AnswersNHS Algebra Integrated Math II Semester 1 CRUnit Test

Unit Test — Unit test Answers

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What is the value of x in the equation ?

Question illustration
A
StartFraction 2 Over 3 EndFraction left-parenthesis StartFraction one-half EndFraction. x plus 12 right-parenthesis equals left-parenthesis StartFraction one-half EndFraction left-parenthesis StartFraction one-third EndFraction x plus 14 right-parenthesis minus 3.
Option A
B
StartFraction one-half EndFraction left-parenthesis n minus 4 right-parenthesis minus 3 equals 3 minus left-parenthesis 2 n plus 3 right-parenthesis.
Option B
C
2
D
13
2
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Line CD passes through points C(3, –5) and D(6, 0). What is the equation of line CD in standard form?

A
5x + 3y = 18
B
5x – 3y = 30
C
5x – y = 30
D
5x + y = 18
3

The table represents a linear function.

Question illustration
A
–3
B
–2
C
3
D
4
4

A line contains points M(1, 3) and N(5, 0). What is the slope of MN?

A
negative StartFraction 4 Over 3 EndFraction
Option A
B
negative StartFraction 3 Over 4 EndFraction
Option B
C
StartFraction 3 Over 4 EndFraction
Option C
D
StartFraction 4 Over 3 EndFraction
Option D
5

Which equation represents the line that passes through (–6, 7) and (–3, 6)?

A
y = –x + 9
Option A
B
y = –x + 5
Option B
C
y = –3x – 11y
D
y = –3x + 25
6

The volume, V, of a rectangular prism is determined using the formula V=lwh, where l is the length, w is the width, and h is the height of the prism.Using this formula, what is the width of a rectangular prism that has a volume of 138.24 cubic inches, a height of 9.6 inches, and a length of 3.2 inches? Round to the nearest tenth.

A
0.2 inches
B
4.5 inches
C
46.1 inches
D
414.7 inches
7

Pauley graphs the change in temperature of a glass of hot tea over time. He sees that the function appears to decrease quickly at first, then decrease more slowly as time passes. Which best describes this function?

A
It is linear because the graph decreases over time.
B
It is linear because there is both an independent and a dependent variable.
C
It is nonlinear because linear functions are increasing functions.
D
It is nonlinear because linear functions increase or decrease at the same rate.
8

The tables represent the functions f(x) and g(x).

Question illustration
A
x = –3
B
x = –1
C
x = 0
D
x = 1
9

Which input value produces the same output value for the two functions on the graph?

Question illustration
A
x = –3
B
x = –1
C
x = 1
D
x = 3
10

Anastasia uses the equation p = 0.7(rh + b) to estimate the amount of take-home pay, p, for h hours worked at a rate of r dollars per hour and any bonus received, b.

A
h = (– b)÷ r
Option A
B
h = – b ÷ r
Option B
C
h = ÷ r – b
Option C
D
h = ÷ r
Option D
11

What is the solution to the linear equation?6k + 10.5 = 3k + 12

A
k = 0.5
B
k = 2
C
k = 7.3
D
k = 9
12

The table shows the profit from a school book fair based on the number of books sold.

Question illustration
A
$0.50 per book
B
$0.67 per book
C
$1.07 per book
D
$1.50 per book
13

What is the solution to the linear equation? + p = + p

Question illustration
A
p = 1
B
p = 2
C
p = 8
D
p = 10
14

What is the value of n in the equation ?

Question illustration
A
n = 0
B
n = 2
C
n = 4
D
n = 6
15

A coordinate plane with a line passing through (0, negative 3), (2, 0), and (4, 3).

Question illustration
A
–3x + 2 = y
B
–x + 2 = y
Option B
C
x – 3 = y
Option C
D
2x – 3 = y
16

A store offers packing and mailing services to customers. The cost of shipping a box is a combination of a flat packing fee of $5 and an amount based on the weight in pounds of the box, $2.25 per pound. Which equation represents the shipping cost as a function of x, the weight in pounds?

A
f(x) = 2.25x + 5
B
f(x) = 5x + 2.25
C
f(x) = 2.25x − 5
D
f(x) = 5x − 2.25
17

What is the slope of the line represented by the equation f(t)=2t−6?

A
The slope is 2 and the y-intercept is −6.
B
The slope is −6 and the y-intercept is 2.
C
The slope is 2 and the y-intercept is 6.
D
The slope is 6 and the y-intercept is 2.
18

What is the y-intercept of the function f(x)=4 – 5x?

A
–5
B
–4
C
4
D
5
19

The formula to convert °F to °C is C = (F – 32).Convert 50°C to °F.

Question illustration
A
10°F
B
20°F
C
122°F
D
132°F
20

Lily begins solving the equation 4(x – 1) – x = 3(x + 5) – 11. Her work is shown below.4(x – 1) – x = 3(x + 5) – 11 4x – 4 – x = 3x + 15 – 113x – 4 = 3x + 4

A
The equation has one solution: x = 0.
B
The equation has one solution: x = 8.
C
The equation has no solution.
D
The equation has infinite solutions.

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