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.

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

 2.

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

 3.

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

 4.

mc004-1.jpg 6 | = 27
a.
{–33, –21}
b.
{33, 21}
c.
{33, 29}
d.
{33, –21}
 

 5.

Evaluate the given expression if = 61.
mc005-1.jpg3|
a.
183
b.
438
c.
61
d.
–183
 

 6.

Evaluate the given expression if k = –48.
5| k + 10 | mc006-1.jpg | 4|
a.
382
b.
2
c.
–10
d.
–2

Answers: (AAADAD)

Highlight below for explanations:

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

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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