6
practice testMultiple Choice

Practice Test

Question 6 • Grade 7 Mathematics

Rico represents the inequality negative 3 times open paren the fraction with numerator 8 and denominator x minus 5 close paren is greater than negative 16 with the sentence “The product of negative 3 and the quotient of 8 and the difference of a number and 5 is at least negative 16 ” Which describes Rico’s error?

Answer
A
The expression is translated incorrectly. The numerator and the denominator of the division expression should be reversed.
B
The inequality symbol is translated incorrectly. The words “at least” should be represented as less than or equal to instead of greater than.
C
The expression is translated incorrectly. The order of the terms in the subtraction expression should be reversed.
D
The inequality symbol is translated incorrectly. The words “at least” should be represented as greater than or equal to instead of greater than.

Explanation

“At least negative 16” means the quantity can equal −16 or be greater than −16, so it is represented by ≥ −16. Rico used > −16, which excludes equality. The expression itself correctly represents the product of −3 and 8 divided by the difference x − 5; the error is the inequality symbol.

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