Here are some algebra practice problems to help you sharpen your skills. If you find these challenging, don't worry! Everyone has to start somewhere. Remember, practice makes perfect!

Linear Equations

  1. Solve for ( x ): ( 2x + 5 = 11 )
  2. Solve for ( y ): ( 3y - 7 = 2y + 9 )

Quadratic Equations

  1. Solve for ( x ): ( x^2 - 5x + 6 = 0 )
  2. Solve for ( y ): ( y^2 + 4y - 12 = 0 )

Systems of Equations

  1. Solve the following system of equations: [ \begin{cases} 2x + 3y = 8 \ 5x - 2y = 9 \end{cases} ]

  2. Solve the following system of equations: [ \begin{cases} x + 2y = 7 \ 3x - y = 5 \end{cases} ]

Polynomial Functions

  1. Find the zeros of the polynomial ( f(x) = x^3 - 6x^2 + 11x - 6 ).
  2. Determine the degree and leading coefficient of the polynomial ( g(x) = 4x^4 - 7x^3 + 3x^2 + 2x - 1 ).

For more practice problems and resources, check out our Algebra Tutorial.

Algebra Equation