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Front

What is the definition of a variable in mathematics?

Back

A variable is a symbol used to represent an unknown value in mathematical expressions or equations.

Front

Explain the concept of an equation.

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing one or more variables.

Front

What is the purpose of solving an equation?

Back

The purpose of solving an equation is to find the value(s) of the variable(s) that make the equation true.

Front

Define the term 'coefficient'.

Back

A coefficient is a numerical factor that multiplies a variable in an algebraic expression.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to reduce it to its most basic form by combining like terms and eliminating unnecessary operations.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.

Front

How do you solve a one-step equation?

Back

To solve a one-step equation, isolate the variable by performing the inverse operation on both sides of the equation.

Front

What is a linear equation?

Back

A linear equation is an equation that forms a straight line when graphed, typically in the form y = mx + b.

Front

Define 'solution set'.

Back

The solution set is the collection of all possible solutions to an equation or inequality.

Front

What is the difference between an expression and an equation?

Back

An expression is a combination of numbers, variables, and operations without an equality sign, while an equation includes an equality sign.