Question

Which expressions are equivalent to 12 - 14/3t + 2/3t? Select ALL that apply. Please show how you got the answer.

a. 8t

b. 12-4t

c. -4(3 + t)

d. 4(t - 3)


e. 12 - 16/3t

f. -4(t - 3)

Answer 1

B and F

Explanation:

Equivalent expressions are expressions which in simplest form are equal. Simplify each expression to see each equals the simplest form of 12 - 14/3 t + 2/3 t.

12 - 14/3t + 2/3 t simplifies to 12 - 12/3t = 12 - 4t.

The options are:

a. 8t

b. 12-4t

c. -4(3 + t) = -12 - 4t

d. 4(t - 3) = 4t - 12

e. 12 - 16/3t

f. -4(t - 3) = -4t + 12

b and f are equivalent