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Algebra worksheets
Simplify expressions, solve equations and follow patterns.
Free to use · No sign-upCheck what the question asks you to find. Evaluating an expression gives a number; simplifying changes its form; solving an equation finds a value that makes it true. Start with one of these tasks at a time.
Where to start
- Evaluating expressions
Substitute a known integer for x and follow the order of operations. This also prepares a way to check equation solutions.
- Combining like terms
Collect coefficients of x separately from constants. Use the distributive-property sheet when brackets need expanding first.
- One-step equations
Use an inverse operation on both sides, then substitute the result. Progress to two-step equations when that check is familiar.
Choose a worksheet
8 skillsEvaluating expressions
Replace x with its given value and calculate the result.
Open worksheetCombining like terms
Collect the x terms and constants to simplify an expression.
Open worksheetThe distributive property
Multiply every term inside parentheses by the outside factor.
Open worksheetOne-step equations
Undo one operation to find x, then check your answer.
Open worksheetTwo-step equations
Use two inverse operations to solve for x.
Open worksheetOne-variable inequalities
Solve inequalities, reversing the sign when you divide by a negative.
Open worksheetInput-output tables
Use a given rule to fill in the missing outputs.
Open worksheetNumber sequences
Find the next number in an increasing or decreasing sequence.
Open worksheetCheck understanding
x = 5.
Subtract 4 from both sides to get 3x = 15, then divide both sides by 3. Substitution gives 3 × 5 + 4 = 19, so the value satisfies the original equation.
Teaching notes
One- and two-step equation ranges select the solution rather than every visible coefficient. Inequalities require a separate check: dividing both sides by a negative reverses the comparison sign. Number sequences here use a constant difference; they do not include geometric sequences.
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