Question

Which of the following expressions are equivalent to -8t - 32? Select all that apply.

Option 1: -2(4t - 32)
Option 2: -4(2t + 8)
Option 3: -2(4t + 16)
Option 4: -8(t + 4)
Option 5: -4(2t - 8)

Answer 1

The expressions that are equivalent to -8t - 32 are options 2, 3, and 4.

Step-by-step explanation:

To determine which of the given expressions are equivalent to -8t - 32, we can simplify each expression and compare them to the given expression. Let's go through each option:

1. -2(4t - 32) = -8t + 64. Not equivalent.
2. -4(2t + 8) = -8t - 32. Equivalent.
3. -2(4t + 16) = -8t - 32. Equivalent.
4. -8(t + 4) = -8t - 32. Equivalent.
5. -4(2t - 8) = -8t + 32. Not equivalent.

Therefore, the expressions that are equivalent to -8t - 32 are options 2, 3, and 4.