Writing 2 Step Equations

Front

What is a two-step equation?

Back

A two-step equation is an algebraic equation that requires two operations to solve for the variable.

Front

How do you isolate a variable in a two-step equation?

Back

To isolate a variable, perform the inverse operations in reverse order: first, eliminate the constant term, then the coefficient.

Front

What does the variable represent in a two-step equation?

Back

The variable represents an unknown quantity that we are trying to solve for.

Front

Write a two-step equation for the scenario: Penelope can spend $35 at the carnival, with a $20 entry fee and $0.50 per ticket.

Back

.50t + 20 = 35

Front

Write a two-step equation for the scenario: Joe wants to earn $3,100 by mowing yards at $25 each, plus $100 from babysitting.

Back

25y + 100 = 3,100

Front

Write a two-step equation for the scenario: Natalie charges $11 per hour for lessons and receives a $6 tip, totaling $39.

Back

11h + 6 = 39

Front

Write a two-step equation for the scenario: A printer prints 10 pages per minute and has 35 pages already printed, totaling 115 pages.

Back

10m + 35 = 115

Front

Write a two-step equation for the scenario: An electrician charges $90 per hour and a $60 fee, with a total bill of $600.

Back

90h + 60 = 600

Front

What is the first step to solve the equation 11h + 6 = 39?

Back

Subtract 6 from both sides to isolate the term with the variable.

Front

What is the second step to solve the equation 25y + 100 = 3,100?

Back

Subtract 100 from both sides, then divide by 25 to find y.