Unit Test — Unit test Answers

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What value of x is in the solution set of 2x – 3 > 11 – 5x?

A
–3
B
0
C
2
D
4
2
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Solve the equation.–9x + 1 = –x + 17

A
x = –8
B
x = –2
C
x = 2
D
x = 8
3

Solve the equation.y + 3 = –y + 9

A
y = 1
B
y = 3
C
y = 6
D
y = 9
4

Fiona solved the equation shown. – (6x – 3) = –

Question illustration
A
Simplify by combining like terms.
B
Simplify by using addition property of equality.
C
Simplify by using the multiplication property of equality.
D
Simplify by using the division property of equality.
5

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
6

Step 1: –10 + 8x < 6x – 4Step 2: –10 < –2x – 4Step 3: –6 < –2xStep 4: ________

A
x < –3
B
x > –3
C
x < 3
D
x > 3
7

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
8

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
9

Solve the inequality.2(4x – 3) ≥ –3(3x) + 5x?

A
x ≥ 0.5
B
x ≥ 2
C
(–∞, 0.5]
D
(–∞, 2]
10

The area, a, of an ellipse can be determined using the formula a = πxy, where x and y are half the lengths of the largest and smallest diameters of the ellipse.

A
y = a · πx
B
y = a + (πx)
C
y = a – πx
D
y = a ÷ (πx)
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 tables represent the functions f(x) and g(x).

Question illustration
A
x = –3
B
x = –1
C
x = 0
D
x = 1
13

What is a correct first step in solving the inequality –4(3 – 5x)≥ –6x + 9?

A
–12 – 20x ≤ –6x + 9
B
–12 – 20x ≥ –6x + 9
C
–12 + 20x ≤ –6x + 9
D
–12 + 20x ≥ –6x + 9
14

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

Question illustration
A
p = 1
B
p = 2
C
p = 8
D
p = 10
15

Deepak wrote out the steps to his solution of the equation – 3x – 5 + 4x = –. Which step has an incorrect instruction?

Question illustration
A
Step 1
B
Step 2
C
Step 3
D
Step 4
16

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
17

What value of x is in the solution set of 3(x – 4) ≥ 5x + 2?

A
–10
B
–5
C
5
D
10
18

What is the justification for the step taken from line 2 to line 3?

Question illustration
A
the subtraction property of equality
B
the multiplication property of equality
C
combining like terms on one side of the equation
D
the distributive property
19

Solve the equation.8 – 2x = –8x + 14

A
x = –1
B
x =
Option B
C
x =
Option C
D
x = 1
20

Solve the equation for a.K = 4a + 9ab

A
a = K(4 + 9b)
B
a = 4(K + 9b)
C
a =
Option C
D
a =
Option D

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