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Absolute Value Practice Questions

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Last updated about 2 hours ago
19 questions
Required
10
A.CED.1
A.SSE.1.b
Required
10
A.CED.1
A.SSE.1.b
Required
2
Required
2
Required
2
Required
2
Required
5
Required
5
Required
5
Required
5
Required
12
Required
12
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12
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8
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20
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20
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20
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20
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20

Spiral Review

Question 1
1.

Reasoning: Explain why the absolute value equation |3x| + 8 = 5 has no solution.

Question 2
2.
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.

Compare these two inequalities. (How are they alike?)
_______

Contrast these two inequalities. (How are they different?)
_______
Question 3
3.

Is this an open or closed interval?

Question 4
4.

Is this an open or closed interval?

Question 5
5.

Is this an open or closed interval?

Question 6
6.

Is this an open or closed interval?

Question 7
7.

Use interval notation to describe the range of this function.

Question 8
8.

Use interval notation to describe the domain of this function.

Question 9
9.

Write the following in interval notation.

Question 10
10.

Write the following in interval notatin.

Question 11
11.

Match each inequality, absolute value, and interval notation with the correct graph. (Not every choice will be used)

  • |x|<2
  • (-∞,-2)∪(2,∞)
Question 12
12.

Match each inequality, absolute value, and interval notation with the correct graph. (Not every choice will be used)

  • |x|>4
  • |x|<4
Question 13
13.

Match each inequality, absolute value, and interval notation with the correct graph. (Not every choice will be used)

  • |x-4|>1
  • (1,4]
Question 14
14.

Match each inequality, absolute value, and interval notation with the correct graph. (Not every choice will be used)

  • 5<x≤9
  • x≤5 or x>9
  • x<5 or x≥9
  • (5,9]

More Solving Absolute Value Inequalities

Question 15
15.

Solve and graph the inequality




Question 16
16.

Solve and graph the inequality:



Question 17
17.

Solve and graph the inequality:


Question 18
18.

Solve and graph.



Question 19
19.

Solve and graph the inequality:



-2<x<2
|x|≤2
-2≤x≤2
|x|≥2
|x|>2
x<-2 or x>2
(-2,2)
x<-4 or x>4
(-∞,-4)∪(4,∞)
[-3,13]
-3≤x≤13
(-3,13)
x≤-4 or x≥4
|x-5|<8
1>x≤4
(-∞,3)∪(5,∞)
x<3 or x>5
x<1 or x≥4
3<x<5
|x-2.5|<1.5
1<x≤4
(-∞,5]∪(9,∞)
(-∞,5)∪[9,∞)
(5,9)