Question

Subtract (–3f + 1.9) – (0.2 – 6f ).

A. –9f + 1.7
B. 3f + 1.7
C. 3f + 2.1
D. –9f + 2.1

Answer 1

B. 3f + 1.7

Explanation:

(–3f + 1.9) – (0.2 – 6f )

Note: the '-' before the second bracket set tells us we must multiply everything in there by '-1', which means we change the sign of all the terms in the second bracket set.

–3f + 1.9 – 0.2 + 6f

Now we group similiar terms together

6f-3f + 1.9-0.2

And subtract!

3f+1.7

Answer 2

Answer: B. 3f+1.7

Let's simplify step-by-step.

−3f+1.9−(0.2−6f)

Distribute the Negative Sign:

=−3f+1.9+−1(0.2−6f)

=−3f+1.9+(−1)(0.2)+−1(−6f)

=−3f+1.9+−0.2+6f

Combine Like Terms:

=−3f+1.9+−0.2+6f

=(−3f+6f)+(1.9+−0.2)

=3f+1.7