AnswersAlgebra I B CR 24Absolute Value Functions and Translations

Absolute Value Functions and Translations — Unit test Answers

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1
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What is the solution to the inequality ?

Question illustration
A
–3 > n > –2
B
2 < n < 3
C
n –2
D
n 3
2
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What is the value of the rational expression when x = 5?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
3

Which graph represents the function p(x) = |x – 1|?

A
Option
B
Option
C
Option
D
Option
4

The heat in the house is set to keep the minimum and maximum temperatures (in degrees Fahrenheit) according to the equation |x – 72.5| = 4. What are the minimum and maximum temperatures in the house?

A
72.5°F and 76.5°F
B
68.5°F and 76.5°F
C
70.5°F and 74.5°F
D
72.5°F and 74.5°F
5

Which expression is equivalent to ?

Question illustration
A
StartFraction RootIndex 4 StartRoot 200 EndRoot Over 2 EndFraction
Option A
B
StartFraction RootIndex 4 StartRoot 20 EndRoot Over 2 EndFraction
Option B
C
StartFraction 2 StartRoot 5 EndRoot Over 5 EndFraction
Option C
D
StartFraction 100 Over 8 EndFraction
Option D
6

Jamilla solved the inequality and graphed the solution as shown below. What is the value of b and the missing symbol in Jamilla’s inequality?

Question illustration
A
b = –1,
Option A
B
b = –1,
Option B
C
b = 1,
Option C
D
b = 1,
Option D
7

What is the following quotient?

Question illustration
A
StartFraction 9 StartRoot 7 EndRoot + StartRoot 14 EndRoot Over negative 3 EndFraction
Option A
B
StartFraction 36 minus 9 StartRoot 7 EndRoot + 4 StartRoot 2 EndRoot minus StartRoot 14 EndRoot EndFraction
Option B
C
StartFraction 36 + 9 StartRoot 7 EndRoot + 4 StartRoot 2 EndRoot + StartRoot 14 EndRoot Over 9 EndFraction
Option C
D
StartFraction 79 Over 9 EndFraction
Option D
8

Kari and Samantha have determined that their water-balloon launcher works best when they launch the balloon at an angle within 3 degrees of 45 degrees. Which equation can be used to determine the minimum and maximum optimal angles of launch, and what is the minimum angle that is still optimal?

A
|x – 3| = 45; minimum angle: 42 degrees
B
|x – 3| = 45; minimum angle: 45 degrees
C
|x – 45| = 3; minimum angle: 42 degrees
D
|x – 45| = 3; minimum angle: 45 degrees
9

Which rational expression has a value of 0 when x = –2?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
10

Which represents a side length of a square that has an area of 450 square inches?

A
in.
Option A
B
in.
Option B
C
112.5 in.
D
115.5 in.
11

What is the simplest form of ?

Question illustration
A
3 x squared (RootIndex 4 StartRoot y Superscript 5 EndRoot
Option A
B
3 x squared y (RootIndex 4 StartRoot y EndRoot)
Option B
C
9 x squared y (RootIndex 4 StartRoot y EndRoot)
Option C
D
9 x Superscript 4 Baseline y squared (RootIndex 4 StartRoot y EndRoot)
Option D
12

On a coordinate plane, an absolute value graph has a vertex at (1, 3).

Question illustration
A
g(x) = |x + 1| + 3
B
g(x) = |x + 3| – 1
C
g(x) = |x – 1| + 3
D
g(x) = |x + 3| + 1
13

A builder needs three pipes of different lengths. The pipes are feet long, feet long, and feet long.How many feet of piping is required in all? (Hint: Try dividing each radicand by 6.)

Question illustration
A
feet
Option A
B
feet
Option B
C
feet
Option C
D
feet
Option D

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