# Finding the Solution to an Equation

This is an MCQ-based quiz for GRE on How To Find The Solution To An Equation.

In general, a solution to an equation means the values which make the equation true.

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What is the value of (5 + x)(10 – y) when x = 3 and y = –3?

104 38 56 108

If x = 4, and y = 3x + 5, then 2y – 1 equals

15 22 47 33

Sarah’s current age is three times Ron’s age two years ago. Sarah is currently 14 years older than Ron. What is the sum of Sarah and Ron’s current age?

34 32 24 36

A store sells potatoes for \$0.24 and tomatoes for \$0.76. Fred bought 12 individual vegetables. If he paid \$6.52 total, how many potatoes did Fred buy?

7 2 8 5

Kim is twice as old as Claire. Nick is 3 years older than Claire. Kim is 6 years older than Emily. Their ages combined equal 81. How old is Nick?

13 27 17 22

If 6h – 2g = 4g + 3h In terms of g, h = ?

2g 5g 4g g 3g

If 2x + y = 9 and y – z = 4 then 2x + z = ?

5 13 21 29 Cannot be determined

11/(x – 7) + 4/(7 – x) = ?

(–7)/(7 – x) 15 15/(7 – x) 15/(x – 7) 7/(7 – x)

Jack has 14 coins consisting of nickels and dimes that total \$0.90. How many nickels does Jack have?

8 12 10 6 4

If a = 1/3b and b = 4c, then in terms of c, a – b + c = ?

–5/3c c 5/3c –11/3c

Sally is 2 years younger than Abby Daisy is 5 years older than Tracy Abby is 6 years older than Tracy A --- Sally"s age   B --- Daisy"s age

Quantity A is greater The two quantities are equal The relationship cannot be determined Quantity B is greater

Abby works at a car dealership and receives a commission "c" which is a percent of the profit the dealership makes from the sale, which is the difference between the price "p" of the car and the value "v" of the car. How much, in dollars, does the dealership earn per transaction?

(p – v)(1 – c) (p – v)(0.01c) p(v – 0.01c) pv(0.01c) (p – v)(1 – 0.01c)

A given university has an average professor pay of \$40,000 a year and an average administrator pay of \$45,000 per year. If the ratio of professors to administrators is 4 to 3, and the total pay for professors and administrators in a year is \$40,415,000, how many professors does the college have?

375 411 500 475 548

x>0 Quantity A: –5x + 4 Quantity B: 8 – 2x

The relationship cannot be determined from the information given. Quantity B is greater. The two quantities are equal. Quantity A is greater.

Two cars start 25 mile apart and drive away from each other in opposite directions at speeds of 50 and 70 miles per hour.  In approximately how many minutes will they be 400 miles apart?

187.5 None of the other answers 200 3.125 3.33
Quiz/Test Summary
Title: Finding the Solution to an Equation
Questions: 15
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