Question

Determine which expressions are equivalent to 8x + 1 by selecting Yes or No. A 14x + 8 – 6x – 7 Yes No B 8(x + 1) Yes No C 4(x + 1) + 4x - 3 Yes No D 8x + 8 – x – 1 Yes No

Answer 1

Answers:

• 14x+8-6x-7
• 4(X+1)+4x-3

Option A and C are correct.

$solution \\ 14x + 8 - 6x - 7 \\ = 14x - 6x + 8 - 7 \\ = 8x + 1 \\ 8(x + 1) \\ = 8 \times x + 8 \times 1 \\ = 8x + 8 \\ 4(x + 1) + 4x - 3 \\ = 4x + 4 + 4x - 3 \\ = 4x + 4x + 4 - 3 \\ = 8x + 1 \\ 8x + 8 - x - 1 \\ = 8x - x + 8 - 1 \\ = 7x + 7$

Answer 2

A, C.

$14x+8-6x-7$

$14x-6x+8-7$

$8x+1$

$4(x + 1) + 4x - 3$

$4x+4+4x-3$

$4x+4x-3+4$

$8x-1$