AnswersSS-Math 7Writing Inequalities

Writing Inequalities — Unit test Answers

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1
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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.
2
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Mercedes receives a $25 gift card for downloading music and wants to determine how many songs she can purchase. Each downloaded song costs $1.29. Write and solve an inequality to determine m, the number of songs Mercedes can purchase. What is the approximate solution to the inequality? Round to the nearest whole number.

A
m less-than-or-equal-to 19
Option A
B
m greater-than-or-equal-to 19
Option B
C
m less-than-or-equal-to 32
Option C
D
m greater-than-or-equal-to 32
Option D
3

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
4

What is the solution to ?

Question illustration
A
x greater-than-or-equal-to negative 12
Option A
B
x greater-than-or-equal-to 12
Option B
C
x less-than-or-equal-to 12
Option C
D
x less-than-or-equal-to negative 12
Option D
5

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.
6

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.
7

Ellen drew a graph showing the solution to an inequality. Which inequality does Ellen’s graph show the solution to?

Question illustration
A
3.25 less-than 2.5 + r
Option A
B
3.25 greater-than 2.5 + r
Option B
C
Negative 3.25 less-than negative 2.5 + r
Option C
D
Negative 3.25 greater-than negative 2.5 + r
Option D
9

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
10

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
11

Which inequality represents the sentence below?The difference of –3.2 and the sum of a number and 19.1 is at most 14.2.

A
Negative 3.2 minus (x + 19.1) less-than-or-equal-to 14.2
Option A
B
Negative 3.2 minus x + 19.1 less-than-or-equal-to 14.2
Option B
C
Negative 3.2 minus (x + 19.1) greater-than-or-equal-to 14.2
Option C
D
Negative 3.2 minus x + 19.1 greater-than-or-equal-to 14.2
Option D
12

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
13

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.
15

Allen is running a marathon. He would like to finish the race in under 5.5 hours. He has already run 3 hours. The inequality represents the situation. Which number line shows how much longer Allen can run and still meet his goal?

Question illustration
A
A number line going from 0 to 3. An open circle is at 2.5. Everything to the left of the circle is shaded.
Option A
B
A number line going from 0 to 3. A closed circle is at 2.5. Everything to the left of the circle is shaded.
Option B
C
A number line going from 0 to 3. An open circle is at 2.5. Everything to the right of the circle is shaded.
Option C
D
A number line going from 0 to 3. A closed circle is at 2.5. Everything to the right of the circle is shaded.
Option D
16

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
17

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
18

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
19

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.

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