Welcome to our collection of practice problems for math courses. Whether you're a student looking to reinforce your understanding or a teacher seeking resources for your students, we've got you covered.

Topics Covered

  • Algebra
    • Linear Equations
    • Quadratic Equations
    • Functions and Graphs
  • Geometry
    • Triangles
    • Circles
    • Constructions
  • Trigonometry
    • Right-Angled Triangles
    • Trigonometric Functions
    • Identities and Formulas
  • Calculus
    • Limits
    • Derivatives
    • Integrals

Practice Problems

Here are some practice problems for you to try:

Linear Equations

  1. Solve for ( x ): ( 2x + 5 = 19 )
  2. Solve for ( y ): ( 3y - 7 = 2y + 1 )

Quadratic Equations

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

Functions and Graphs

  1. Determine the domain and range of the function ( f(x) = \sqrt{x - 2} ).
  2. Sketch the graph of the function ( g(x) = -2x + 4 ).

More algebra problems

Triangles

  1. Find the missing angle in a triangle with angles measuring 45° and 90°.
  2. Calculate the area of a triangle with base 8 cm and height 5 cm.

More geometry problems

Trigonometry

  1. Find the value of ( \sin(60°) ).
  2. Solve for ( x ): ( \tan(x) = \sqrt{3} ).

More trigonometry problems

Calculus

  1. Find the derivative of ( f(x) = x^2 + 3x + 2 ).
  2. Integrate ( \int (2x + 1) , dx ).

More calculus problems

Tips for Solving Problems

  • Read the problem carefully: Make sure you understand what is being asked.
  • Start with the given information: Use the information provided to set up your equations.
  • Work step by step: Don't rush through the problem. Take your time to work through each step.
  • Check your answers: Once you have solved the problem, go back and check your work to make sure you have the correct answer.

Remember, practice makes perfect! Keep working through these problems, and you'll see your skills improve.

Math Problem