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In this module you will review linear equations and linear inequalities

Module 2

Use the Classkick practice test as your knowledge check. Complete the pages listed after each skill.

1. Write, solve, and/or graph linear equations using various methods
2. Write, solve, and/or graph systems of linear equations using various methods
3. Write, solve, and/or graph linear inequalities using various methods
4. Write, solve, and/or graph systems of linear inequalities using various methods

In this lesson you will

Lesson 1 - Linear Equations Word Problems

You Try!

Jeff was hiking up a hill at a rate of 30 feet per minute, when he started calculating his rate he had already climbed 60 feet.

Pages 24, 25, 28 & 73 - 74

Classkick Pages to Complete

Solving Equations

Lesson 2 - Linear Equations

Expressions Word Problems

You Try!

Leila planted 30 flowers in one of her gardens and x more flowers in her other garden. Write an expression to determine the number of flower in total. Then, find how many flowers there are if she planted 22 in the second garden.

Solve for x

Page 26

Classkick Pages to Complete

##### Slope is the steepness of a line, which is denoted as "m"Slope formula:y2 - y1x2 - x1

There are three forms of linear functions:Slope-intercept form: y = mx + bPoint-slope form: y - y1 = m(x - x1)Standard form: Ax + By = C

Lesson 3 - Linear Functions

Writing a Linear Function

Page 27, 52 - 57 & 79 - 80

Classkick Pages to Complete

Any of the three methods can be used to solve a system of linear equations.The solution is written as (x, y), which represents the point where the two lines intersect. It is the only point they have in common.

Systems of linear equations have three methods to solving:1. Substitution Method2. Graphing Method3. Elimination Method

Lesson 4 - Systems of Linear Equations

Elimination Method

Graphing Method

Substituion Method

y = −3x + 4 y = 3x − 2

−7x + 4y = 24 4x − 4y = 0

You Try!

Pages 29 - 31

Classkick Pages to Complete

*The commonly used words do not encompass all words you may encounter

Lesson 5 - Graphing Linear Inequalities on a Number Line

##### -4 -3 -2 -1 0 1 2 3 4

Graphing Linear Inequalities on a Number Line

OR Compound Inequalities

Graphing Linear Inequalities on a Number Line

AND Compound Inequalities

##### -4 -3 -2 -1 0 1 2 3 4

You Try!

Pages 32 - 34 & 75 - 76

Classkick Pages to Complete

Lesson 6 - Inequality Word Problems

Pages 35 - 36 & 40 - 41

Classkick Pages to Complete

##### < and > create dotted lines because the ordered pairs on the line are not included.≤ and ≥ create solid lines because the ordered pairs on the line are included

Linear Inequalities graph similarly to Linear Function, but the inequality symbol determines the line is solid or dotted.Example:y < 3x + 4m = 3 and the y-intercept is (0,4)The line would be dotted

Lesson 7 - Systmems of Linear Inequalities

##### y > 2x + 1y ≤ -x - 6

Systems of Linear Inequalities

Pages 37 - 39

Classkick Pages to Complete

Vocabulary Sheet

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Guided Notes

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Vocabulary Sheet

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Vocabulary Sheet

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Vocabulary Sheet

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