MathsFreePrintable
Algebra Practice Mixed Problems
A free maths worksheet ready for your classroom. Open in Kuraplan to grab the print-ready PDF, customize it for your students, or generate a fresh version in seconds.
Algebra Practice Mixed Problems
📚 Part 1: Simplifying Expressions
Simplify each algebraic expression completely.
1. Simplify: 3x + 5x - 2x
2. Simplify: 4(2y - 3) + 5y
3. Expand and simplify: (x + 4)(x - 2)
4. Simplify: 2a²b × 3ab³
✏️ Part 2: Solving Linear Equations
Solve for the unknown variable. Show your working.
5. Solve: 3x + 7 = 22
6. Solve: 5(y - 2) = 3y + 8
7. Solve: (2x + 1)/3 = 5
🎯 Part 3: Quadratic Equations
Solve these quadratic equations using any appropriate method.
8. Solve by factoring: x² + 5x + 6 = 0
9. Solve using the quadratic formula: 2x² - 7x + 3 = 0
Reminder: x = (-b ± √(b² - 4ac)) / 2a
10. A rectangular garden has length (x + 3) metres and width (x - 1) metres. If the area is 35 square metres, find the value of x.
About This Worksheet
Free in Kuraplan
Sign up free, grab the PDF, and customize it for your class.
Print-Ready
Formatted for standard paper. Clean layout, easy to read.
AI-Generated
Created with Kuraplan's AI, designed for real classroom use.
For Teachers & Parents
Use in classrooms, for homework, tutoring, or homeschool.
Need a custom version of this worksheet?
Kuraplan's AI generates custom worksheets in seconds — differentiated for every learner, aligned to your curriculum.
Generate Custom Worksheets — Free No credit card Curriculum-aligned Under 60 seconds
