AnswersSS-Math 7Writing Inequalities

Writing Inequalities Answers

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Which of the word phrases can be represented by the symbol ? Check all that apply.

Question illustration
A
below
B
at most
C
no greater than
D
no smaller than
E
minimum
2
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What fraction can be used to represent 75%?

A
3/4
B
7/10
C
4/3
D
7/5
3

Which inequality can be used to represent this situation?

A
(3x)/4 – 3 < 25
B
(3x)/4 + 3 < 25
C
(3x)/4 – 3 > 25
D
(3x)/4 + 3 > 25
4

Which is a possible translation of x 5?

Question illustration
A
A number is less than or equal to 5.
B
A number is at least 5.
C
A number is no more than 5.
D
A number is more than 5.
5

Which sentence represents the inequality -2b + 7 > 27.5?

A
Two times a number, plus seven, is less than twenty-seven and five tenths.
B
Two times a number, plus seven, is greater than twenty-seven and five tenths.
C
Negative two times a number, plus seven, is fewer than twenty-seven and five tenths.
D
Negative two times a number, plus seven, is greater than twenty-seven and five tenths.
6

Which inequality represents the sentence?The difference of seven and two tenths and a number is more than twenty nine.

A
7.2 - n > 29
B
n - 7.2 29
Option B
C
7.2 - n < 29
D
n - 7.2 < 29
7

Which sentences represent the inequality? Check all that apply. 2.1 + (-1.2x) 8

Question illustration
A
The sum of 2.1 and –1.2 times a number is at least 8.
B
The sum of 2.1 and –1.2 times a number is no more than 8.
C
The sum of 2.1 and –1.2 times a number is a maximum of 8.
D
The sum of 2.1 and –1.2 times a number is greater than or equal to 8.
E
The sum of 2.1 and –1.2 times a number is a minimum of 8.
8

Which inequality represents the sentence?The sum of negative 3.2 and 1.5 times a number is a maximum of 8.6.

A
–3.2n + 1.5 8.6
Option A
B
–3.2n + 1.5 8.6
Option B
C
–3.2 + 1.5n 8.6
Option C
D
3.2 + 1.5n 8.6
Option D
9

Is the inequality correct?

A
Yes, because 477 and an unknown amount is less than 650.
B
No, because 477 and an unknown amount is greater than 650.
C
No, because the inequality symbol should be less than or equal to 650.
D
No, because x should be subtracted from 477.
10

Which inequality matches the situation?

A
12.95 + 4.95x < 75
B
12.95 + 4.95x 75
Option B
C
12.95x + 4.95 75
Option C
D
12.95x + 4.95 75
Option D
11

In words, what does Andrew want to be less than 25?

A
seventy-five percent of a number, plus three
B
seventy-five percent of a number, minus three
C
seventy-five percent of a number
D
seventy-five percent of a number times three
12

Which inequality symbol should he use? Why?

Answer:

/Explanation: He should use the greater than symbol, >. He would not beat his distance if he only ran 26.1 miles, so the greater than or equal to symbol would not be correct.

13

Michael is cutting a 100-yard ribbon into pieces 3.4 yards long. He says that an inequality that represents his project is 3.4x 100. Explain what this statement means, in words, and what each part of the inequality represents.

Answer:

/Explanation: The variable, x, is the number of pieces of ribbon Michael cuts. Since each piece is 3.4 yards long, 3.4x is the total length of all the pieces together. This total length cannot be more than the 100 yards of ribbon he has, so 3.4x must be less than or equal to 100.

14

Which did you include in your explanation? Check all that apply.

A
Use the greater than symbol.
B
His goal does not include running exactly 26.1 miles; he needs to run more than 26.1 miles.
C
Equality should not be part of the solution set.
15

Which did you include in your explanation? Check all that apply.

A
The number of pieces times the size of each piece is less than the length of the entire ribbon.
B
The inequality symbol means less than.
C
x represents the number of pieces.

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