Solving One-Variable Equations

Front

What is a one-variable equation?

Back

A one-variable equation is an equation that contains only one variable, which can be solved to find its value.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value of the variable that makes the equation true.

Front

What is the first step in solving the equation 7x + 8 - 2x = 20?

Back

Combine like terms: 5x + 8 = 20.

Front

How do you isolate the variable in the equation x - 4 = 8?

Back

Add 4 to both sides to get x = 12.

Front

What is the solution to the equation 0.5(2x + 14) = 10?

Back

x = 3.

Front

What is the process to solve x + 18 = 20?

Back

Subtract 18 from both sides to find x = 2.

Front

What is the solution to the equation -3x = 9?

Back

x = -3.

Front

What does 'combining like terms' mean?

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

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

Back

Checking your solution ensures that the value you found satisfies the original equation.

Front

What is the inverse operation of addition?

Back

The inverse operation of addition is subtraction.