AnswersMath 7 B M12 2526 S2Factoring Expressions

Factoring Expressions Answers

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1
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GCF(4, 16) = 2✔ 4816

Answers:
Selection 1:4
Selection 2:5
Selection 3:2
Selection 4:14x
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Question text not available

Answers:
Selection 1:4
Selection 2:5
Selection 3:2
Selection 4:14x
7

The expression 52x – 169 is equivalent to 13()

A
x + 13
B
x – 13
C
4x + 13
D
4x – 13
8

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).

9

Which expression is equivalent to ?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
4(1 + 3x)
Option D
10

Which is an equivalent expression?

A
17x (1 + y)
B
17x (1 – 2y)
C
17x (1 – y)
D
17x (1 + 2y)
11

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.
12

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.

14

Question text not available

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
15

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.

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