Grade 8 Algebra Worksheets
Free printable algebra practice for Grade 8 students. Generate problems, solve them on screen or paper, and download as PDF.
Practice Worksheet
Grade 8 Algebra Practice
Solve each problem. Show your work.
- 1.Solve for x: 4x = 40
- 2.Solve for x: 7x + 5 = 47
- 3.Evaluate 6x + 9 when x = 8.
- 4.Solve for x: 5x = 50
- 5.Solve for x: 7x + 14 = 56
- 6.Evaluate 4x + 12 when x = 10.
Show answer key
- Question 1: x = 10
- Question 2: x = 6
- Question 3: 57
- Question 4: x = 10
- Question 5: x = 6
- Question 6: 52
Free Practice Worksheets
Print, solve on paper, then upload a photo for instant AI grading and feedback.
Build confidence with approachable problems
Solve each problem. Take your time.
- 1.Solve for x: x + 7 = 15
- 2.Solve for y: 4y = 20
- 3.Solve for n: n / 3 = 6
- 4.Solve for x: 2x + 5 = 13
- 5.Solve for y: 3y - 4 = 11
- 6.Simplify the expression: 4x + 2x - 3x
Full range of grade expectations
Solve each problem. Show your work.
- 1.Solve for x in the equation: 3x + 7 = 22.
- 2.A right triangle has legs of length 6 cm and 8 cm. Use the Pythagorean theorem (a² + b² = c²) to find the length of the hypotenuse c.
- 3.Simplify the expression: 4(2n - 3) + 5n.
- 4.A cylinder has a radius of 3 cm and a height of 10 cm. Using the formula V = π × r² × h, calculate the volume (use 3.14 for π).
- 5.Sarah is saving money for a bike. She already has 45 and saves 15 each week. Write and solve an equation to determine how many weeks (w) it will take her to reach 180.
- 6.A rectangle has vertices at (1, 2), (4, 2), (4, 5), and (1, 5). If you translate this rectangle by the rule (x + 2, y - 3), what are the new coordinates of the vertex that started at (4, 5)?
Practise specific Algebra skills
Skill map
How algebra skills connect
Shore up what feeds in, work through the core skills in order, then move on to what they unlock. A means the skill has an instant answer checker.
Build up first
Core skills — in order
What Your Child Will Learn
Grade 8 algebra is where students consolidate equation-solving skills and strengthen the bridge from patterns to linear relationships. They solve multi-step equations involving variables on both sides, fractions, and decimals, and they learn to verify solutions by substituting back into the original equation.
Students connect growing patterns to tables, graphs, and rules, preparing for the more formal linear relations work of Grade 9. They also work with algebraic expressions involving exponents, simplify expressions by combining like terms, and solve real-world problems that require setting up and solving equations from scratch.
Skills Covered
- Solving multi-step equations with variables on both sides
- Solving equations involving fractional or decimal coefficients
- Verifying solutions by substitution
- Introducing linear relations (y = mx + b) and slope
- Simplifying polynomial expressions with multiple variables
- Setting up and solving equations from real-world problems
Curriculum Aligned: Aligned with Strand C (Algebra): solving multi-step linear equations and representing linear relationships algebraically and graphically.
Parent Tip: Have your child check every equation answer by substituting it back in — this single habit catches most algebra mistakes and builds the verification skill that high school math expects.
What your child will practice
Practice core algebra skills aligned with Grade 8 curriculum standards, including problem-solving and conceptual understanding.
Want Personalized Algebra Practice?
Create a free family account for one personalized worksheet and one homework check, with saved work and progress for every learner. Premium unlocks unlimited AI practice and homework checks.
Create a Free AccountFinished the worksheet? Get it checked in seconds
Snap a photo of your child's completed Grade 8 algebra work and Gradulo checks every answer with step-by-step feedback.
Check my workFrequently Asked Questions
Is my child ready for algebra?
If your child is comfortable with arithmetic operations and can work with unknowns (like 'what number plus 3 equals 7?'), they have the foundation for algebra.
How is algebra taught differently now?
Modern curricula introduce algebraic thinking early through patterns and variables, rather than waiting until high school. This builds familiarity gradually.
What are the key algebra skills by grade?
Grades 6-7: expressions, one-step equations. Grade 8: linear equations, slope. Grade 9: quadratics, systems. Grades 10-12: polynomials, functions, advanced topics.