Choose the skill behind your mistake, solve one step at a time, and use expansion or substitution to check the result rather than relying on answer shape alone.
Choose a practice path
Start the 10-question practice set
Answer one problem at a time, check your response, and open the worked explanation before moving on.
Begin with linear equations if balancing and signs are still difficult, then move to factoring and quadratic roots. Use the worked starter problem to identify the first incorrect step, then follow the matching review path before mixing skills.
Interactive practice
Algebra practice: 10 checked problems
Linear equations, equation classification, factoring, restrictions, and quadratics
Question 1 of 10
Coverage
Skills in this practice collection
Linear equations
Practise distribution, like terms, fractions, variables on both sides, identities, and contradictions.
Factoring
Find the GCF before using trinomial, difference-of-squares, or perfect-square patterns.
Quadratic equations
Use factoring when structure is visible and the quadratic formula when an exact general method is needed.
Sample problem
See the expected explanation depth
Solve the equation and verify the result.
3(x−2)=2x+5
1
Distribute
Multiply both terms inside the parentheses by 3.
3x−6=2x+5
2
Collect x-terms
Subtract 2x from both sides.
x−6=5
3
Isolate x
Add 6 to both sides.
x=11
4
Verify
Both sides of the original equation equal 27 when x is 11.
3(11−2)=27,2(11)+5=27
Answer
x=11
Study plan
Use mistakes to choose the next problem
Use each check to decide whether a skill is ready. If the check fails, review the named move before attempting a mixed problem.
Master equivalence
Solve linear equations with clean written operations on both sides, then verify every answer by substitution.
Recognize product structure
Factor out the GCF, identify patterns, and expand the result without losing a term or sign.
Interpret quadratic roots
Use the discriminant to predict the root type, then solve exactly and compare the roots with the coefficients.
Mix only completed skills
Combine equation, factoring, and quadratic tasks after each individual verification method feels routine.
Explore this collection
Choose focused practice or a mixed test
Choose one topic when you know what needs work, or use a fixed mixed test to check whether the method transfers.
Complete one fixed set of 10 questions spanning linear equations, factoring, quadratic roots, rational restrictions, simplification, and a geometric model.
Complete 10 fixed questions where correct signs, exact complex roots, rational restrictions, polynomial structure, and model conditions all matter.
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Common questions
Practise algebra with a clear next step FAQ
Which algebra skill should I practise first?
Start with linear equations if distribution, signed arithmetic, or balancing causes errors. Factoring and quadratic work depend on those expression skills.
How should I use a worked solution?
Attempt the problem first, then compare the first line where your work differs. Name the mathematical move you missed and solve a similar problem without copying the finished answer.
How do I choose between focused and mixed practice?
Choose focused review when the same kind of mistake repeats, such as distributing a negative sign. Use mixed practice after you can select and verify each individual method without a prompt.
What counts as checking an algebra answer?
For an equation, substitute into the original. For a factorization, expand the product. For a simplified expression, compare equivalent values only where both original and simplified forms are defined.
Should I use a calculator while practising?
Use a focused calculator after making your own attempt or when diagnosing a specific step. Reading the reason for the transformation is more useful than copying the final form.
Continue learning
Useful next steps
Choose the resource that matches what you need to do next.
