AnswersMath 7 B M12 2526 S2Factoring Expressions

Factoring Expressions Answers

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Check all that you included in your response.

A
The GCF of (4x + 32) = 4. It can be factored out.
B
Each term is divided by the GCF.
C
If you factor out the 4, the expression becomes (4)(x + 8).
3

Factor the expression 4x + 32. Explain each step you take in the process.

Answer:

The GCF of 4x and 32 is 4, so the first step is to divide each term by 4. The quotients are x and 8. The factored expression will be 4(x + 8).

4

Which expression is equivalent to ?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
4(1 + 3x)
Option D
5

Which is an equivalent expression?

A
17x (1 + y)
B
17x (1 – 2y)
C
17x (1 – y)
D
17x (1 + 2y)
6

What is Caleb’s error?

A
Caleb factored 3x2 incorrectly.
B
Caleb factored 9x incorrectly.
C
Caleb multiplied the factors in common by those not in common to each term.
D
Caleb did not make an error.
7

Jessica’s friend tried to find the side length of a square garden, but made a mistake:Can you identify and correct her error?

Question illustration
Answer:

Jessica forgot to factor from both terms. She should have divided 12/13 by 4 to find that the correct side length, which is 6x + 3/13.

9

Question text not available

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
10

The total bill of a meal at a restaurant is 25x – 115. Five friends agree to split the cost of the meal equally. What could you do to find the amount that each person must pay? Explain.

Answer:

Factor the GCF of five out of the total bill. Divide both terms of the expression by 5. The result is 5x – 23, which is the expression that can be used to find the amount each person pays.

11

Check all that you included in your response.

A
She forgot to factor both terms inside the parentheses.
B
She needs to divide the fraction by 4.
C
The correct side length is .
Option C

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Factoring Expressions Answers — Math 7 B M12…