AnswersAZ-Algebra 1A MA101Solving One-Variable Inequalities

Solving One-Variable Inequalities — Unit test Answers

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21
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On the freeway, it is unsafe to drive too slowly or too quickly. The safest driving speeds on the freeway near Allan’s town were scientifically determined to be between the minimum and maximum speeds (in miles per hour) according to the equation |x – 55| = 4.2. Which equation can be used to determine the maximum safe driving speed?

A
x – 55 = 4.2
B
x – 55 = –4.2
C
x + 55 = 4.2
D
x + 55 = –4.2
22
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What interval includes all possible values of x, where –3(6 – 2x) ≥ 4x + 12?

A
(–∞, –3]
B
[–3, ∞)
C
(–∞, 15]
D
[15, ∞)
23

Sara wants to find the input value that produces the same output for the functions represented by the tables.

Question illustration
A
–2
B
–1
C
1
D
2
24

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.
25

Solve the inequality.2(4+2x)≥5x+5

A
x≤−2
B
x≥−2
C
x≤3
D
x≥3
26

Jill simplified the expression shown.4x – 2y – x + 5y – 8What is the coefficient of the x-term of the fully simplified expression?

A
3
B
4
C
6
D
8
27

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

A
zero
B
one
C
two
D
infinitely many
28

What value of x is in the solution set of the inequality –2(3x + 2) > –8x + 6?

A
–6
B
–5
C
5
D
6

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