Question

Use the expression 8a + 16c.

Part A
Factor the expression using the GCF.
A. 2(4a + 8c)
B. 4(2a + 4c)
C. 8(a + 2c)
D. 16(12a + c)
Part B
What is the value of the expression when a = –5 and c = –1? Enter your answer in the box.

Answer 1

SOLUTION

TO DETERMINE

Use the expression 8a + 16c.

Part A

Factor the expression using the GCF.

A. 2(4a + 8c)

B. 4(2a + 4c)

C. 8(a + 2c)

D. 16(12a + c)

Part B

What is the value of the expression when

a = - 5 and c = - 1

EVALUATION

PART : A

Here the given expression is 8a + 16c

Now

$\sf{8a = 2 \times 2 \times 2 \times a}$

$\sf{16c = 2 \times 2 \times 2 \times 2 \times c}$

Hence GCF = 2 × 2 × 2 = 8

Therefore 8a + 16c = 8(a + 2c)

Hence the correct option is C. 8(a + 2c)

PART : B

Here the given expression is 8a + 16c

Now when a = - 5 and c = - 1 we get

$\sf{8 \times ( - 5) + 16 \times ( - 1)}$

$\sf{ = - 40 - 16}$

$\sf{ = - 56}$

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Answer 2

Answer:

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