Question

- Select the equivalent expressions. 71-9y and (7x - y) (9) 5 (3t - 6) and 15 - 30 4 (6a +86) and 10a + 126 16 + 72n and (2 + 9n) (8)​

Answer 1

D. 16 + 72n and (2 + 9n) (8)​

Explanation:

Select the equivalent expressions.

• 71 - 9y and (7x - y) (9)
• 5(3t - 6) and 15 - 30
• 4(6a +86) and 10a + 126
• 16 + 72n and (2 + 9n) (8)​

Distribute to find the equivalent expressions:

A.

71 - 9y and (7x - y) (9)

71 - 9y = 9(7x) + 9(-y)

71 - 9y = 63x - 9y

Not equivalent

B.

5(3t - 6) and 15 - 30

5(3t) + 5(-6) = 15 - 30

15t - 30

Not equivalent (it's missing the variable - t)

C.

4(6a + 86) and 10a + 126

4(6a) + 4(86) = 10a + 126

24a + 344 = 10a + 126

Not equivalent

D.

16 + 72n and (2 + 9n) (8)​

16 + 72n = 8(2) + 8(9n)

16 + 32n = 16 + 72n

Equivalent

Therefore the correct answer is D

Hope this helps!