Solve Real-World Equations with Variables

Front

What is a variable in an equation?

Back

A symbol, often represented by a letter, that stands for an unknown value in an equation.

Front

What does it mean to solve an equation?

Back

To find the value(s) of the variable(s) that make the equation true.

Front

What is the first step in solving a linear equation?

Back

Isolate the variable on one side of the equation by performing inverse operations.

Front

How do you combine like terms in an equation?

Back

Add or subtract coefficients of the same variable to simplify the equation.

Front

What is the distributive property?

Back

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

Front

What does it mean for two expressions to be equal?

Back

It means that they have the same value for the same variable(s).

Front

How do you check your solution to an equation?

Back

Substitute the solution back into the original equation to see if both sides are equal.

Front

What is a linear equation?

Back

An equation that makes a straight line when graphed, typically in the form ax + b = c.

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the rate of change of the dependent variable with respect to the independent variable.

Front

What is a system of equations?

Back

A set of two or more equations with the same variables that can be solved together.