AnswersFL-1205040-MJ Grade 7 Mathematics B-CRUnit Test

Unit Test — Unit test Answers

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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
2
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Alexandria ate at most two hundred fifty calories more than twice the number of calories her infant sister ate. Alexandria ate eighteen hundred calories. If i represents the number of calories eaten by the infant, which inequality represents the situation?

A
1,800 less-than-or-equal-to 250 + 2 i
Option A
B
1,800 less-than 250 + 2 i
Option B
C
1,800 + 250 greater-than 2 i
Option C
D
1,800 + 250 greater-than-or-equal-to 2 i
Option D
3

For each babysitting job, Tamar charges $6 for bus fare plus $8 per hour. She only accepts babysitting jobs if the total charge is at least $30. What is the minimum number of hours for a babysitting job she would accept?

A
hours
Option A
B
3 hours
C
4 hours
D
hours
Option D
4

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
5

Which statements describe the graph of on a number line? Select three options.

Question illustration
A
There is an open circle on .
Option A
B
The graph contains the point 0
C
There is a closed circle on .
Option C
D
The arrow points to the left.
E
The arrow points to the right.
6

Which inequalities have the solution set graphed on the number line? Select two options.

Question illustration
A
x greater-than negative 2.1
Option A
B
Negative 2 greater-than-or-equal-to x
Option B
C
x greater-than-or-equal-to negative 2
Option C
D
Negative 2 less-than-or-equal-to x
Option D
E
x less-than-or-equal-to negative 2
Option E
7

Which inequalities are equivalent to ? Select three options.

Question illustration
A
n + 15 minus 15 less-than 22 minus 15
Option A
B
n + 15 less-than 22 minus 15
Option B
C
n + 15 minus 22 less-than 22 minus 22
Option C
D
n + 15 + 6 less-than 22 + 6
Option D
E
n + 15 minus 22 less-than 22
Option E
8

Ingrid mixes 3.6 pounds of almonds with some raisins to make a trail mix. She divides the trail mix into 12 equal portions. Each portion weighs 0.7 of a pound. How many pounds of raisins did she use to make the trail mix? Express the answer to the nearest tenth.

A
2.9
B
4.8
C
5.1
D
7.2
9

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
10

According to the properties of inequality, when should the inequality symbol be reversed when solving a two-step inequality in the form below?

Question illustration
A
when a is positive
B
when a is negative
C
when b is positive
D
when b is negative
11

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
12

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
13

Solve . Which of the following must be true about the inequality and the resulting graph? Select three options.

Question illustration
A
w less-than-or-equal-to 3.6
Option A
B
The arrow points left.
C
The arrow points right.
D
There is an open circle at 3.6.
E
There is a closed circle at 3.6.
14

What is the best first step in solving ?

Question illustration
A
Add to both sides.
Option A
B
Subtract from both sides.
Option B
C
Multiply both sides by and reverse the inequality symbol.
Option C
D
Divide both sides by 10 and reverse the inequality symbol.
15

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

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