Question

Which expression is equivalent to -
1/5(10x + 15) - 2?

Responses
A -2x – 1
B -2x – 4
C -2x – 3
D -2x – 5

Answer 1

Which expression is equivalent to -4(y – 7)?
Responses
A -4y - 28
B -4y - 7
C -4y - 11
D -4y + 28

Answer 2

To simplify the expression, we distribute the 1/5 to both terms inside the parentheses:

1/5(10x + 15) = (1/5)(10x) + (1/5)(15) = 2x + 3

Now we can substitute this value back into the original expression and simplify further:

2x + 3 - 2 = 2x + 1

Therefore, the equivalent expression is -2x - 1.

The correct answer is A) -2x - 1.

Answer 3

To simplify the expression, we distribute the -4 to both terms inside the parentheses:

-4(y - 7) = -4 * y - 4 * (-7) = -4y + 28

Therefore, the equivalent expression is -4y + 28.

The correct answer is D) -4y + 28.