Unit Test — Unit test Answers

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Which inequality represents the sentence below?Two more than a number is less than 14.

A
2 + n less-than-or-equal-to 14
Option A
B
2 + n less-than 14
Option B
C
2 + n greater-than-or-equal-to 14
Option C
D
2 + n greater-than 14
Option D
2
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Which is the solution to the inequality?

Question illustration
A
y greater-than-or-equal to negative 40
Option A
B
y less-than-or-equal to negative 40
Option B
C
y greater-than-or-equal to 14
Option C
D
y less-than-or-equal to 14
Option D
3

Sora correctly solved this inequality.Which graph matches the inequality?

Question illustration
A
A number line going from negative 6.5 to negative 5.8. An open circle is at negative 6.1. Everything to the right of the circle is shaded.
Option A
B
A number line going from negative 6.5 to negative 5.8. A closed circle is at negative 6.1. Everything to the left of the circle is shaded.
Option B
C
A number line going from negative 6.5 to negative 5.8. An open circle is at negative 6.1. Everything to the left of the circle is shaded.
Option C
D
A number line going from negative 6.5 to negative 5.8. A closed circle is at negative 6.1. Everything to the right of the circle is shaded.
Option D
4

What is the solution to ?

Question illustration
A
a greater-than negative 21 and one-third
Option A
B
a less-than negative 21 and one-third
Option B
C
a greater-than 21 and one-third
Option C
D
a less-than 21 and one-third
Option D
5

Which sentence can represent the inequality ?

Question illustration
A
Two and four tenths times six and two tenths minus a number is larger than negative four and five tenths.
B
Two and four tenths multiplied by the difference of six and two tenths and a number is more than negative four and five tenths.
C
The difference of six and two tenths and a number multiplied by two and four tenths is not less than negative four and five tenths.
D
The product of six and two tenths minus a number and two and four tenths is at minimum negative four and five tenths.
6

Arnob, Bella, Colin, Dante, and Erin are going to a baseball game. They have a total budget of $100.00 to spend. Each game ticket costs $17.50 and each drink costs $2.00. The inequality below relates x, the number of drinks the 5 friends could buy in all, with their ticket costs and budget.Which best describes the restrictions on the number of drinks they can buy?

Question illustration
A
They can buy only from 0 to 3 drinks, but no more.
B
They can buy only from 0 to 6 drinks, but no more.
C
They can buy only from 0 to 7 drinks, but no more.
D
They can buy only from 0 to 12 drinks, but no more.
7

What is the solution to ?

Question illustration
A
x less-than-or-equal-to 3
Option A
B
x less-than-or-equal-to 6
Option B
C
x less-than-or-equal-to 48
Option C
D
x less-than-or-equal-to 96
Option D
8

Which statements are true about the solution of ? Select three options.

Question illustration
A
x greater-than-or-equal-to negative 7
Option A
B
x less-than-or-equal-to negative 7
Option B
C
The graph has a closed circle.
D
–6 is part of the solution.
E
–7 is part of the solution.
9

Which solution set is graphed on the number line?

Question illustration
A
x greater-than-or-equal-to 1
Option A
B
x greater-than 1 and one-third
Option B
C
x less-than 1
Option C
D
x less-than-or-equal-to 1
Option D
10

Which inequality has an arrow pointing to the left when the solution set is graphed on a number line?

A
x less-than-or-equal to 5
Option A
B
4 less-than-or-equal-to x
Option B
C
x greater-than-or-equal-to negative 8
Option C
D
x greater-than 6
Option D
11

What is the solution to ?

Question illustration
A
x less-than 2
Option A
B
x less-than 8
Option B
C
x less-than 10
Option C
D
x less-than 40
Option D
12

Which inequality represents the sentence below?Four and nine tenths less than the product of a number and six is no more than eighteen and one-eighth.

