Front

What is a variable in a mathematical expression?

Back

A symbol used to represent an unknown value in an equation or expression.

Front

How do you isolate a variable in an equation?

Back

By performing inverse operations to both sides of the equation until the variable is alone on one side.

Front

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

Back

It means that the equation contains variables that appear on both the left and right sides, requiring manipulation to solve.

Front

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

Back

Combine like terms and move all variable terms to one side of the equation.

Front

What is the purpose of checking your solution in an equation?

Back

To verify that the solution satisfies the original equation.

Front

What is an example of a simple equation with variables on both sides?

Back

2x + 3 = x + 5.

Front

How do you solve the equation 3x + 4 = 2x + 10?

Back

Subtract 2x from both sides to get x + 4 = 10, then subtract 4 to find x = 6.

Front

What does 'combining like terms' mean?

Back

It means to add or subtract terms that have the same variable raised to the same power.

Front

What is the solution to the equation 5x - 2 = 3x + 6?

Back

x = 4.

Front

What is the significance of the equal sign in an equation?

Back

It indicates that the expressions on both sides have the same value.