Question

Simplify: –4(x – 5) + 3(a – 7)

A.
–4x + 3a + 41

B.
–4x + 3a + 1

C.
–4x + 3a – 1

D.
–4x + 3a – 41

Answer 1

−4(x−5)+3(a−7)

Distribute:

=(−4)(x)+(−4)(−5)+(3)(a)+(3)(−7)

=−4x+20+3a+−21

Combine Like Terms:

=−4x+20+3a+−21

=(3a)+(−4x)+(20+−21)

=3a+−4x+−1

Answer 2

-4 (x - 5) + 3 (a - 7)

First, expand your problem. / Your problem should look like: -4x + 20 + 3a - 21
Second, simplify. / Your problem should look like: -4x + 3a - 1

Answer: -4x + 3a - 1 (C)