Question

Which algebraic expression is equivalent to the expression below?

9(x - 6) + 11(x + 12)


A.
99x + 78

B.
20x + 5

C.
20x + 78

D.
20x + 186

Answer 1

C) 20x+78

Explanation:

9(x-6)+11(x+12)

9x-54+11x+132

20x-54+132

20x+78

Answer 2

Hey there! :)

To find out which algebraic expression is equivalent to our given expression, we must simplify everything out.

9(x - 6) + 11(x + 12)

Simplify by using the rainbow method. This just rids us of our parenthesis.

(9 · x) + (9 · -6) + (11 · x) + (11 · 12)

Simplify!

9x + (-54) + 11x + 132

Add like terms.

(9x + 11x) + (-54 + 132)

Simplify.

20x + 78

So, our equivalent equation is C. 20x + 78

~Hope I helped!~