AnswersPre-Algebra - Gruber 2025Multiplication and Division Equations

Multiplication and Division Equations Answers

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1
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Which equation is equivalent to 4.5 = 2a?

A
a = 2.5
B
a = 2.25
C
4.5a = 2
D
a + 2 = 4.5
3

x = .

Answer:

4.3

4

What property was used to solve the equation?

A
Property of opposites
B
Division property of equality
C
Addition property of equality
D
Multiplication property of equality
8

Which equation and solution is correct?

A
, and the total bill was $47.70.
Option A
B
, and the total bill was $127.20.
Option B
C
, and the total bill was $212.00.
Option C
D
, and the total bill was $132.50.
Option D
9

Explain the process to solve the equation. Use proper vocabulary in your explanation.

Question illustration
Answer:

Your goal is to isolate the x. This is a multiplication problem, so use the inverse operation, which is division. Divide both sides of the equation by 14 by multiplying by the reciprocal, 4. (− 58)(4) is − 52. Use substitution to check the answer. x = − 52

10

What is Clara’s error?

A
Clara should have divided by .
Option A
B
Clara should have added .
Option B
C
Clara should have multiplied by .
Option C
D
The solution is , not –14.
Option D
11

Sample response: Your goal is to isolate the x. This is a multiplication problem, so use the inverse operation, which is division. Divide both sides of the equation by 14 by multiplying by the reciprocal, 4. (− 58)(4) is − 52. Use substitution to check the answer. x = − 52 Select all that you included in your response.Use the inverse of multiplication, which is division, to isolate the variable.Check your answer using substitution.

A
Use the inverse of multiplication, which is division, to isolate the variable.
B
Check your answer using substitution.

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