expressions Worksheets
Our Expressions worksheets provide comprehensive practice with algebraic expressions for grades 6-8. Students work through 13 different worksheet types covering simplifying, expanding, factoring, and rewriting expressions, plus solving linear equations and working with polynomials using various methods including the box method.
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About these worksheets
These worksheets cover a wide range of algebraic expression skills, from simplifying and expanding to factoring. Students practice combining like terms, using the distributive property, rewriting expressions as multiples of a sum, solving linear equations with variables on both sides, and expanding polynomials using the box method. Topics also include perfect square trinomials and matching equivalent expressions, making these resources ideal for sixth through eighth grade algebra.
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Rewrite an expression like 3x + 6 as a multiplication problem with parentheses, like 3(x + 2). Find the greatest common factor of the terms so you know what number or variable can be factored out. Keep expressions equivalent while working with coefficients and variables.
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Practice combining like terms to make an expression simpler. Practice using the distributive property to remove parentheses. Practice following the order of operations when simplifying expressions with addition and subtraction.
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Rewrite algebra expressions into an equivalent form that’s simpler to read and work with. Use the distributive property to expand expressions with parentheses. Combine like terms to simplify expressions with variables. Rewrite expressions that include fractions by simplifying and combining terms correctly.
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Practice using the distributive property to remove parentheses in algebra expressions. Multiply a number or variable across terms inside parentheses, including with fractions. Keep track of positive and negative signs while expanding and simplifying.
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Practice pulling out the greatest common factor when the coefficients are fractions. Rewrite an expression as a product using the distributive property in reverse. Simplify the factored form so the numbers and fractions are in lowest terms.
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Turn a percent in a story problem into a decimal you can use in a calculation. Match a word problem to the correct decimal expression that represents “percent of” an amount. Decide when to multiply by a decimal to find a percent of a number and when to add or subtract to find the new total.
Combine like terms to make an expression shorter and easier to read. Keep track of positive and negative signs while adding and subtracting terms. Simplify expressions that include up to three different variables.
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Recognize when two algebra expressions have the same value even if they look different. Simplify expressions by combining like terms. Rewrite expressions by factoring out a common number or variable.
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Solve linear equations where the variable shows up on both sides of the equals sign. Combine like terms to simplify each side before solving. Use the distributive property to clear parentheses in an equation. Move terms across the equals sign using addition, subtraction, and multiplication to isolate the variable. Handle equations that need more than one step to get the variable alone.
Multiply two polynomials by breaking them into smaller parts in a box (grid). Distribute each term to fill the boxes and keep track of positive and negative signs. Combine like terms to write the expanded polynomial in simplest form.
Use a box (grid) to multiply a binomial by itself, like (x + 5)(x + 5). Combine like terms from the grid to write the final expanded quadratic expression. Connect the box method to the distributive property so you can see where each term in the answer comes from.
Practice expanding squared binomials like (x + 5)^2 into a trinomial. Use the perfect square patterns (a + b)^2 and (a - b)^2 to expand quickly without doing full FOIL every time.
Recognize when a trinomial matches the pattern of a perfect square. Factor perfect square trinomials into a squared binomial like (a+b)^2 or (a-b)^2. Use the middle term to decide whether the binomial uses addition or subtraction.
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