Lesson 7.5Solve Two-Step Equations

Essential Question: How do you solve two-step equations?

Before we start…

You are buying a drum set that costs $495. The music store lets you make a down payment. You can pay the remaining cost in three equal monthly payments with no interest charged. You make a down payment of $150. How much is each monthly payment?

Solving Two-Step Equations

• To solve a two-step equation, you’ll use inverse operations to isolate the variable.

• Continue to remember the golden rule of algebra.

How do I solve a two-step equation?

• Identify the variable and the constant term

• Use inverse operations to remove the constant term

• Use inverse operations to remove the coefficient

Solve

3 7 5x

Solve

3 12

x

Solve

7 4 19y

Solve

5 112

x

Solve

5 9 24x

Solve

4 4 16y

Solve

1 73

z

Solve

12 7 m

Solve

3 112

p

Solve

12 4 12s

Bicycle Repair Your bicycle needed to be fixed. A mechanic charged $40 for each hour of labor, and the new parts cost $35. The total cost of fixing the bicycle was $95. How long did it take the mechanic to fix the bicycle?

Landscaping A landscaper charges $28 per hour for labor and $105 for plants and materials to do a small planting job. If the total cost is $168, how long did the job take?

Amusement Park An amusement park charges $8 for admission and $1.50 per ride. You spend $32. How many rides did you go on?

Column Width You are using a word processor to create a table. The table will be 5 inches wide. The first column of the table will be 3 inches wide, and the remaining 4 columns will have equal widths. How wide should you make each of the 4 columns?

Computers A computer repair store charges you $28 per hour for labor, and you buy anti-spam software for $36. If your total bill is $85, how long did they work on your computer?

Theater Each student ticket to a school musical costs $5, and each adult tickets costs $6. The music department collected $1400 in ticket sales and sold 150 adult tickets. How many student tickets were sold?

Frozen Yogurt You work in a frozen yogurt shop. You sold 145 frozen juice bars and 150 frozen yogurt cones over the weekend. You took in a total of $399 from these sales. You sold each frozen yogurt cone for $1.50. What was the price, in dollars, of one frozen juice bar?

How do you solve two-step equations?

Ticket Out the DoorSolve