Answers FL-1205040-MJ Grade 7 Mathematics B -GFSolving Two-Step Equations

Writing Inequalities Answers

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

Twelve less than three times a number is greater than or equal to nine.

Twelve less than three times a number is at least nine.

Twelve minus the product of three and a number is greater than or equal to nine.

Twelve minus the product of three and a number is no more than nine.

Twelve minus the product of three and a number is no smaller than nine.

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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?

77 greater-than 5 + four-fifths t

77 greater-than-or-equal-to 5 + four-fifths t

77 less-than 5 + four-fifths t

77 less-than-or-equal-to 5 + four-fifths t

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?

Anja phrase should have stated “the difference of a number and 4” not “the difference of 4 and a number”.

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”.

Anja’s phrase should have ended with “less than –15”, not “at least –15”.

Anja’s phrase should have ended with “at most –15”, not “at least –15”.

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

p minus 1.4 greater-than 9.78

p minus 1.4 less-than 9.78

1.4 minus p greater-than 9.78

1.4 minus p less-than 9.78

Sal wrote the statement below to represent the inequality . Which words should Sal use to complete the verbal statement?The product of 8 and n decreased by 5 is _________________ 25.

less than

greater than

less than or equal to

greater than or equal to

Leticia spends $18.45 on a shirt. She spends at least $3.00 more than Humberto spends. If h represents the amount Humberto spends, which symbol can be used to complete the inequality below to represent this situation?

Greater-than-or-equal-to

Less-than-or-equal-to

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.

The inequality symbol is correct because she must spend less than $65.

The inequality symbol is incorrect because she can spend up to and including $65.

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.

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.

The inequality symbol is correct because she cannot spend more than $65.

Oliver completed his project in no more than twice the amount of time it took Karissa to complete her project. Oliver spent hours on his project. If k represents the amount of time that it took Karissa to complete her project, which inequality can be used to represent the situation?

4 and one-fourth less-than 2 k

4 and one-fourth less-than-or-equal-to 2 k

4 and one-fourth greater-than 2 k

4 and one-fourth greater-than-or-equal-to 2 k

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?