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Linear Equations in One Variable

SAT Math· difficulty 4/5

The equation ∣2x+a∣=8|2x + a| = 8 has solutions x=1x = 1 and x=−7x = -7. What is aa?

  • A

    55

  • B

    33

  • C

    88

  • D

    66

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Explanation

From 2(1)+a=8⇒a=62(1) + a = 8 \Rightarrow a = 6. Verify: ∣2(−7)+6∣=∣−8∣=8|2(-7) + 6| = |-8| = 8 ✓.

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