AnswersPre-Algebra - Gruber 2025Multiplication and Division Equations

Multiplication and Division Equations Answers

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Sameer chose 12 different toppings for his frozen yogurt sundae, which was of the total number of different toppings available at the make-your-own sundae shop. To determine the number of different toppings available at the shop, Sameer set up and solved the equation as shown below.Which best describes the error that Sameer made?

Question illustration
A
Sameer did not use the correct equation to model the given information.
B
Sameer should have multiplied both sides of the equation by instead of by 12.
Option B
C
The product of (12) is not equal to 9.
Option C
D
The product of and should have been the value of x.
Option D
7

Mia spent 30 minutes answering the math questions on the exam. This was of the total amount of time allotted for this section of the exam. To determine the total amount of time allotted for this section of the exam, Mia set up and solved the equation as shown below.Which best describes the error that Mia made?

Question illustration
A
Mia did not use the correct equation to model the given information.
B
Mia should have multiplied both sides of the equation by .
Option B
C
The product of is not equal to 18.
Option C
D
The product of and should have been the value of x.
Option D
8

Three-fifths of the members of the Spanish club are girls. There are a total of 30 girls in the Spanish club. Which statements can be used to solve for x, the total number of members in the Spanish club? Select three options.

A
Three-fifths x = 30
Option A
B
Three-fifths = StartFraction x over 30 EndFraction
Option B
C
Three-fifths (Five-thirds) x = 30 (five-thirds)
Option C
D
(Three-fifths (five-thirds) x = 30 (five-thirds)
Option D
E
x = 50
10

Which shows how to solve the equation for x in one step?

Question illustration
A
Three-fourths (four-thirds) x = negative 6 (four-thirds)
Option A
B
Three-fourths (4) x = negative 6 (4)
Option B
C
Three-fourths (4) x = negative 6 (3)
Option C
D
Three-fourths (four-thirds) x = negative 6 (three-fourths)
Option D

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