Question

Which value of "a" would make the following statement true? -4(2x - a) = -8x + 16

-16

-4

4

16

Use the distributive property to decide which of the following is equivalent to -3(4 - 2x)? Select all that apply.

(This question has more than one answer).

-3(4) - 2x


-3(4) - 3(-2x)


-12 + 6x


-6x

Answer 1

1. a = 4
2. -3(4) - 3(-2x); -12 + 6x

Explanation:

1) Using the distributive property, the equation simplifies to ...

-8x +4a = -8x +16

In order to make this true for all values of x, we must have ...

4a = 16

a = 4

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2) Distributing the -3 factor to the terms in parentheses, we get ...

-3(4) -3(-2x) . . . . . . . matches the 2nd choice

Carrying out the multiplication, we get ...

-12 +6x . . . . . . . . . . . matches the 3rd choice