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Master Multi-Step Equations with This Comprehensive Worksheet

Multi Step Equations Worksheet

This page provides a detailed multi-step equations worksheet designed to help students practice and master solving equations step-by-step. Along with the worksheet, you'll find key terms, concepts, and a glossary to support learning. Whether you're a student or teacher, this resource is perfect for enhancing understanding of multi-step equations.

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Key Terms & Definitions

Essential concepts and terminology to understand this topic

Equation

A mathematical statement that shows two expressions are equal, typically with an '=' sign.

Related Terms:Formula

Variable

A symbol, often a letter, that represents an unknown value in an equation.

Related Terms:Unknown

Coefficient

A numerical factor that multiplies a variable in an equation.

Related Terms:Multiplier

Constant

A fixed value that does not change in an equation.

Related Terms:Fixed number

Multi-step equation

An equation that requires more than one step to solve, such as combining terms and isolating the variable.

Related Terms:Complex equation

Like terms

Terms that have the same variable raised to the same power, allowing them to be combined.

Related Terms:Similar terms

Distributive property

A property that states a(b + c) = ab + ac, used to simplify equations.

Related Terms:Distribution rule

Inverse operations

Operations that undo each other, such as addition and subtraction or multiplication and division.

Related Terms:Opposite operations

Simplify

To reduce an equation or expression to its simplest form.

Related Terms:Reduce

Combine like terms

The process of adding or subtracting terms that have the same variables and powers.

Related Terms:Grouping terms

Isolate the variable

To manipulate an equation so that the variable appears alone on one side of the equation.

Related Terms:Solve for the variable

Balance the equation

Ensuring that both sides of an equation remain equal during the solving process.

Related Terms:Equation equality

Linear equation

An equation that graphs as a straight line and has variables raised to the power of one.

Related Terms:First-degree equation

Inequality

A mathematical statement that compares two expressions using symbols like '<', '>', '≤', or '≥'.

Related Terms:Comparison

Solution

The value of the variable that satisfies the equation or inequality.

Related Terms:Answer

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