Exponential and Logarithmic Functions and Applications of Linear Functions
Paper-and-Pencil Quiz: Equation of a Line Given Two Points (Easy) Paper-and-Pencil Quiz: Equation of a Line Given Two Points (Easy) Paper-and-Pencil Quiz: Equation of a Line Given Two Points (Easy)

This is part of a collection of math quizzes on the topic of finding the Equation of a Line Given Two Points.

To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).

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Quiz Library

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ary">click on this link.

 Point-Slope Form and Slope-Intercept Form
Paper-and-Pencil Quiz: Equation of a Line Given Two Points (Easy) Paper-and-Pencil Quiz: Equation of a Line Given Two Points (Easy) Paper-and-Pencil Quiz: Equation of a Line Given Two Points (Easy)

This is part of a collection of math quizzes on the topic of finding the Equation of a Line Given Two Points.

To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).

Related Resources

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Quiz Library

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ary">click on this link.

 Point-Slope Form and Slope-Intercept Form
Paper-and-Pencil Quiz: Equation of a Line Given Two Points (Easy) Paper-and-Pencil Quiz: Equation of a Line Given Two Points (Easy) Paper-and-Pencil Quiz: Equation of a Line Given Two Points (Easy)

This is part of a collection of math quizzes on the topic of finding the Equation of a Line Given Two Points.

To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).

Related Resources

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Quiz Library

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ary">click on this link.

 Point-Slope Form and Slope-Intercept Form
Paper-and-Pencil Quiz: Equation of a Line Given Two Points (Easy) Paper-and-Pencil Quiz: Equation of a Line Given Two Points (Easy) Paper-and-Pencil Quiz: Equation of a Line Given Two Points (Easy)

This is part of a collection of math quizzes on the topic of finding the Equation of a Line Given Two Points.

To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).

Related Resources

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Quiz Library

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ary">click on this link.

 Point-Slope Form and Slope-Intercept Form
Paper-and-Pencil Quiz: Equation of a Line Given Two Points (Easy) Paper-and-Pencil Quiz: Equation of a Line Given Two Points (Easy) Paper-and-Pencil Quiz: Equation of a Line Given Two Points (Easy)

This is part of a collection of math quizzes on the topic of finding the Equation of a Line Given Two Points.

To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).

Related Resources

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Quiz Library

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ary">click on this link.

 Point-Slope Form and Slope-Intercept Form
Paper-and-Pencil Quiz: Equation of a Line Given Two Points (Hard) Paper-and-Pencil Quiz: Equation of a Line Given Two Points (Hard) Paper-and-Pencil Quiz: Equation of a Line Given Two Points (Hard)

This is part of a collection of math quizzes on the topic of finding the Equation of a Line Given Two Points.

To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).

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Quiz Library

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ary">click on this link.

 Point-Slope Form and Slope-Intercept Form
Paper-and-Pencil Quiz: Equation of a Line Given Two Points (Hard) Paper-and-Pencil Quiz: Equation of a Line Given Two Points (Hard) Paper-and-Pencil Quiz: Equation of a Line Given Two Points (Hard)

This is part of a collection of math quizzes on the topic of finding the Equation of a Line Given Two Points.

To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).

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Quiz Library

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ary">click on this link.

 Point-Slope Form and Slope-Intercept Form
Paper-and-Pencil Quiz: Equation of a Line Given Two Points (Hard) Paper-and-Pencil Quiz: Equation of a Line Given Two Points (Hard) Paper-and-Pencil Quiz: Equation of a Line Given Two Points (Hard)

This is part of a collection of math quizzes on the topic of finding the Equation of a Line Given Two Points.

To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).

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Quiz Library

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ary">click on this link.

 Point-Slope Form and Slope-Intercept Form
Paper-and-Pencil Quiz: Equation of a Line Given Two Points (Hard) Paper-and-Pencil Quiz: Equation of a Line Given Two Points (Hard) Paper-and-Pencil Quiz: Equation of a Line Given Two Points (Hard)

This is part of a collection of math quizzes on the topic of finding the Equation of a Line Given Two Points.

To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).

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Quiz Library

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ary">click on this link.

 Point-Slope Form and Slope-Intercept Form
Paper-and-Pencil Quiz: Equation of a Line Given Two Points (Hard) Paper-and-Pencil Quiz: Equation of a Line Given Two Points (Hard) Paper-and-Pencil Quiz: Equation of a Line Given Two Points (Hard)

This is part of a collection of math quizzes on the topic of finding the Equation of a Line Given Two Points.

To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).

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Quiz Library

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ary">click on this link.

 Point-Slope Form and Slope-Intercept Form
Paper-and-Pencil Quiz: Equation of a Line Given Two Points (Medium) Paper-and-Pencil Quiz: Equation of a Line Given Two Points (Medium) Paper-and-Pencil Quiz: Equation of a Line Given Two Points (Medium)

This is part of a collection of math quizzes on the topic of finding the Equation of a Line Given Two Points.

To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).

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Quiz Library

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ary">click on this link.

