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Algebra 1 3-7 Complete Lesson: Absolute Value Equations and Inequalities

Last updated almost 6 years ago

33 questions

10

A.CED.1

10

A.CED.1

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A.CED.1

A.SSE.1.b

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A.CED.1

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A.SSE.1.b

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A.CED.1

A.SSE.1.b

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A.CED.1

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A.SSE.1.b

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A.SSE.1.b

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A.CED.1

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10

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10

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10

10

10

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100

10

A.CED.1

10

A.CED.1

Question 2

2.

Question 3

3.

Problem 1 Got It? Graph and check the solutions.
Include relevant graph detail.

Question 4

4.

Question 5

5.

Question 6

6.

10

A.CED.1

A.SSE.1.b

Question 8

8.

Question 9

9.

Problem 4 Got It? Graph the solutions of the inequality.
Include all relevant graph detail.

Question 10

10.

10

A.CED.1

10

Question 12

12.

Problem 5 Got It? Reasoning: Explain your response to the previous item.

A.CED.1

A.SSE.1.b

Question 13

13.

Solve and graph.
Include relevant graph detail.

Question 14

14.

Solve and graph.
Include relevant graph detail.

Question 15

15.

Solve and graph.
Include relevant graph detail.

Question 16

16.

Solve and graph.
Include relevant graph detail.

Question 17

17.

Solve and graph.
Include relevant graph detail.

Question 18

18.

Question 20

20.

Compare and Contrast: Explain the similarities and differences in solving the equation |x - 1| = 2 with solving the inequalities |x - 1| ≤ 2 and |x - 1| ≥ 2.

Question 21

21.

Review Lesson 3-6: Write a compound inequality to model the situation. Use the variable E to represent elevation.

The highest elevation in North America is 20,320 ft above sea level at Mount Denali, Alaska. The lowest elevation in North America is 282 ft below sea level at Death Valley, California.

Question 22

22.

Review Lesson 1-7: Simplify the expression.

Question 23

23.

Review Lesson 1-7: Simplify the expression.

Question 24

24.

Review Lesson 1-7: Simplify the expression.

Question 25

25.

Review Lesson 1-7: Simplify the expression.

Question 26

26.

Question 27

27.

Review Lesson 3-5: Write the set in set-builder notation.

Question 28

28.

Review Lesson 3-5: Write the set in roster form. C = {n|n is an even number between -15 and -5}

Enter your response in this form: {-2, -1, 0, 1, 2, 3}, with the only spaces following each comma.

Question 29

29.

Review Lesson 3-5: Write the set in roster form. D = {k|k is a composite number between 7 and 17}

Enter your response in this form: {-2, -1, 0, 1, 2, 3}, with the only spaces following each comma.

Question 30

30.

Question 31

31.

Question 32

32.

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 33

33.

Reflection: Math Success

Question 1

1.

Problem 1 Got It? What are the solutions of the equation?

n = ±7

n = ±3

n = ±2

n = ±5

Problem 2 Got It? Another friend's distnace d from you (in feet) after t seconds is given by d = |80 - 5t|. What does the 5 in the equation represent?

Your friend's constant speed in feet per second.

Your friend's distance from you after t seconds.

Your friend's starting distance from you.

Problem 2 Got It? Another friend's distnace d from you (in feet) after t seconds is given by d = |80 - 5t|. What does the 80 in the equation represent?

Your friend's distance from you after t seconds.

Your friend's constant speed in feet per second.

Your friend's starting distance from you.

Problem 2 Got It? Another friend's distnace d from you (in feet) after t seconds is given by d = |80 - 5t|. At what time is she 60 ft from you? 
Select all that apply.

4 s

10 s

28 s

40 s

Question 7

7.

Problem 4 Got It? What are the solutions of the inequality?

x ≥ 0.5 or x ≤ -0.5

x ≥ 4.5 or x ≤ -0.5

x ≥ 0.5 or x ≤ -4.5

x ≥ -4 or x ≤ 11

Problem 5 Got It? A food manufacturer makes 32-oz boxes of pasta. Not every box weighs exactly 32 oz. The allowable difference from the ideal weight is at most 0.05 oz. Write and solve an absolute value inequality to find the range of allowable weights.

|w - 0.05| ≤ 32; 30.95 ≤ w ≤ 32.05

|w - 32| ≤ 0.05; 31.95 ≤ w ≤ 32.05

|w - 32| ≤ 0.05; 30.95 ≤ w ≤ 32.05

|w - 0.05| ≤ 32; 31.95 ≤ w ≤ 32.05

Question 11

11.

Reasoning: How many solutions can you get when you solve absolute value equations? Select all that apply.

0

1

2

3

infinitely many

Review Lesson 3-5: Write the set in set-builder notation.

A =  {x| x is a whole number, x ≤ 9}

A =  {x| 0 < x < 9}

A =  {x| 0 ≤ x ≤ 9}

A =  {x| x is a whole number, x < 9}

Vocabulary Review: Mark each statement as True or False.

True

False

To indicate the absolute value of -8, you write |-8|.

The absolute value of -8 is -8, since -8 is 8 units from 0 on the number line.

The absolute value of -8 is 8, since -8 is 8 units from 0 on the number line.

According to the definition of absolute value, if |r|= 3, then r = 3 or r = -3.

Use Your Vocabulary: Match each expression on the left with its word phrase on the right.

m increased by 8

m divided by 8

m less than 8

Solve It! Serena skates toward Darius and then passes by him. She skates at a constant speed of 20 ft/s. At what time(s) is Serena 60 ft from Darius? Select all that apply.

1 second

2 seconds

3 seconds

5 seconds

7 seconds

8 seconds

60 ft from Darius

Problem 3 Got It?

A

B

C

D

Problem 5 Got It? Reasoning: In Problem 5, could you have solved the inequality |w - 213|  ≤ 5 by first adding 213 to each side?

Yes

No