Inequalities — Test Answers

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1
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How should Chloe interpret this solution?

A
She will have a minimum of 45 minutes available to practice.
B
She will have a maximum of 45 minutes available to practice.
C
She will have more than 45 minutes available to practice.
D
She will have fewer than 45 minutes available to practice.
2
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Sora correctly solved this inequality. negative 2 point 1 w is greater than 12 point 8 1 w is less than negative 6 point 1 Which graph matches the inequality?

A
Image with description A number line ranges from negative 6 point 5 to negative 5 point 8 by one tenths. An open circle is on negative 6 point 1. A ray is drawn from that circle pointing to the left.
B
Image with description A number line ranges from negative 6 point 5 to negative 5 point 8 by one tenths. A closed circle is on negative 6 point 1. A ray is drawn from that circle pointing to the right.
C
Image with description A number line ranges from negative 6 point 5 to negative 5 point 8 by one tenths. A closed circle is on negative 6 point 1. A ray is drawn from that circle pointing to the left.
D
Image with description A number line ranges from negative 6 point 5 to negative 5 point 8 by one tenths. An open circle is on negative 6 point 1. A ray is drawn from that circle pointing to the right.
3

What is the solution to 2 x minus 8 is less than 12 ?

A
x is less than 10
B
x is less than 40
C
x is less than 2
D
x is less than 8
4

Which graph represents the solution set of the inequality negative 14 point 5 is less than x ?

A
Image with description A number line ranges from negative 15 to negative 11 by one halves. Only integers are labeled. A closed circle is on negative 15. A ray is drawn from that circle pointing to the right.
B
Image with description A number line ranges from negative 15 to negative 11 by one halves. Only integers are labeled. An open circle is one tick mark to the left of negative 14. A ray is drawn from that circle pointing to the right.
C
Image with description A number line ranges from negative 15 to negative 11 by one halves. Only integers are labeled. A closed circle is on negative 14. A ray is drawn from that circle pointing to the right.
D
Image with description A number line ranges from negative 15 to negative 11 by one halves. Only integers are labeled. An open circle is one tick mark to the right of negative 14. A ray is drawn from that circle pointing to the right.
6

What is the solution to 4 x plus 6 is less than or equal to 18 ?

A
x is less than or equal to 96
B
x is less than or equal to 6
C
x is less than or equal to 48
D
x is less than or equal to 3
7

Which of the given answer choices has the same solution set as the inequality y minus 8 is less than or equal to negative 2 ?

A
y minus 8 plus 8 is less than negative 2 plus 8
B
y minus 8 plus 2 is less than or equal to negative 2 plus 2
C
y minus 8 plus 8 is greater than or equal to negative 2 plus 8
D
y minus 8 plus 2 is less than or equal to negative 2 plus 8
9

Which sentence can represent the inequality 2 point 4 times open paren 6 point 2 minus x close paren is greater than negative 4 point 5 ?

A
Two and four tenths multiplied by the difference of six and two tenths and a number is more than negative four and five tenths.
B
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.
C
Two and four tenths times six and two tenths minus a number is larger 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.
10

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

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

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 point 2 5 miles from her school. She rides an additional 2 point 5 miles for each trip, t , she makes around the park. Which inequality represents the situation?

A
5 2 6 point 2 5 plus 2 point 5 t is greater than 85
B
5 2 6 point 2 5 plus 2 point 5 t is less than or equal to 85
C
5 2 6 point 2 5 plus 2 point 5 t is less than 85
D
5 2 6 point 2 5 plus 2 point 5 t is greater than or equal to 85
12

What inequality is represented by this graph? Expand Image

A
x is greater than or equal to 6
B
x is less than or equal to 6
C
x is less than 6
D
x is greater than 6
14

Three-fourths of the employees at a bookstore came to a staff meeting. Less than 24 employees were at the meeting. The inequality representing this scenario is 3 fourths e is less than 24 , where e represents the total number of employees. Which graph shows the solution to the inequality?

A
Image with description A number line ranges from 16 to 20 by ones. An open circle is on 18. A ray is drawn from that circle pointing to the right.
B
Image with description A number line ranges from 30 to 34 by ones. An open circle is on 32. A ray is drawn from that circle pointing to the left.
C
Image with description A number line ranges from 30 to 34 by ones. An open circle is on 32. A ray is drawn from that circle pointing to the right.
D
Image with description A number line ranges from 16 to 20 by ones. An open circle is on 18. A ray is drawn from that circle pointing to the left.
16

Which solution set is graphed on the number line? Expand Image

A
x is less than 1
B
x is less than or equal to 1
C
x is greater than 1
D
x is greater than or equal to 1
18

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

A
4 and 9 tenths is less than 6 x plus 18 and 1 eighth
B
4 and 9 tenths minus 6 x is less than or equal to 18 and 1 eighth
C
6 x minus 4 and 9 tenths is less than or equal to 18 and 1 eighth
D
6 x minus 4 and 9 tenths is less than 18 and 1 eighth
19

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

A
2 plus n is greater than 14
B
2 plus n is less than or equal to 14
C
2 plus n is greater than or equal to 14
D
2 plus n is less than 14
20

What is the solution to 3 fourths A is greater than negative 16 ?

A
A is less than negative 21 and 1 third
B
A is less than 21 and 1 third
C
A is greater than negative 21 and 1 third
D
A is greater than 21 and 1 third

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