AnswersSS-Math 7Writing Inequalities

Writing Inequalities Answers

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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
3

A class has $90 to spend on a field trip. The field trip costs $2.50 per person and there will be 5 chaperones on the trip. One student used the inequality to find x, the number of students that the field trip budget could accommodate. Which best describes the error in the student’s inequality?

Question illustration
A
The expression representing the cost should be .
Option A
B
The expression representing the cost should be .
Option B
C
The inequality symbol should be instead of > since up to and including $90 may be spent.
Option C
D
The inequality symbol should be instead of > since less than or equal to $90 may be spent.
Option D
7

Which sentence can represent the inequality ?

Question illustration
A
The sum of 3.5 and a number is greater than 7.
B
The sum of 3.5 and a number is greater than or equal to 7.
C
The product of 3.5 and a number is greater than 7.
D
The product of 3.5 and a number is greater than or equal to 7.
9

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.
10

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.

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