AnswersSS-Math 7Writing Inequalities

Writing Inequalities Answers

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Which inequality represents the sentence below?The difference of a number and one and four tenths is more than nine and seventy-eight hundredths.

A
p minus 1.4 greater-than 9.78
Option A
B
p minus 1.4 less-than 9.78
Option B
C
1.4 minus p greater-than 9.78
Option C
D
1.4 minus p less-than 9.78
Option D
4

Kelsey had $65 to spend on books. Each book cost $5.50, and there was a $7.50 fee for shipping. She let b equal the number of books she can purchase and wrote the inequality to represent the situation. Which statements describe the reasoning used to determine if Kelsey’s inequality is correct? Select two options.

Question illustration
A
The inequality symbol is correct because she must spend less than $65.
B
The inequality symbol is incorrect because she can spend up to and including $65.
C
The expression 5.50b + 7.5 is correct because $5.50 per book is 5.50b and that is added to the shipping fee of $7.50 to determine the total purchase price.
D
The expression 5.50b + 7.5 is incorrect because $5.50 per book and $7.50 should be combined to $9.50b to determine the total purchase price.
E
The inequality symbol is correct because she cannot spend more than $65.
5

Madison represented the sentence “The product of 3 and the difference of and the quotient of a number and is at most 5” by using the inequality . Which best describes Madison’s error?

Question illustration
A
“The difference of –4 and the quotient of a number and –2” should be written as .
Option A
B
“The product of 3 and the difference of –4 and the quotient of a number and –2” should be written as .
Option B
C
The less than symbol should be replaced with the less than or equal to symbol.
D
The less than symbol should be replaced with the greater than symbol.
7

Jenny earned a 77 on her most recent test. Jenny’s score is no less than 5 points greater than of Terrance’s score. If t represents Terrance’s score, which inequality represents the situation?

Question illustration
A
77 greater-than 5 + four-fifths t
Option A
B
77 greater-than-or-equal-to 5 + four-fifths t
Option B
C
77 less-than 5 + four-fifths t
Option C
D
77 less-than-or-equal-to 5 + four-fifths t
Option D
8

Which phrases can be used to represent the inequality ? Select two options.

Question illustration
A
Twelve less than three times a number is greater than or equal to nine.
B
Twelve less than three times a number is at least nine.
C
Twelve minus the product of three and a number is greater than or equal to nine.
D
Twelve minus the product of three and a number is no more than nine.
E
Twelve minus the product of three and a number is no smaller than nine.
9

Which sentence can represent the inequality ?

Question illustration
A
The quotient of a number and 4.2 is less than or equal to 21.
B
The quotient of a number and 4.2 is less than 21.
C
The quotient of 4.2 and a number is less than or equal to 21.
D
The quotient of 4.2 and a number is less than 21.
10

Anja represents the inequality with the phrase “the quotient of the difference of 4 and a number and 8 is at least –15.” Which describes Anja’s error?

Question illustration
A
Anja phrase should have stated “the difference of a number and 4” not “the difference of 4 and a number”.
B
Anja phrase should have stated “the quotient of a number and 8” not “the quotient of the difference of 4 and a number and 8”.
C
Anja’s phrase should have ended with “less than –15”, not “at least –15”.
D
Anja’s phrase should have ended with “at most –15”, not “at least –15”.

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