Solving Equations with Variables on Both Sides

Front

What is an equation?

Back

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

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

Front

What are variables in an equation?

Back

Variables are symbols (usually letters) that represent unknown values in an equation.

Front

What does it mean to have variables on both sides of an equation?

Back

It means that the variable appears in expressions on both sides of the equality sign.

Front

What is the first step in solving an equation with variables on both sides?

Back

The first step is to isolate the variable by moving all terms containing the variable to one side of the equation.

Front

How do you move a term from one side of an equation to the other?

Back

You can move a term by adding or subtracting it from both sides of the equation.

Front

What is the goal when solving equations?

Back

The goal is to isolate the variable on one side of the equation to find its value.

Front

What is the solution to the equation 10x + 17 = 15x - 73?

Back

x = 18.

Front

What is the solution to the equation -2x + 18 = 2x + 40?

Back

x = -5.5.

Front

What is the solution to the equation 4x - 3 = 6x - 19?

Back

x = 8.