Question

NEED AL THESE ANSWERED!!! 15 POINTS!!!

Simplify the expressions:

① -4c - 6d + 9c + 2d

Select one:
a. 5c - 4d
b. -5c - 4d
c. -4c + 5d
d. 5c + 4d

② 2(-y + 9) + 8y

Select one:
a. -6y + 18
b. -6y + 9
c. 6y + 18
d. 24y

③ -3(-4y + 5) - 8y

Select one:
a. -4y + 5
b. -11y
c. 4y - 15
d. -4y - 15

④ 6c - 8d + 3c +4d

Select one:
a. 9c - 4d
b. -4c + 9d
c. -9c - 4d
d. 9c + 4d

Answer 1

Number one:

-4c - 6d + 9c + 2d

~Combine like terms

(-4c + 9c) + (-6d + 2d)

~Simplify

5c - 4d (Option A)

Number two:

2(-y + 9) + 8y

~Distribute

-2y + 18 + 8y

~Combine like terms

(-2y + 8y) + 18

~Simplify

6y + 18 (Option C)

Number three:

-3(-4y + 5) - 8y

~Distribute

12y - 15 - 8y

~Combine like terms

4y - 15 (Option C)

Number four:

6c - 8d + 3c + 4d

~Combine like terms

(6c + 3c) + (-8d + 4d)

~Simplify

9c - 4d (Option A)

Best of Luck!