Grade 7 Algebra Worksheets
Free printable algebra practice for Grade 7 students. Generate problems, solve them on screen or paper, and download as PDF.
Practice Worksheet
Grade 7 Algebra Practice
Solve each problem. Show your work.
- 1.Solve for x: 7x = 70
- 2.Solve for x: 3x + 9 = 30
- 3.Evaluate 3x + 1 when x = 4.
- 4.Solve for x: 4x = 40
- 5.Solve for x: 8x + 8 = 104
- 6.Evaluate 5x + 6 when x = 3.
Show answer key
- Question 1: x = 10
- Question 2: x = 7
- Question 3: 13
- Question 4: x = 10
- Question 5: x = 12
- Question 6: 21
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 + 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 m: 3m - 4 = 11
- 6.Solve for p: p / 2 + 3 = 9
A selection of topic skills
Solve each problem. Show your work.
- 1.Solve for x: 3x - 7 = 14
- 2.A store is having a sale where all items are discounted by 25%. If a jacket originally costs 80, write and solve an equation to find the sale price (s).
- 3.Simplify the expression: 4(2n - 3) + 5n
- 4.A map uses a scale where 2 centimeters represents 15 kilometers. If two cities are 8 centimeters apart on the map, how many kilometers apart are they in reality? Use a proportion to solve.
- 5.Solve for y: y/4 + 6 = 10
- 6.Compare the two expressions by placing <, >, or = in the blank: 2(x + 3) ____ 2x + 3
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
Learn with examples, then practise on paper
Open these free lessons for visual examples, printable worksheets and worked answers. No account is needed. Number lines and coordinates help build foundations for algebra. These are practice resources; completing one does not establish mastery of a whole topic.
Browse all free math resources →What Your Child Will Learn
In Grade 7, algebra advances to two-step equations and more complex expression simplification. Students solve equations like 3x + 5 = 20 by working backward through operations, and they simplify expressions by combining like terms and applying the distributive property (e.g., 2(x + 4) = 2x + 8).
Students also begin working with integers within algebraic contexts, solving equations that involve negative numbers and negative coefficients. Algebraic thinking is applied to real-world problems, translating multi-step word problems into equations and solving them. Patterning extends to identifying algebraic rules for both linear and simple non-linear sequences, preparing students for the formal study of linear relations in Grade 8 and 9.
Skills Covered
- Solving two-step equations
- Simplifying expressions by combining like terms
- Applying the distributive property to expand expressions
- Solving equations involving integers and negative coefficients
- Translating word problems into algebraic equations
- Identifying algebraic rules for number patterns
Curriculum Aligned: Aligned with Strand C (Algebra): solving two-step equations and simplifying expressions using the distributive property.
Parent Tip: When simplifying expressions, have your child physically group like terms with colour-coding or circles before combining them — it prevents the common error of combining unlike terms.
What your child will practice
Practice core algebra skills aligned with Grade 7 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.