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Algebra 1 3-7 Absolute Value Equations and Inequalities
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4.5 (1 rating)
by Matthew Richardson
| 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.
The outlined content above was added from outside of Formative.
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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 Darius
    Answer 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
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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
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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
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