Grades

Kindergarten

1st

2nd

3rd

4th

5th

6th

7th

8th

9th

10th

11th

12th

Higher Ed

Adult Ed

Other

Subjects

ELA

Math

Science

Social Studies

Art

Computer Science

French

German

Music

Physical Education

Spanish

Other

Private Library

Team Premium

*check*Rating- Date

Algebra 1 3-7 Absolute Value Equations and Inequalities

4.5 (1 rating)

| 32 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.

zoom in

1

10 pts

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.

- 60 ft from DariusAnswer by dragging items here

2

10 pts

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

n = ±7

n = ±3

n = ±2

n = ±5

3

10 pts

Problem 1 Got It? Graph and check the solutions.

Include relevant graph detail.

4

10 pts

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.

5

10 pts

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 starting distance from you.

Your friend's distance from you after t seconds.

Your friend's constant speed in feet per second.

6

10 pts

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

zoom in

7

10 pts

Problem 3 Got It?

A

B

C

D

8

10 pts

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

x ≥ 0.5 or x ≤ -4.5

x ≥ 0.5 or x ≤ -0.5

x ≥ 4.5 or x ≤ -0.5

x ≥ -4 or x ≤ 11

9

10 pts

Problem 4 Got It? Graph the solutions of the inequality.

Include all relevant graph detail.

10

10 pts

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 - 32| ≤ 0.05; 31.95 ≤ w ≤ 32.05

|w - 0.05| ≤ 32; 30.95 ≤ w ≤ 32.05

|w - 0.05| ≤ 32; 31.95 ≤ w ≤ 32.05

|w - 32| ≤ 0.05; 30.95 ≤ w ≤ 32.05

zoom in

11

10 pts

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

12

10 pts

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

13

10 pts

Solve and graph.

Include relevant graph detail.

14

10 pts

Solve and graph.

Include relevant graph detail.

15

10 pts

Solve and graph.

Include relevant graph detail.

16

10 pts

Solve and graph.

Include relevant graph detail.

17

10 pts

Solve and graph.

Include relevant graph detail.

18

10 pts

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

0

1

2

3

infinitely many

20

10 pts

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.

21

10 pts

Review Lesson 3-6: Write a compound inequality to model the situation.

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.

22

10 pts

Review Lesson 3-6: Write a compound inequality to model the situation.

Normal human body temperature T is within 0.3°C of 37.2°C.

23

10 pts

Review Lesson 1-7: Simplify the expression.

Write an expression in this form 5x + 3, with a space on both sides of the operation symbol.

24

10 pts

Review Lesson 1-7: Simplify the expression.

Write an expression in this form 5x + 3, with a space on both sides of the operation symbol.

25

10 pts

Review Lesson 1-7: Simplify the expression.

Write an expression in this form 5x + 3, with a space on both sides of the operation symbol.

26

10 pts

Review Lesson 1-7: Simplify the expression.

Write an expression in this form 5x + 3, with a space on both sides of the operation symbol.

27

10 pts

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

A = {x| 0 < x < 9}

A = {x| 0 ≤ x ≤ 9}

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

A = {x| x is a whole number, x ≤ 9}

28

10 pts

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

29

10 pts

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.

30

10 pts

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.

31

10 pts

Vocabulary Review: Mark each statement as True or False.

- To indicate the absolute value of -8, you write |-8|.Answer by dragging items here
- The absolute value of -8 is -8, since -8 is 8 units from 0 on the number line.Answer by dragging items here
- The absolute value of -8 is 8, since -8 is 8 units from 0 on the number line.Answer by dragging items here
- According to the definition of absolute value, if |r|= 3, then r = 3 or r = -3.Answer by dragging items here

32

10 pts

Reflection: Math Success

Add to my formatives list