List of top Quantitative Aptitude Questions on Algebra asked in GRE

If \( 3x + 2 = 11 \), what is the value of \( x \)?
Simplify the expression: \( (3x - 2)(2x + 5) \)
Solve for \( z \) if \( 4z - 7 = 3z + 5 \).
What is the value of \( x \) in the equation \( 2(x + 3) = 5x - 4 \)?
If \( \frac{7}{4} x = 8 \), what is \( x \)?
If \[ g(x) = 2x^2 - 5x + 3, \text{ find } g(2). \]
Solve for \( x \): \[ x^2 - 6x + 9 = 0 \]
Solve for \( x \) if \( 3x + 2 = 14 \).
Simplify the expression \( 4(x - 3) + 5 \).
If \( x \) is inversely proportional to \( y \) and \( x = 8 \) when \( y = 2 \), what is \( x \) when \( y = 4 \)?
Solve for \( y \): \( y^2 - 9 = 0 \).
If \( f(x) = x^3 - 4x + 1 \), find \( f(-2) \).
If \( \frac{3}{5}x - 2 = 1 \), what is \( x \)?
If the average (arithmetic mean) of five consecutive integers is 25, what is the largest of these integers?
A number is decreased by 40% and the result is 72. What was the original number?
A certain job pays \(\(\(\$\)\)\)24 per hour for the first 40 hours worked in a week and 1.5 times that rate for any additional hours. If an employee earns \(\(\(\$\)\)\)1,260 in one week, how many total hours did they work?
If \( x^2 - 9 = 16 \), what are the values of \( x \)?
Solve for \( x \): \[ \frac{2}{x} + \frac{3}{x} = \frac{10}{15} \]
A dataset has the following values: 10, 12, 15, 15, 20, 22. What is the range and the median of the dataset?
If \( x^2 - 4x + 4 = 0 \), what is the sum of the roots?
If \( 3x + 2y = 6 \) and \( 2x - y = 4 \), what is \( x + y \)?
If \( x^2 - 6x + 9 = y \), what is the value of \( y \) when \( x = 4 \)?
Solve for \( x \) if \( \frac{x + 2}{x - 3} = 2 \).
If \( x \) is an even integer and \( y = 3x + 5 \), which of the following must be odd?
If \( f(x) = 2x^2 - 3x + 4 \), what is \( f(2) - f(-2) \)?