List of top Quantitative Aptitude Questions on Algebra asked in GRE

Simplify the expression: \( 3(x - 2) + 4 \).
If \( x \) is directly proportional to \( y \) and \( x = 10 \) when \( y = 2 \), what is \( x \) when \( y = 8 \)?
If \( 2x + 3 = 9 \), what is the value of \( x \)?
If \( a \) and \( b \) are positive integers such that \( a \times b = 36 \), and \( a \) is 3 less than twice \( b \), what is the value of \( a + b \)?
Solve for \( y \): \( 2y - 7 = 3y + 4 \).
If \( f(x) = x^2 - 3x + 2 \), find \( f(2) \).
Expand the expression \( (x + 3)(x - 2) \).
If \( x^2 = 16 \), what are the possible values 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 \( 3x + 2 = 11 \), what is the value of \( x \)?
If \[ g(x) = 2x^2 - 5x + 3, \text{ find } g(2). \]
If \( \frac{7}{4} x = 8 \), what is \( x \)?
Solve for \( x \): \[ x^2 - 6x + 9 = 0 \]
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 \( x \) if \( 3x + 2 = 14 \).
If \( \frac{3}{5}x - 2 = 1 \), what is \( x \)?
Solve for \( y \): \( y^2 - 9 = 0 \).
If \( f(x) = x^3 - 4x + 1 \), find \( f(-2) \).

Simplify the expression \( \frac{5x}{2x} + \frac{3}{2x} \). 

Solve for \( y \): \( 4y - 3(2y + 1) = 5 \). 

Expand the expression \( (2x - 3)(x + 4) \).

If \( x^2 - 5x + 6 = 0 \), what are the possible values of \( x \)?