10
algebra

A number multiplied by 3 and increased by 5 is equal to the same number doubled and increased by 12. What is the number?

A

10

B

17

C

3.5

D

7

Correct Answer: D

Choice Ahoice D is the correct answer.

  1. Equation: 3x+5=2x+123x + 5 = 2x + 12
  2. Subtract 2x: x+5=12x + 5 = 12
  3. Subtract 5: x=7x = 7
  4. Verify: 21+5=2621 + 5 = 26 and 14+12=2614 + 12 = 26 ✓

Choice Ahoice C is incorrect because calculation error.

Choice Ahoice D is incorrect because calculation error.

Choice Ahoice C is incorrect because calculation error.

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Linear Functions Set 18