Question

An expression is shown.

6-2 (4x - 7)
Which of the following expressions are equivalent to the given expression? Select all that apply.
O O O O O
-8 (2+1)
-8.2 + 20
4 (4x - 7)
-4(2x – 5)
16x - 28
- 82 - 8

Answer 1

The expressions equivalent to 6-2(4x - 7) after simplification (20 - 8x) are -8x + 20 and -4(2x - 5).

Step-by-step explanation:

When assessing which expressions are equivalent to the expression 6-2(4x - 7), we must first simplify the original expression using the distributive property:

6 - 2*4x + 2*7

= 6 - 8x + 14

= 20 - 8x

Now, we compare this simplified form with each of the provided options:

• -8(2+1) simplifies to -24, which is not equivalent.
• -8.2 + 20 is a typo and it seems it should be -8x + 20, which is equivalent to 20 - 8x.
• 4(4x - 7) simplifies to 16x - 28, which is not equivalent.
• -4(2x - 5) simplifies to -8x + 20, which is equivalent to 20 - 8x.
• 16x - 28 does not match the simplified form and is not equivalent.
• - 82 - 8 is presumably a typo, but as written, it does not match the simplified form and is not equivalent.

Hence, the expressions equivalent to 6-2(4x - 7) are -8x + 20 and -4(2x - 5).