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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

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A, C.

[tex]14x+8-6x-7[/tex]

[tex]14x-6x+8-7[/tex]

[tex]8x+1[/tex]

[tex]4(x + 1) + 4x - 3[/tex]

[tex]4x+4+4x-3[/tex]

[tex]4x+4x-3+4[/tex]

[tex]8x-1[/tex]

TheAnimeGirl

Answers:

  • 14x+8-6x-7
  • 4(X+1)+4x-3

Option A and C are correct.

[tex]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[/tex]

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