AnswersMOHEGAN - ALGEBRA 1AIntroduction to Compound Inequalities

Introduction to Compound Inequalities — Unit test Answers

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1
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How many solutions exist for the given equation?3(x + 10) + 6 = 3(x + 12)

A
zero
B
one
C
two
D
infinitely many
2
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Which compound inequality could be represented by the graph?

Question illustration
A
–4 ≤ x ≤ 4
B
–2 ≤ x ≤ –1
C
x ≤ –1 or x ≥ 0
D
x ≤ 3 or x ≥ –1
3

Solve the equation.–x + 8 + 3x = x – 6

A
x = –18
B
x = –14
C
x = 2
D
x = 4
4

Nikita ran a 5-kilometer race in 39 minutes (0.65 of an hour) without training beforehand. In the first part of the race, her average speed was 8.75 kilometers per hour. For the second part of the race, she started to get tired, so her average speed dropped to 6 kilometers per hour. Which expression represents Nikita’s distance for the second part of the race?

Question illustration
A
6t
B
0.65 – t
C
6(0.65) – t
D
6(0.65 – t)
5

Use properties to rewrite the given equation. Which equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? Select two options.

A
2.3p – 10.1 = 6.4p – 4
B
2.3p – 10.1 = 6.49p – 4
C
230p – 1010 = 650p – 400 – p
D
23p – 101 = 65p – 40 – p
E
2.3p – 14.1 = 6.4p – 4
6

Consider the equation v + 4 + v = 8. What is the resulting equation after the first step in the solution?

Question illustration
A
v +4 = 8 – v
Option A
B
v +4 = 8
Option B
C
4 + v = 8 – v
Option C
D
2v + 4 = 8
7

On a coordinate plane, a dashed straight line has a negative slope and goes through (0, 3) and (2, negative 1). Everything to the left of the line is shaded.

Question illustration
A
y > 2x + 3
B
y < 2x + 3
C
y > −2x + 3
D
y < −2x + 3
8

Before any dinner service, the manager confirms when the number of reservations at a restaurant is subtracted from twice the number of loaves of bread on hand must be greater than 5. Which graph represents the overall equation represented by this scenario (all points may not apply to the scenario)?

A
On a coordinate plane, a dashed straight line has a positive slope and goes through (0, negative 5) and (3, 1). Everything to the right of the line is shaded.
Option A
B
On a coordinate plane, a dashed straight line has a positive slope and goes through (0, negative 5) and (3, 1). Everything to the left of the line is shaded.
Option B
C
On a coordinate plane, a dashed straight line has a negative slope and goes through (negative 3, 1) and (0, negative 5). Everything to the left of the line is shaded.
Option C
D
On a coordinate plane, a dashed straight line has a negative slope and goes through (negative 3, 1) and (0, negative 5). Everything to the right of the line is shaded.
Option D
9

Bianca wrote the steps for her solution to the equation 2.3 + 8(1.3x – 4.75) = 629.9. She left out the description for the last step.What is the missing step of her solution?

Question illustration
A
Add 10.4 to both sides.
B
Add negative 10.4 to both sides.
C
Multiply both sides of the equation by 10.4.
D
Divide both sides of the equation by 10.4.
10

Solve the equation.2x − 3 + 4x = 21

A
x = −12
B
x = −6
C
x = 4
D
x = 6
11

What is the value of p in the linear equation ?

Question illustration
A
−4
B
−2
C
2
D
4
12

The questions in the first section on a test are worth 3 points and the questions in the second section are worth 5 points. Let x represent the number of correct questions from the first section, and let y represent the number of correct questions from the second section. Sydney earned more than 80 points on the test. The inequality representing her score is 3x+5y>80.

A
1
B
2
C
7
D
8
13

A ride at an amusement park has two options for cars, one that holds 6 passengers and one that holds 3 passengers. If the ride designer wants to make sure that each run holds at least 12 passengers, which graph represents the overall equation and shows the possible combinations of the number of 6-passenger cars, x, and the number of 3-passenger cars y (not all points may apply to the scenario)?

A
Option
B
Option
C
Option
D
Option
14

Working together, Melissa and Jing can mow a lawn in 5 hours. It would take Melissa 8 hours to do the job alone.

Question illustration
A
0.075
B
0.125
C
0.375
D
0.625
15

On a coordinate plane, a dashed straight line has a negative slope and goes through (0, 2) and (4, 0). Everything below and to the left of the line is shaded.

Question illustration
A
(2, 3)
B
(2, 1)
C
(3, –2)
D
(–1, 3)

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