One-Step Equations and Inverse Operations

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 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 subtraction?

Back

The inverse operation of subtraction is addition.

Front

What is the inverse operation of addition?

Back

The inverse operation of addition is subtraction.

Front

How do you solve the equation x - 62 = 123?

Back

Add 62 to both sides to isolate x, resulting in x = 185.

Front

What is the solution to the equation k - 24 = 152?

Back

Add 24 to both sides to find k = 176.

Front

What is the first step to solve the equation 765 = p - 254?

Back

Add 254 to both sides to isolate p.

Front

What is the solution to the equation x - 32 = 49?

Back

Add 32 to both sides to find x = 81.

Front

How do you solve for x in the equation x + 5 = 15?

Back

Subtract 5 from both sides to find x = 10.

Front

What does it mean to 'show your work' in solving equations?

Back

'Showing your work' means to clearly document each step taken to solve the equation, demonstrating the process and reasoning.