Absolute Value Practice Questions

Last updated about 2 months 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

Required

12

Required

8

Required

20

Required

20

Required

20

Required

20

Required

20

Library

Absolute Value Practice Questions

Last updated about 2 months ago

19 questions

Spiral Review

Required

10

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

A.CED.1

A.SSE.1.b

Required

10

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?)
_______ 

A.CED.1

A.SSE.1.b

Required

2

Required

2

Required

2

Required

2

Required

5

Use interval notation to describe the range of this function.

Required

5

Use interval notation to describe the domain of this function.

Required

5

Write the following in interval notation.

Required

5

Write the following in interval notatin.

Required

12

Required

12

Required

12

Required

8

More Solving Absolute Value Inequalities

Required

20

Solve and graph the inequality

Required

20

Solve and graph the inequality:

Required

20

Solve and graph the inequality:

Required

20

Solve and graph.

Required

20

Solve and graph the inequality:

Spiral Review

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

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?)
_______ 

Is this an open or closed interval?

Open (not equal to; not included)

Closed (equal to; including)

Both

Is this an open or closed interval?

Closed (equal to; including)

Open (not equal to; not included)

Both

Is this an open or closed interval?

Both

Closed (equal to; including)

Open (not equal to; not included)

Is this an open or closed interval?

Open (not equal to; not included)

Closed (equal to; including)

Both

Use interval notation to describe the range of this function.

Use interval notation to describe the domain of this function.

Write the following in interval notation.

Write the following in interval notatin.

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

-2<x<2
|x|<2
|x|≥2
(-∞,-2)∪(2,∞)
x<-2 or x>2
|x|>2
-2≤x≤2
(-2,2)
|x|≤2

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

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

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

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

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

(-∞,5]∪(9,∞)
(5,9]
5<x≤9
(5,9)
(-∞,5)∪[9,∞)
x≤5 or x>9
x<5 or x≥9

More Solving Absolute Value Inequalities

Solve and graph the inequality

Solve and graph the inequality:

Solve and graph.

Solve and graph the inequality:

Is this an open or closed interval?

Open (not equal to; not included)

Closed (equal to; including)

Both

Is this an open or closed interval?

Closed (equal to; including)

Open (not equal to; not included)

Both

Is this an open or closed interval?

Both

Closed (equal to; including)

Open (not equal to; not included)

Is this an open or closed interval?

Open (not equal to; not included)

Closed (equal to; including)

Both

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

-2<x<2

|x|<2

|x|≥2

(-∞,-2)∪(2,∞)

x<-2 or x>2

|x|>2

-2≤x≤2

(-2,2)

|x|≤2

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

(-3,13)

x<-4 or x>4

x≤-4 or x≥4

(-∞,-4)∪(4,∞)

|x-5|<8

[-3,13]

-3≤x≤13

|x|<4

|x|>4

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

3<x<5

(-∞,3)∪(5,∞)

1>x≤4

|x-4|>1

x<3 or x>5

|x-2.5|<1.5

1<x≤4

(1,4]

x<1 or x≥4

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

(-∞,5]∪(9,∞)

(5,9]

5<x≤9

(5,9)

(-∞,5)∪[9,∞)

x≤5 or x>9

x<5 or x≥9