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Quiz #4 - Absolute Value Equations

Total questions: 12

Worksheet time: 3600secs

Name
Class
Date
1.

Solve the following equation:


| 2x + 9| = 15

a)

x = 3

b)

x = 3 or x = −12

c)

x = 3 or x = −6

d)

x = 6 or x = −12

2.

Solve the following equation:


|2a − 10| = 6

a)

a = 8 or a = 5

b)

a = 8 or a = −2

c)

a = 8

d)

a = 8 or a = 2

3.

Solve the following equation:


|v + 8| − 5 = 2

a)

x = −1 or x= −15

b)

x = -15 or x = 15

c)

x = -1 or x = -5

d)

no solution

4.

What's a way to define absolute value?

a)

The value of a number

b)

The distance of a number from zero

c)

The opposite of a number

d)

The multiplicative inverse of a number

5.

What is the reason that absolute value is always written as a positive?

a)

Absolute value is talking about numbers so it must be positive.

b)

Absolute value is like a clock it has only positive numbers.

c)

Absolute value does not always have to be positive.

d)

Absolute value is talking about distance, distance is always measured by positive numbers.

6.

Solve the following equation:


|−2n| + 10 = −50

a)

x = 30 or x = -30

b)

x = -5 or x = 5

c)

x = 20 or x = -20

d)

No Solution

7.

Solve the following equation:


| x – 3 |= 0

a)

x = 3

b)

x = 3 or x = -3

c)

x = -3

d)

No Solution

8.

How many solutions does the equation have?

4|m| = -20

a)

no solution

b)

one solution

c)

two solutions

9.

How many solutions does the equation have?

|c - 7| = 2

a)

no solution

b)

one solution

c)

two solutions

10.

How many solutions does the equation have?

-4 = |-6v| - 4

a)

no solution

b)

one solution

c)

two solutions

11.

What is the first step?


|x+7| + 5 = 6

a)

Get the absolute value alone by dividing both sides by 5

b)

Drop the absolute value bars and add 7 and 5 together

c)

Get the absolute value alone by subtracting 5 from both sides

12.

Solve the following equation:


−2|−2r − 4| = -12

a)

x = 5 or x = -1

b)

x = -5 or x = 1

c)

x = 5

d)

no solution