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7th Grade Algebra Worksheets

This page features 6 printable 7th grade algebra worksheets covering essential skills like expressing and simplifying equations, rewriting and expanding expressions, factoring with fractions, and solving percent word problems. Students practice key algebraic concepts through targeted problems designed for middle school math mastery.

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Word numeric horizontal converting forms addition subtraction fractions Multiple Choice decimals

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Equations Expressions

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Equations

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About these worksheets

Students practice expressing proportional relationships as equations and solving circle equations in standard form. These worksheets develop the ability to identify constants of proportionality, use variables to model real-world relationships, and apply algebraic techniques to geometric formulas. Suitable for seventh and eighth grade math.

7th Grade Algebra Worksheets - Expressing Equations worksheet

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Expressing Equations

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Turn a proportional relationship into an equation using a variable.
Identify the constant of proportionality (unit rate) and use it as the number that multiplies the variable.
Translate a word statement about “times as much” or “per” into an equation with an equals sign.
Match a situation to the correct equation form (like y = kx) and label what the variables represent.

Expressions

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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.

7th Grade Algebra Worksheets - Simplifying Expressions worksheet

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Simplifying Expressions

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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.

7th Grade Algebra Worksheets - Rewriting Expressions worksheet

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Rewriting Expressions

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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.

7th Grade Algebra Worksheets - Expanding Expressions worksheet

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Expanding Expressions

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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.

7th Grade Algebra Worksheets - Factoring Expressions worksheet

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Factoring Expressions

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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.

7th Grade Algebra Worksheets - Percent Word Problems as Decimal Expressions worksheet

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Percent Word Problems as Decimal Expressions

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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.

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