A
4 and StartFraction 9 over 10 EndFraction minus 6 x less-than-or-equal-to 18 and StartFraction 1 over 8 EndFraction
Option A
B
6 x minus 4 and StartFraction 9 over 10 EndFraction less-than-or-equal-to 18 and StartFraction 1 over 8 EndFraction
Option B
C
4 and StartFraction 9 over 10 EndFraction less-than 6 x + 18 and StartFraction 1 over 8 EndFraction
Option C
D
6 x minus 4 and StartFraction 9 over 10 EndFraction less-than 18 and StartFraction 1 over 8 EndFraction
Option D
13

Which of the answer choices below has the same solution set as the inequality ?

Question illustration
A
y minus 8 + 8 greater-than-or-equal-to negative 2 + 8
Option A
B
y minus 8 + 8 less-than negative 2 + 8
Option B
C
y minus 8 + 2 less-than-or-equal-to negative 2 + 8
Option C
D
y minus 8 + 2 less-than-or-equal-to negative 2 + 2
Option D
14

Which graph shows the solution set for ?

Question illustration
A
A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the left of the circle is shaded.
Option A
B
A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the right of the circle is shaded.
Option B
C
A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the left of the circle is shaded.
Option C
D
A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the right of the circle is shaded.
Option D
15

Which graph represents the solution set of the inequality ?

Question illustration
A
A number line going from negative 15 to negative 11. An open circle is at negative 13.5. Everything to the right of the circle is shaded.
Option A
B
A number line going from negative 15 to negative 11. A closed circle is at negative 14. Everything to the right of the circle is shaded.
Option B
C
A number line going from negative 15 to negative 11. An open circle is at negative 14.5. Everything to the right of the circle is shaded.
Option C
D
A number line going from negative 15 to negative 11. A closed circle is at negative 15. Everything to the right of the circle is shaded.
Option D
16

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

Question illustration
A
A number line going from 3 to 13. An open circle is at 8. Everything to the right of the circle is shaded.
Option A
B
A number line going from 3 to 13. An open circle is at 8. Everything to the left of the circle is shaded.
Option B
C
A number line going from 3 to 13. A closed circle is at 8. Everything to the right of the circle is shaded.
Option C
D
A number line going from 3 to 13. A closed circle is at 8. Everything to the left of the circle is shaded.
Option D
17

Jessamine wants to ride her bike at least 85 miles per week. She rides to and from school 5 days per week. Her house is 6.25 miles from her school. She rides an additional 2.5 miles for each trip, t, she makes around the park. Which inequality represents the situation?

A
5 (2) (6.25) + 2.5 t less-than-or-equal-to 85
Option A
B
5 (2) (6.25) + 2.5 t less-than 85
Option B
C
5 (2) (6.25) + 2.5 t greater-than-or-equal-to 85
Option C
D
5 (2) (6.25) + 2.5 t greater-than 85
Option D
18

What inequality is represented by this graph?

Question illustration
A
x greater-than 6
Option A
B
x less-than-or-equal-to 6
Option B
C
x less-than 6
Option C
D
x greater-than-or-equal-to 6
Option D
19

Mariana receives a $20 gift card for downloading music and wants to determine how many songs she can purchase. Each downloaded song costs $1.29. If m represents the number of songs downloaded, which inequality represents the given situation?

A
20 m greater-than-or-equal-to 1.29
Option A
B
20 m less-than-or-equal-to 1.29
Option B
C
1.29 m less-than-or-equal-to 20
Option C
D
1.29 m greater-than-or-equal-to 20
Option D
20

Which is the solution to the inequality?

Question illustration
A
b less-than 2 and StartFraction 1 over 15 EndFraction
Option A
B
b greater-than 2 and StartFraction 1 over 15 EndFraction
Option B
C
b less-than 3 and StartFraction 2 over 15 EndFraction
Option C
D
b greater-than 3 and StartFraction 2 over 15 EndFraction
Option D

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