Grade 6 Algebra Worksheets
Free printable algebra practice for Grade 6 students. Generate problems, solve them on screen or paper, and download as PDF.
Practice Worksheet
Grade 6 Algebra Practice
Solve each problem. Show your work.
- 1.Solve for x: 3x = 9
- 2.Solve for x: 5x + 13 = 23
- 3.Evaluate 4x + 15 when x = 11.
- 4.Solve for x: 4x = 24
- 5.Solve for x: 7x + 7 = 84
- 6.Evaluate 4x + 12 when x = 13.
Show answer key
- Question 1: x = 3
- Question 2: x = 2
- Question 3: 59
- Question 4: x = 6
- Question 5: x = 11
- Question 6: 64
Free Practice Worksheets
Print, solve on paper, then upload a photo for AI feedback and feedback.
Build confidence with approachable problems
Solve each problem. Take your time.
- 1.Solve for x: x + 15 = 42
- 2.Solve for n: n - 27 = 13
- 3.Solve for y: 6y = 48
- 4.Solve for m: m / 4 = 12
- 5.Solve for a: 2a + 5 = 17
- 6.Solve for k: 3k - 8 = 10
A selection of topic skills
Solve each problem. Show your work.
- 1.Solve for x: x + 15 = 42
- 2.Simplify the expression: 3(n + 4) - 2n
- 3.Solve for y: 4y - 7 = 21
- 4.A movie ticket costs 12 dollars. If you have a coupon for 5 dollars off, the total cost for t tickets is given by the expression 12t - 5. How much would 4 tickets cost?
- 5.Sarah is saving for a new bike that costs 150 dollars. She has already saved 30 dollars and plans to save 10 dollars each week. Write and solve an equation to find how many weeks (w) it will take her to reach her goal.
- 6.Compare the two expressions by placing <, >, or = in the blank: 2(x + 5) ____ 2x + 5
Practise specific Algebra skills
What Your Child Will Learn
Grade 6 marks a student's formal introduction to algebra. Students learn to write and evaluate algebraic expressions using variables to represent unknown quantities, translating between words and symbols (e.g., 'five more than a number' becomes n + 5). They explore the concept of a variable as a placeholder that can represent many possible values.
Students also solve one-step equations using inverse operations, such as x + 7 = 12 or 4x = 20, connecting the process to the balance model of equality. Order of operations is reinforced within algebraic expressions, and students begin recognizing and extending patterns using algebraic rules. This year builds the conceptual bridge from arithmetic to algebraic thinking.
Skills Covered
- Writing algebraic expressions from word descriptions
- Evaluating expressions by substituting values for variables
- Solving one-step equations using inverse operations
- Understanding equality as a balance
- Applying order of operations within expressions
- Extending patterns using algebraic rules
Curriculum Aligned: Aligned with Strand C (Algebra): representing relationships using expressions and solving one-step equations.
Parent Tip: Frame variables as 'mystery numbers' in a balance — if x + 3 = 10, ask 'what number, plus 3, balances with 10?' This keeps equation-solving intuitive rather than mechanical.
What your child will practice
Practice core algebra skills aligned with Grade 6 curriculum standards, including problem-solving and conceptual understanding.
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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.