ISEE Word Problems Question 172: Answer and Explanation
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Question: 172
3. If 4a – 4 = ab – b and a ≠ 1, what is the value of b ?
- A. –4
- B. –1
- C. 0
- D. 4
Correct Answer: D
Explanation:
The answer is D
Factor common terms from the expressions on both sides of the equation: 4(a - 1) = b(a - 1). Next divide both sides by (a - 1): b = 4.
Because a can be anything other than 1, plug in for a. If a = 2, then (4)(2) - 4 = 2b - b. Thus, 4 = b. If you are not convinced, try another value for a. If a = 0, then (4)(0) - 4 = (0)(b) - b. Thus, -4 = -b, or 4 = b.