SAT Math Multiple Choice Question 490: Answer and Explanation
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
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.