AnswersPre-Algebra - Gruber 2025Multiplication and Division Equations

Multiplication and Division Equations Answers

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3

Jada solved the equation for x using the steps below. What was Jada’s error?

Question illustration
A
Jada should have multiplied both sides of the equation by 108.
B
Jada should have multiplied both sides of the equation by .
Option B
C
The product of and is not equal to .
Option C
D
The product of and 108 should have been the value of x.
Option D
4

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
5

Evelyn bought 8.4 gallons of gas for $23.94. Which equation can be used to determine the price of each gallon of gas?

A
8.4x = 23.94
B
StartFraction x over 8.4 EndFraction = 23.94
Option B
C
23.94 x = 8.4
Option C
D
StartFraction x over 23.94 EndFraction = 8.4
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
9

Adam’s car traveled 465.3 miles on 16.5 gallons of gas. Which equation can be used to determine the average number of miles that the car traveled on each gallon of gas?

A
16.5x = 465.3
B
StartFraction x over 16.5 EndFraction = 465.3
Option B
C
465.3 x = 16.5
Option C
D
StartFraction x over 265.3 EndFraction = 16.5
Option D

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