One Step Equations

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing one or more 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 is a one-step equation?

Back

A one-step equation is an equation that can be solved in a single operation, such as addition, subtraction, multiplication, or division.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the inverse operation of addition?

Back

The inverse operation of addition is subtraction.

Front

What is the inverse operation of multiplication?

Back

The inverse operation of multiplication is division.

Front

How do you solve the equation 5 = f - 2?

Back

Add 2 to both sides to isolate f: 5 + 2 = f, so f = 7.

Front

What is the solution to the equation -5x = 25?

Back

Divide both sides by -5: x = 25 / -5, so x = -5.

Front

How do you solve for x in the equation x - 8 = -5?

Back

Add 8 to both sides: x = -5 + 8, so x = 3.

Front

What is the solution to the equation 5n = 30?

Back

Divide both sides by 5: n = 30 / 5, so n = 6.