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Canvas Module 2 Algebra Keystone Prep

High School

Created on October 17, 2023

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Module 2

In this module you will review linear equations and linear inequalities

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

Sign in to your Classkick account to find the practice test.

In this lesson you will

  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

Lesson 1 - Linear Equations Word Problems

Remember to define your variables, and use your strategies (underline, highlight, etc.) when doing word problems. Always ask yourself if your answer makes sense with what the problem is asking.

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.

You Try!

Classkick Pages to Complete

Pages 24, 25, 28 & 73 - 74

Remember this will be graded as your knowledge check!

Lesson 2 - Linear Equations

Expressions Word Problems

Solving Equations

Solve for x

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.

You Try!

Classkick Pages to Complete

Page 26

Remember this will be graded as your knowledge check!

Lesson 3 - Linear Functions

Slope is the steepness of a line, which is denoted as "m" Slope formula: y2 - y1 x2 - x1

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

m =

Writing a Linear Function

Classkick Pages to Complete

Page 27, 52 - 57 & 79 - 80

Remember this will be graded as your knowledge check!

Lesson 4 - Systems of Linear Equations

Systems of linear equations have three methods to solving: 1. Substitution Method 2. Graphing Method 3. Elimination Method

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.

Elimination Method

Substituion Method

Graphing Method

You Try!

y = −3x + 4 y = 3x − 2

−7x + 4y = 24 4x − 4y = 0

Classkick Pages to Complete

Pages 29 - 31

Remember this will be graded as your knowledge check!

Lesson 5 - Graphing Linear Inequalities on a Number Line

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

Graphing Linear Inequalities on a Number Line

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

Graphing Linear Inequalities on a Number Line

AND Compound Inequalities

OR Compound Inequalities

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

You Try!

Classkick Pages to Complete

Pages 32 - 34 & 75 - 76

Remember this will be graded as your knowledge check!

Lesson 6 - Inequality Word Problems

Classkick Pages to Complete

Pages 35 - 36 & 40 - 41

Remember this will be graded as your knowledge check!

Lesson 7 - Systmems of Linear Inequalities

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

< 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

Systems of Linear Inequalities

y > 2x + 1 y ≤ -x - 6

Classkick Pages to Complete

Pages 37 - 39

Remember this will be graded as your knowledge check!

Module Resources

Here are resources to help support you through this module.

Guided Notes

Quick Clips

Calculator

Vocabulary Sheet

Mrs. Sweigart's Booking Link

Module Resources

Here are resources to help support you through this module.

Guided Notes

Quick Clips

Calculator

Vocabulary Sheet

Mrs. Sweigart's Booking Link

Module Resources

Here are resources to help support you through this module.

Guided Notes

Quick Clips

Calculator

Vocabulary Sheet

Mrs. Sweigart's Booking Link

Module Resources

Here are resources to help support you through this module.

Guided Notes

Quick Clips

Calculator

Vocabulary Sheet

Mrs. Sweigart's Booking Link

Module Resources

Here are resources to help support you through this module.

Guided Notes

Quick Clips

Calculator

Vocabulary Sheet

Mrs. Sweigart's Booking Link

Module Resources

Here are resources to help support you through this module.

Guided Notes

Quick Clips

Calculator

Vocabulary Sheet

Mrs. Sweigart's Booking Link

Module Resources

Here are resources to help support you through this module.

Guided Notes

Quick Clips

Calculator

Vocabulary Sheet

Mrs. Sweigart's Booking Link

Module Resources

Here are resources to help support you through this module.

Guided Notes

Quick Clips

Calculator

Vocabulary Sheet

Mrs. Sweigart's Booking Link

Module Resources

Here are resources to help support you through this module.

Guided Notes

Quick Clips

Calculator

Vocabulary Sheet

Mrs. Sweigart's Booking Link

Module Resources

Here are resources to help support you through this module.

Guided Notes

Quick Clips

Calculator

Vocabulary Sheet

Mrs. Sweigart's Booking Link

Module Resources

Here are resources to help support you through this module.

Guided Notes

Quick Clips

Calculator

Vocabulary Sheet

Mrs. Sweigart's Booking Link

Module Resources

Here are resources to help support you through this module.

Guided Notes

Quick Clips

Calculator

Vocabulary Sheet

Mrs. Sweigart's Booking Link

Module Resources

Here are resources to help support you through this module.

Guided Notes

Quick Clips

Calculator

Vocabulary Sheet

Mrs. Sweigart's Booking Link

Module Resources

Here are resources to help support you through this module.

Guided Notes

Quick Clips

Calculator

Vocabulary Sheet

Mrs. Sweigart's Booking Link

Module Resources

Here are resources to help support you through this module.

Guided Notes

Quick Clips

Calculator

Vocabulary Sheet

Mrs. Sweigart's Booking Link

Module Resources

Here are resources to help support you through this module.

Guided Notes

Quick Clips

Calculator

Vocabulary Sheet

Mrs. Sweigart's Booking Link

Module Resources

Here are resources to help support you through this module.

Guided Notes

Quick Clips

Calculator

Vocabulary Sheet

Mrs. Sweigart's Booking Link

Module Resources

Here are resources to help support you through this module.

Guided Notes

Quick Clips

Calculator

Vocabulary Sheet

Mrs. Sweigart's Booking Link

Module Resources

Here are resources to help support you through this module.

Guided Notes

Quick Clips

Calculator

Vocabulary Sheet

Mrs. Sweigart's Booking Link