Answers25-26 TX-Algebra II CRUnit Test

Unit Test — Unit test Answers

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Elise, Jake, Malik, and Xiao each solved the same inequality.Elise’s WorkJake’s WorkMalik’s WorkXiao’s Workno solutionall real numbersWhose work is correct?

Question illustration
A
Elise’s work
B
Jake’s work
C
Malik’s work
D
Xiao’s work
2
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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
3

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
4

A company manufactures 16-oz boxes of cereal. Boxes are randomly weighted to ensure the correct amount. If the discrepancy in weight is more than 0.15 oz, the production is stopped. What is the range of acceptable values for production to continue?

A
15.15 oz to 16.00 oz
B
15.85 oz to 16.00 oz
C
15.85 oz to 16.15 oz
D
16.15 oz to 16.45 oz
5

What is the vertex of the absolute value function below?

Question illustration
A
(4, –1)
B
(1, –4)
C
(1, 4)
D
(4, 1)
6

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

A
Option
B
Option
C
Option
D
Option
7

Which number line represents the solutions to –2|x| = –6?

A
A number line from negative 8 to 8 in increments of 1. Two points, one at negative 6 and one at negative 2.
Option A
B
A number line from negative 8 to 8 in increments of 1. Two points, one at negative 8 and one at negative 4.
Option B
C
A number line from negative 8 to 8 in increments of 1. Two points, one at negative 4 and one at 4.
Option C
D
A number line from negative 8 to 8 in increments of 1. Two points, one at negative 3 and one at 3.
Option D
8

Which could be the graph of f(x) = |x - h| + k if h and k are both positive?

A
Option
B
Option
C
Option
D
Option
9

Which graph represents the function f(x) = |x| – 4?

A
On a coordinate plane, an absolute value graph has a vertex at (0, 4).
Option A
B
On a coordinate plane, an absolute value graph has a vertex at (negative 4, 0).
Option B
C
On a coordinate plane, an absolute value graph has a vertex at (0, negative 4).
Option C
D
On a coordinate plane, an absolute value graph has a vertex at (4, 0).
Option D
10

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
11

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
12

Johan found that the equation –2|8 – x| – 6 = –12 had two possible solutions: x = 5 and x = –11. Which explains whether his solutions are correct?

A
He is correct because both solutions satisfy the equation.
B
He is not correct because he made a sign error.
C
He is not correct because there are no solutions.
D
He is not correct because there is only one solution: x = 5.
13

Edmundo used a number line to show the solution for the inequality . Which number line shows the solution?

Question illustration
A
mc023-2.jpg
Option A
B
mc023-3.jpg
Option B
C
mc023-4.jpg
Option C
D
mc023-5.jpg
Option D
14

Which statement is true about ?

Question illustration
A
The graph of f(x) has a vertex of (–4, 6).
B
The graph of f(x) is a horizontal stretch of the graph of the parent function.
C
The graph of f(x) opens upward.
D
The graph of f(x) has a domain of x –6.
Option D
15

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
16

The standard diameter of a golf ball is 42.67 mm. A golf ball factory does quality control on the balls it manufactures. Golf balls are randomly measured to ensure the correct size. One day, an inspector decides to stop production if the discrepancy in diameter is more than 0.002 mm. Which function could represent this situation?

A
f(x ) = x – |42.67|
B
f(x ) = |x| – 42.67
C
f(x ) = |42.67 – x|
D
f(x ) = 42.67 – |x|
17

Which number line represents the solutions to |x – 5| = 1?

A
A number line from negative 7 to 7 in increments of 1. Two points, one at negative 6 and one at negative 4.
Option A
B
A number line from negative 7 to 7 in increments of 1. Two points, one at 4 and one at 6.
Option B
C
A number line from negative 7 to 7 in increments of 1. Two points, one at negative 5 and one at 1.
Option C
D
A number line from negative 7 to 7 in increments of 1. Two points, one at negative 1 and one at 5.
Option D
18

What is the vertex of f(x) = |x + 8| – 3?

A
(–8, –3)
B
(–8, 3)
C
(8, –3)
D
(8, 3)
19

Which of the following is the graph of f(x) = –0.5|x + 3| –2?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
20

What is the solution to the inequality ?

Question illustration
A
–7 < x < –1
B
1 < x < 7
C
x < –7 or x < –1
D
x > 1 or x < 7

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