SAT Math Multiple Choice Question 490: Answer and Explanation

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Test Information

Question: 490

10. If , what is the value of x?

  • A. x = -2
  • B. x = 2
  • C. There is no value of x for which the equation is true.
  • D. There are infinitely many values of x for which the equation is true.

Correct Answer: C

Explanation:

C

Difficulty: Medium

Category: Heart of Algebra / Linear Equations

Strategic Advice: Use the distributive property to simplify each of the terms that contains parentheses. Then use inverse operations to solve for x.

Getting to the Answer:

All of the variable terms cancel out, and the resulting numerical statement is false (because negative 2 does not equal positive 2), so there is no solution to the equation. Put another way, there is no value of x for which the equation is true.

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