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Home » Skills » Algebra » Expressions & Equations

Expressions And Equations Worksheets

Expressions and equations are foundational algebra skills that help students move from arithmetic into algebraic thinking. In this section, students learn how to work with variables, understand how numbers and symbols relate, and apply rules like order of operations to solve problems accurately. Expressions and equations may look similar, but they serve different purposes. Expressions are evaluated, while equations are solved. Building a strong understanding of both helps students transition smoothly into pre-algebra and middle school math.

Order of OperationsWriting Algebraic Expressions

Order of operations with integers worksheet with 16 problems evaluating expressions using negative numbers, parentheses, multiplication, division, addition, and subtraction.

Order of Operations with Integers (Negatives) Worksheet

6th Grade7th Grade8th Grade

Order of OperationsAlgebra

Order of operations with exponents worksheet (Level 1) with 16 PEMDAS problems evaluating expressions using exponents, multiplication, division, addition, and subtraction.

Order of Operations with Exponents Worksheet (PEMDAS) + Answer Key

6th Grade7th Grade8th Grade

Order of OperationsAlgebra

Mixed PEMDAS practice worksheet with 16 order of operations problems using parentheses, multiplication, division, addition, and subtraction (no exponents).

Mixed PEMDAS Practice Worksheet (No Exponents)

6th Grade7th Grade8th Grade

Order of OperationsAlgebra

Black-and-white printable worksheet titled "Distributive Property and Combining Like Terms Worksheet," featuring 10 algebraic expressions for students to simplify using distribution and combining like terms.

Free Distributive Property and Combining Like Terms Worksheet

6th Grade7th Grade8th Grade

Expressions & Equations

Multi step equations worksheet with distributive property, featuring 10 algebraic problems like 3(x + 4) = 21 and -4(a + 3) = -28 for students to solve step-by-step.

Multi Step Equations Worksheet with Distributive Property

6th Grade7th Grade8th Grade

Expressions & Equations

Distributive property worksheet with variables showing 20 algebraic expressions like -1(2a + 3) and 6(5z − 4) to simplify using the distributive property.

Free Distributive Property Worksheet with Variables

6th Grade7th Grade8th Grade

Expressions & Equations

Printable Solving Two Step Equations Worksheet with 24 Problems and Answer Key – Ideal for Pre-Algebra and Middle School Math

Free Solving Two Step Equations Worksheet

6th Grade7th Grade8th Grade

Expressions & Equations

Order of Operations Chart with PEMDAS overview

Easy Order of Operations Chart (PEMDAS)

6th Grade7th Grade8th Grade

Order of Operations

Printable Order of Operations worksheet with 18 math problems for students to solve using PEMDAS rules. Problems range from basic expressions like 3 × 4 + 6 to more complex ones involving parentheses and exponents, such as (3 + 1)² ÷ 4 + 7 and 10 + 10³ × 0 + 10. Designed for middle school math learners.

Skills Practice: Free Order of Operations Worksheet

6th Grade7th Grade8th Grade

Order of Operations

A writing algebraic expressions worksheet that asks students to take written word expressions and equations and turn them into mathematical expressions and equations.

Free Writing Algebraic Expressions Worksheet

6th Grade7th Grade8th Grade

Expressions & EquationsWriting Algebraic Expressions

Expressions and equations are key concepts in algebra that introduce students to working with variables and mathematical relationships. An algebraic expression is a combination of numbers, variables, and operations, such as
3x+53x + 5
3x+5. Expressions do not have an equals sign and are evaluated by substituting values for variables and simplifying the result.

An equation, on the other hand, includes an equals sign and represents a statement that two expressions have the same value. For example,
3x+5=173x + 5 = 17
3x+5=17 is an equation that can be solved to find the value of the variable. Understanding the difference between evaluating expressions and solving equations is an important step in developing algebraic reasoning.

Students working with expressions and equations practice skills such as substitution, order of operations, and inverse operations. These skills support later topics including inequalities, functions, and systems of equations. The worksheets in this section provide structured practice that helps students build confidence and accuracy as they work with algebraic expressions and equations.

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