ISEE Word Problems Question 238: Answer and Explanation
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Question: 238
2. Which expression is equivalent to the expression (x – 4)(x + 5)?
- A. x2 – 20
- B. x2 + 1
- C. x2 – x – 20
- D. x2 + x – 20
Correct Answer: D
Explanation:
The answer is D
Use FOIL (First, Outside, Inside, Last) on the two factors: (x - 4)(x + 5) = (x2 + 5x - 4x - 20). Combine like terms: x2 + x - 20.
Plug in a number for x, such as x = 5, and solve: (5 - 4)(5 + 5) = (1)(10) = 10. Only choice (D) yields 10 when the value for x is plugged in.