Distributive Property Equations Worksheet | Printable PDF

This Grade 8 math worksheet builds fluency in solving multi-step equations that require the distributive property. Students simplify expressions, combine like terms, and isolate variables across 24 carefully sequenced problems that move from straightforward distribution to equations with variables on both sides.

At a Glance

• Grade: 8 · Subject: Math
• Standard: CCSS.MATH.CONTENT.8.EE.C.7 — Solve linear equations in one variable, including those requiring distribution
• Skill Focus: Distributive property in multi-step equations
• Format: 3 pages · 24 problems · Answer key included · PDF
• Best For: Independent practice or homework review
• Time: 25–40 minutes

What's Inside

The worksheet contains 24 equations organized across three pages. Problems range from single-distribution expressions such as 3(x + 5) = 21 to more complex equations featuring negative coefficients, fractional results, and variables on both sides. Each problem requires students to distribute first, then combine like terms and apply inverse operations to solve. A complete two-page answer key lists every solution, making self-checking or peer grading fast and accurate.

Skill Progression

• Guided practice (Problems 1–8): Single-distribution equations with positive integers. Students focus on correctly applying the distributive property and performing basic inverse operations to isolate the variable.
• Supported practice (Problems 9–16): Equations introduce negative coefficients, subtraction within parentheses, and larger constants. Students must track sign changes carefully after distributing.
• Independent practice (Problems 17–24): Multi-step equations with variables on both sides, requiring distribution on one or both sides before collecting variable terms. Solutions may be negative or fractional, raising the cognitive demand.

This gradual-release structure mirrors the I Do, We Do, You Do framework, letting teachers model early problems, guide middle sets collaboratively, and release students for independent work on the final section.

Standards Alignment

The primary standard is CCSS.MATH.CONTENT.8.EE.C.7: Solve linear equations in one variable, including equations with the variable on both sides, equations whose solutions require expanding expressions using the distributive property, and collecting like terms. A supporting standard is CCSS.MATH.CONTENT.8.EE.C.7.B, which specifies that students solve equations that may yield one solution, infinitely many solutions, or no solution. Both standard codes can be copied directly into lesson plans, IEP goals, or district curriculum mapping tools.

How to Use It

Assign Problems 1–8 immediately after direct instruction on the distributive property to check for initial understanding. Use Problems 17–24 as a formative exit ticket the following day; scan student work for common errors such as failing to distribute the negative sign or dropping a term when combining like terms. Expected completion time for the full set is 25–40 minutes, though individual sections can be assigned separately in shorter class periods.

Who It's For

This worksheet is designed for Grade 8 students working at or approaching grade level in expressions and equations. Students who need additional support benefit from pairing the worksheet with an anchor chart showing distributive-property steps. Advanced learners can be challenged to verify each solution by substituting it back into the original equation. The resource pairs well with a direct instruction lesson on multi-step equation strategies.

Solving multi-step linear equations is a foundational algebraic skill assessed under CCSS.MATH.CONTENT.8.EE.C.7, which asks students to apply the distributive property, combine like terms, and isolate variables. This 24-problem worksheet provides structured practice through a graduated difficulty sequence aligned to the gradual-release model. Teachers can use the included answer key for immediate feedback to accelerate procedural fluency.