Algebra 2 Absolute Value Quiz

Multiple Choice
Identify the choice that best completes the statement or answers the question.
Solve the given equation. Check your solution.

 1.
| m mc001-1.jpg 1 | = 23
a.
 {24, –22}
b.
 {24, 29}
c.
 {–24, –22}
d.
 {24, 22}

 2.
20| 2s + 5 | = 24
a.
 {–1.9, –3.1}
b.
 {–1.9, 3.1}
c.
 {9.5, –3.1}
d.
 {1.9, –3.1}

 3.
112| 2s + 5 | = 116
a.
 {–1.98, –3.02}
b.
 {1.98, –3.02}
c.
 {55.5, –3.02}
d.
 {–1.98, 3.02}

 4.
| m – 6 | = 27
a.
 {–33, –21}
b.
 {33, 21}
c.
 {33, 29}
d.
 {33, –21}

 5.
Evaluate the given expression if m = 61.
| -3m |
a.
 183
b.
 438
c.
 61
d.
 –183

 6.
Evaluate the given expression if k = –48.
5| k + 10 | – | 4k |
a.
 382
b.
 2
c.
 –10
d.
 –2

Answers: (AAADAD)

Highlight below for explanations:

1-4. For any real numbers a and b, where b mc002-1.jpg 0, if | a | = b, then a = b, or mc002-2.jpga = b.

5. For any real number a, if a is positive or zero, the absolute value of a is a. If a is negative, the absolute value of a is the opposite of a.

6. For any real number a, if a is positive or zero, the absolute value of a is a. If a is negative, the absolute value of a is the opposite of a. Substitute the value of k in the equation and solve it.

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