Unit Test — Unit test Answers

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21
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Solve the following inequality. Which graph shows the correct solution?

Question illustration
A
A number line going from negative 77 to negative 67. An open circle is at negative 72. Everything to the right of the circle is shaded.
Option A
B
A number line going from negative 77 to negative 67. An open circle is at negative 72. Everything to the left of the circle is shaded.
Option B
C
A number line going from negative 7.7 to negative 6.8. An open circle is at negative 7.2. Everything to the right of the line is shaded.
Option C
D
A number line going from negative 7.7 to negative 6.8. An open circle is at negative 7.2. Everything to the left of the line is shaded.
Option D
22
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Jada is solving the equation shown below.Which is a possible first step to begin to simplify the equation? Select two options.

Question illustration
A
Divide both sides of the equation by –2.
B
Subtract 4 from both sides of the equation.
C
Multiply both sides of the equation by –2.
D
Distribute –2 over .
Option D
E
Distribute over .
Option E
23

Every seventh-grade student at Martin Middle School takes one world language class. One-tenth of the seventh-grade students take French. Eighteen seventh-grade students take French. Which equation represents s, the total number of seventh-grade students at the middle school?

A
18 = 0.1 s
Option A
B
18 = StartFraction 10 over s EndFraction
Option B
C
StartFraction s over 0.1 EndFraction = 18
Option C
D
10 s = 18
Option D
24

Yannick and Jean are playing a guessing game with integers. Yannick wrote these clues to help Jean guess the unknown integer.What is the value of the unknown integer, n?

Question illustration
A
8
B
9
C
19
D
22
25

Jade has $451.89 in her checking account. After 3 checks, each for the same amount, are deducted from her account, she has $358.92 left in her account. Assume she makes no other withdrawals or deposits. Which equations represent c, the amount of one check, in dollars? Select three options.

A
451.89 minus c = 358.92
Option A
B
451.89 minus 3 c = 358.92
Option B
C
358.92 + 3 c = 451.89
Option C
D
358.92 + c + c + c = 451.89
Option D
E
c = 3 (451.89 minus 358.92)
Option E
26

Emma read the statement “the quotient of six and a number, x, is the same as negative two times the difference of x and 4.5.” She translated it as shown below.What errors did Emma make? Select two options.

Question illustration
A
She should have used division to represent the quotient of six and x.
B
She should not have included an equal sign.
C
She should have used parentheses to show that is multiplied by .
Option C
D
She should have subtracted the difference from .
Option D
E
She should have used parentheses to show that is multiplied by .
Option E
27

Which graph represents the solution set of the inequality ?

Question illustration
A
A number line going from negative 13 to negative 7. An open circle is at negative 9. Everything to the left of the circle is shaded.
Option A
B
A number line going from negative 13 to negative 7. A closed circle is at negative 9. Everything to the left of the circle is shaded.
Option B
C
A number line going from negative 13 to negative 7. An open circle is at negative 9. Everything to the right of the circle is shaded.
Option C
D
A number line going from negative 13 to negative 7. A closed circle is at negative 9. Everything to the right of the circle is shaded.
Option D
28

Jenna created the graph below to represent the solution to the inequality .What error did she make?

Question illustration
A
She should have used an open circle at the end of the ray.
B
She should have pointed the arrow to the left.
C
She should have ended the ray with a circle at –5.
D
She should have ended the ray with a circle at –7.
29

Four friends share the profit of a lawn care service equally. The friends charge $45 per lawn and spend $30 of their total earnings on gasoline for the lawnmowers each week. Which inequality can be used to find m, the number of lawns they need to mow next week so that each person earns at least $275?

A
StartFraction 45 m minus 30 over 4 EndFraction greater-than-or-equal-to 275
Option A
B
StartFraction 45 m over 4 EndFraction minus 30 greater-than-or-equal-to 275
Option B
C
StartFraction 45 m minus 30 over 4 EndFraction less-than-or-equal-to 275
Option C
D
StartFraction 45 m over 4 EndFraction minus 30 less-than-or-equal-to 275
Option D
30

A high school coach needs to buy new athletic shorts for the 15 members of the basketball team. The coach must spend less than $200 and needs to determine how much he can spend per pair of shorts. Write and solve an inequality to determine the maximum price for each pair of shorts. What does the solution represent?

A
The coach may spend up to $13.33 per pair of shorts.
B
The coach may spend more than $13.33 per pair of shorts.
C
The coach may spend up to $14 per pair of shorts.
D
The coach may spend more than $14 per pair of shorts.

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