Solving One and Two Step Equations

Front

What is the first step in solving the equation x - 5.5 = 10.5?

Back

Add 5.5 to both sides of the equation.

Front

What is the solution to the equation y - 4.6 = 12?

Back

y = 16.6

Front

What are the two steps involved in solving the equation 5b - 6 = 24?

Back

Add 6 to both sides and then divide both sides by 5.

Front

What is the goal of solving two-step equations?

Back

To find the value of the variable.

Front

How do you solve the equation 2x + 3(5x - 7) = 47?

Back

First, distribute 3 to (5x - 7), then combine like terms and isolate x.

Front

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

Back

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

Front

What is a one-step equation?

Back

An equation that can be solved in a single operation, such as addition, subtraction, multiplication, or division.

Front

Provide an example of a two-step equation.

Back

x + 3 = 10.

Front

What is the solution to the equation 3x = 12?

Back

x = 4.

Front

What is the importance of checking your solution after solving an equation?

Back

To verify that the solution satisfies the original equation.