 Point-Slope Form and Slope-Intercept Form
Paper-and-Pencil Quiz: Equation of a Line Given Two Points (Medium) Paper-and-Pencil Quiz: Equation of a Line Given Two Points (Medium) Paper-and-Pencil Quiz: Equation of a Line Given Two Points (Medium)

This is part of a collection of math quizzes on the topic of finding the Equation of a Line Given Two Points.

To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).

Related Resources

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Quiz Library

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ary">click on this link.

 Point-Slope Form and Slope-Intercept Form
Paper-and-Pencil Quiz: Equation of a Line Given Two Points (Medium) Paper-and-Pencil Quiz: Equation of a Line Given Two Points (Medium) Paper-and-Pencil Quiz: Equation of a Line Given Two Points (Medium)

This is part of a collection of math quizzes on the topic of finding the Equation of a Line Given Two Points.

To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).

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Quiz Library

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ary">click on this link.

 Point-Slope Form and Slope-Intercept Form
Paper-and-Pencil Quiz: Equation of a Line Given Two Points (Medium) Paper-and-Pencil Quiz: Equation of a Line Given Two Points (Medium) Paper-and-Pencil Quiz: Equation of a Line Given Two Points (Medium)

This is part of a collection of math quizzes on the topic of finding the Equation of a Line Given Two Points.

To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).

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Quiz Library

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ary">click on this link.

 Point-Slope Form and Slope-Intercept Form
Paper-and-Pencil Quiz: Equation of a Line Given Two Points (Medium) Paper-and-Pencil Quiz: Equation of a Line Given Two Points (Medium) Paper-and-Pencil Quiz: Equation of a Line Given Two Points (Medium)

This is part of a collection of math quizzes on the topic of finding the Equation of a Line Given Two Points.

To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).

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ary">click on this link.

 Point-Slope Form and Slope-Intercept Form
Paper-and-Pencil Quiz: Linear Equations Given m and b (Easy) Paper-and-Pencil Quiz: Linear Equations Given m and b (Easy) Paper-and-Pencil Quiz: Linear Equations Given m and b (Easy)

This is part of a collection of math quizzes on the topic of Linear Equations.

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 Slope-Intercept Form
Paper-and-Pencil Quiz: Linear Equations Given m and b (Easy) Paper-and-Pencil Quiz: Linear Equations Given m and b (Easy) Paper-and-Pencil Quiz: Linear Equations Given m and b (Easy)

This is part of a collection of math quizzes on the topic of Linear Equations.

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ary">click on this link.

 Slope-Intercept Form
Paper-and-Pencil Quiz: Linear Equations Given m and b (Easy) Paper-and-Pencil Quiz: Linear Equations Given m and b (Easy) Paper-and-Pencil Quiz: Linear Equations Given m and b (Easy)

This is part of a collection of math quizzes on the topic of Linear Equations.

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ary">click on this link.

 Slope-Intercept Form
Paper-and-Pencil Quiz: Linear Equations Given m and b (Hard) Paper-and-Pencil Quiz: Linear Equations Given m and b (Hard) Paper-and-Pencil Quiz: Linear Equations Given m and b (Hard)

This is part of a collection of math quizzes on the topic of Linear Equations.

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ary">click on this link.

 Slope-Intercept Form
Paper-and-Pencil Quiz: Linear Equations Given m and b (Hard) Paper-and-Pencil Quiz: Linear Equations Given m and b (Hard) Paper-and-Pencil Quiz: Linear Equations Given m and b (Hard)

This is part of a collection of math quizzes on the topic of Linear Equations.

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Quiz Library

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ary">click on this link.

 Slope-Intercept Form
Paper-and-Pencil Quiz: Linear Equations Given m and b (Hard) Paper-and-Pencil Quiz: Linear Equations Given m and b (Hard) Paper-and-Pencil Quiz: Linear Equations Given m and b (Hard)

This is part of a collection of math quizzes on the topic of Linear Equations.

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Quiz Library

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ary">click on this link.

 Slope-Intercept Form
Paper-and-Pencil Quiz: Linear Equations Given m and b (Medium) Paper-and-Pencil Quiz: Linear Equations Given m and b (Medium) Paper-and-Pencil Quiz: Linear Equations Given m and b (Medium)

This is part of a collection of math quizzes on the topic of Linear Equations.

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Quiz Library

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ary">click on this link.

 Slope-Intercept Form
Paper-and-Pencil Quiz: Linear Equations Given m and b (Medium) Paper-and-Pencil Quiz: Linear Equations Given m and b (Medium) Paper-and-Pencil Quiz: Linear Equations Given m and b (Medium)

This is part of a collection of math quizzes on the topic of Linear Equations.

To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).

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Quiz Library

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ary">click on this link.

 Slope-Intercept Form
Paper-and-Pencil Quiz: Linear Equations Given m and b (Medium) Paper-and-Pencil Quiz: Linear Equations Given m and b (Medium) Paper-and-Pencil Quiz: Linear Equations Given m and b (Medium)

This is part of a collection of math quizzes on the topic of Linear Equations.

To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).

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ary">click on this link.

 Slope-Intercept Form