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Algebra 2 1-6 Complete Lesson: Absolute Value Equations and Inequalities

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Last updated about 4 years ago
25 questions
Note from the author:
A complete formative lesson with embedded slideshow, mini lecture screencasts, checks for understanding, practice items, mixed review, and reflection. I create these assignments to supplement each lesson of Pearson's Common Core Edition Algebra 1, Algebra 2, and Geometry courses. See also mathquest.net and twitter.com/mathquestEDU.
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Question 1
1.

Solve It! You are riding in an elevator and decide to find out how far it travels in 10 minutes. You start on the third floor and record each trip in the table. Each floor is 12 ft high. How far did the elevator travel in all?

Question 2
2.

Problem 1 Got It? What is the solution of the equation? Graph the solution on the canvas.

|3x + 2| = 4

Include relevant graph detail.

Question 3
3.

Problem 2 Got It? What is the solution of the equation? Graph the solution on the canvas.

2|x + 9| + 3 = 7

Include relevant graph detail.

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Question 4
4.

Problem 3 Got It?

Question 5
5.

Problem 4 Got It? What is the solution of the inequality? Graph the solution on the canvas.

|3x - 4| < 8

Include relevant graph detail.

Question 6
6.

Problem 5 Got It? What is the solution of the inequality? Graph the solution on the canvas.

|5x + 10| > 15

Include relevant graph detail.

Question 7
7.

Problem 5 Got It? Without solving the inequality below, describe the graph of its solution by dragging the accurate statements from the left column.

|x - 3| > 2

  • The graph has a gap in the middle.
  • The graph has no gap in the middle.
  • The graph has arrows pointing in opposite directions.
  • The graph has no arrows.
  • Accurate statements
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Question 8
8.

Problem 6 Got It?

Question 9
9.

Solve the equation. Check your answers.|-6x| = 24

Question 10
10.

Solve the equation. Check your answers.|2x + 8| - 4 = 12

Question 11
11.

Solve the equation. Check your answers.|x - 2| = 4x + 8

Question 12
12.

Solve the inequality. Graph the solution. |2x + 2| - 5 < 15
Include relevant graph detail.

Question 13
13.

Solve the inequality. Graph the solution. |4x - 6| > 10
Include relevant graph detail.

Question 15
15.

Reasoning: When is the absolute value of a number equal to the number itself?

Question 16
16.

Provide an Example: Give an example of a compound inequality that has no solution.

Question 17
17.

Compare and Contrast: Describe how absolute value equations and inequalities are similar to linear equations and inequalities and how they are different.

Question 18
18.

Review Lesson 1-5: Solve the inequalities on the canvas and graph their solutions.

5y - 10 < 20

15(4s + 1) < 23

4a + 6 > 2a + 14

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Question 19
19.

Review Lesson 1-1: Describe the pattern using words.

10
Question 20
20.

Review Lesson 1-1: Draw the next figure in the pattern on the canvas.

Question 21
21.

Review Graphing Points: Graph each ordered pair on the coordinate plane. Include graph detail: label axes and establish scale.

(-4, -8)
(3, 6)
(0, 0)
(-1, 3)

Question 22
22.

Vocabulary Review: Identify the solution of the equation.

3x + 8 = -4

  • x = -9
  • x = -4
  • x = 4
  • x = 4/3
  • Solution of the equation
Question 23
23.

Use Your Vocabulary: Graph the points and solutions on the canvas.

Question 24
24.

Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.

For a refresher on the Cornell note-taking system, click here.

Question 25
25.

Reflection: Math Success