PSAT Math Grid-Ins Question 6: Answer and Explanation
Question: 6
If 
, what is the value of z?
Correct Answer: 9
Explanation:
9
The question asks for the value of z. Isolate z on one side of the equation. Start by squaring both sides of the equation to get (5 - 
)(5 - ) = z - 5. Use FOIL on the left side to get 25 - 5 - 5 + z = z - 5. Combine like terms to get 25 - 10 + z = z - 5. Subtract z and 25 from both sides to get -10 = -30. Divide both sides by -10 to get = 3. Square both sides to get z = 9. The correct answer is 9.
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