PSAT Math Grid-Ins Question 45: Answer and Explanation

Question: 45

If , what is the value of 9x + 10y ?

Correct Answer: 144

Explanation:

144

Difficulty: Easy

Category: Heart of Algebra/Linear Equations

Getting to the Answer: There is only one equation given and it has two variables. This means that you don't have enough information to solve for either variable. Instead, look for the relationship between the left side of the equation and the other expression that you are trying to find. Start by clearing the fractions by multiplying both sides of the original equation by 12. This yields the expression that you are looking for, 9 x + 10 y, so no further work is required—just read the value on the right-hand side of the equation:

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