One-Step Equations

Front

What is a one-step equation?

Back

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

Front

How do you solve the equation x + 5 = 12?

Back

Subtract 5 from both sides to isolate x: x = 12 - 5, so x = 7.

Front

What is the inverse operation of addition?

Back

Subtraction.

Front

What is the inverse operation of multiplication?

Back

Division.

Front

How do you solve the equation 3x = 12?

Back

Divide both sides by 3 to isolate x: x = 12 / 3, so x = 4.

Front

What is the first step to solve the equation x/4 = 2?

Back

Multiply both sides by 4 to isolate x: x = 2 * 4, so x = 8.

Front

What does it mean to isolate a variable in an equation?

Back

To isolate a variable means to manipulate the equation so that the variable is on one side and all other terms are on the opposite side.

Front

How do you solve the equation x - 7 = -1?

Back

Add 7 to both sides to isolate x: x = -1 + 7, so x = 6.

Front

What is the solution to the equation 2x = -16?

Back

Divide both sides by 2 to isolate x: x = -16 / 2, so x = -8.

Front

What is the purpose of using inverse operations when solving equations?

Back

Inverse operations are used to undo the operations applied to the variable, allowing us to isolate it and find its value.