List of top Quantitative Aptitude Questions on Linear Equations asked in GRE

The distance from Centerville to a freight train is given by the expression $-10t + 115$, and the distance from Centerville to a passenger train is given by the expression $-20t + 150$. The expressions above give the distance from Centerville to each of two trains $ t $ hours after 12:00 noon. At what time after 12:00 noon will the trains be equidistant from Centerville?

Jon invested part of 16,000 at 3% and the rest at 5% for a total return of $680.
Quantity A: The amount Jon invested at 5% interest
Quantity B: The amount Jon invested at 3% interest

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?

A theme park charges 10 for adults and 5 for kids. How many kids tickets were sold if a total of 548 tickets were sold for a total of $3750?

Given the system of equations:
$x + y = 12$
$2x - y = 6$

Quantity A: x
Quantity B: y

Given the system of equations:
$3x + 4y = 5$
$x - y = 6$

Quantity A: x
Quantity B: y

If $14x - 16y = 16$ and $yz = 12$, then what is the value of $3x - z$?

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

Solve for z: $3(z + 4) - 7 = 17$

Given:
$y = x^2 - 10$
$y = 15$

Quantity A: $y/3$
Quantity B: x

If 6h - 2g = 4g + 3h, in terms of g, h = ?

Audrey, Penelope and Clementine are all sisters. Penelope is 8 years older than Clementine and 2 years younger than Audrey. If the sum of Penelope and Clementine's age is Audrey's age, how old is Clementine's age?

If $3x + y = 13$ and $x - 2y = -12$, what is the value of x?

Find the intersection of the following two equations:
3x + 4y = 6
15x - 4y = 3

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

Given the equations $x30y=4$ and $1797+3y=15x$, compare Quantity A and Quantity B.
Quantity A: y
Quantity B: 1

Solve for $x$: $14x = 256$.

The system of equations is: \[ 7x + 3y = 12 \\ 3x + 7y = 6 \] If $x$ and $y$ satisfy the system of equations, what is the value of $x - y$?

The total amount of Judy’s water bill for the last quarter of the year was $\$ 40.50$. The bill consisted of a fixed charge of $\$ 13.50$ plus a charge of $\$ 0.0075$ per gallon for the water used in the quarter. For how many gallons of water was Judy charged for the quarter?

If $ 4x + 3x - 2(x + 5) = -9 $, then $ x = ? $

If $ x = 55 $, $ x + y = 23 $, and $ y - x = 2 $, find the value of $ 2x + y $.

Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given, and select one of the four answer choices: A symbol that appears more than once in a question has the same meaning throughout the question. \[ 10y + 20x = 50 \]