Question

Select ALL expressions that are equivalent to 10(2x + 8m).

A) 12C + 18m
B) 5(4.3 + 10m)
C) 20(x + 8m)
D) 2(10x + 40m)

A) B and D
B) A, B, and C
C) A and D
D) B and C

Answer 1

The expressions that are equivalent to 10(2x + 8m) are 20(x + 8m) and 2(10x + 40m). Therefore, the answer is B) A, B, and D.

Step-by-step explanation:

1. To find the expressions that are equivalent to 10(2x + 8m), we need to distribute the 10. This means multiplying 10 by both terms inside the parentheses. Doing so, we get 20x + 80m.
2. The expression 12C + 18m is not equivalent to 10(2x + 8m).
3. The expression 5(4.3 + 10m) is not equivalent to 10(2x + 8m).
4. The expression 20(x + 8m) is equivalent to 10(2x + 8m) after distributing the 20: 20x + 160m.
5. The expression 2(10x + 40m) is equivalent to 10(2x + 8m) after distributing the 2: 20x + 80m.
6. Therefore, the expressions that are equivalent to 10(2x + 8m) are 20(x + 8m) and 2(10x + 40m). Hence, the answer is B) A, B, and D.