PSAT Math Grid-Ins Question 5: Answer and Explanation
Question: 5
z = 5 - 5[5z - 2(1 - z)]
In the equation above, what is the value of z?
Correct Answer: 5/12
Explanation:
The question asks for the value of z. Isolate z on one side of the equation. Follow order of operations, and start with the innermost parentheses. Distribute the number in front of the parentheses to get z = 5 - 5[5z - 2 + 2z]. Combine like terms in the brackets to get z = 5 - 5[7z - 2]. Distribute the number in front of the brackets to get z = 5 - 35z + 10. Combine like terms to get z = 15 - 35z. Add 35z to both sides to get 36z = 15. Divide both sides by 36 to get z = 
. Since that doesn't fit in the box, reduce the fraction to get 
. The correct answer is .
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