Algebra Practice Worksheet

Welcome to your algebra practice workspace. This guide is designed to help you build and test your skills across three progression levels.

A quick tip: Algebra is all about balance. What you do to one side of the equation, you must do to the other. Have your scratch paper ready, don't rush the steps, and remember that analyzing mistakes is a crucial part of training your mathematical brain.

Complete the details below before you begin.


Level 1: Algebraic Foundations #

This section covers linear equations, basic inequalities, and finding line features.

Worked Example: Solving a Linear Equation #

To solve for xx in the equation: 3x7=113x - 7 = 11

  • 1.
    Add 7 to both sides to isolate the variable term: 3x7+7=11+73x - 7 + 7 = 11 + 73x=183x = 18
  • 2.
    Divide by 3 on both sides to solve for xx: 3x3=183\frac{3x}{3} = \frac{18}{3}x=6x = 6
  • Use the timer below to pace yourself. Aim to complete this section within 15 minutes.

    Basics Timer
    15:00

    Practice Problems #

    Open question

    Solve for xx: 4x+9=254x + 9 = 25

    Single choice

    What is the slope of the linear equation y=3x+8y = -3x + 8?

    Open question

    Solve the inequality for xx: 2x+5<152x + 5 < 15. What is the boundary value (the number that xx must be less than)?

    Stuck on the Basics? Expand for Hints!

    Score Tracking #

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