Lesson 3.4 Writing Two-Step Equations Essential Question: How do you solve problems by writing two-step equations?

Before we start… The sum of 4 times a number plus 6 is 14. What is the number?

Solving Problems with Two-Step Equations There are some situations in real life that can be modeled by algebra, more specifically an equation. You can take some word problems and translate them to a two-step equation that can be solved to find your answer.

How do I write a two-step equation? You can use a verbal model to help get started. Identify the variable, the constant term and the operation involved. Write your equation.

Music Club You pay $9. 95 to join an Internet music club. You pay $0 Music Club You pay $9.95 to join an Internet music club. You pay $0.99 for each song that you download. Your cost for joining and downloading some songs is $17.87. How many songs did you download?

American Flamingos A zoo currently spends $1580 to feed its American flamingos. Next year, its budget for feeding the flamingos will be $2370 and it will cost $395 to feed each additional flamingo. What is the number of additional flamingos the zoo can buy?

Feeding Costs It costs a zoo $1150 this year to feed tortoises Feeding Costs It costs a zoo $1150 this year to feed tortoises. Each new tortoise costs $575 to feed. A zoo’s budget for tortoise food next year is $2875. How many new tortoises can the zoo buy next year?

Reading You want to find how many pages you need to read per week in order to finish several books in six weeks. The books have a total of 1244 pages. You have already read 500 pages. How many pages do you have to read per week?

Jobs Kim has a job where she makes $8 per hour plus tips Jobs Kim has a job where she makes $8 per hour plus tips. Yesterday, Kim made $53, $13 of which was from tips. How many hours did she work?

Band Fundraiser Your school band needs to buy new recording equipment Band Fundraiser Your school band needs to buy new recording equipment. The equipment will cost $3000. The band has collected $1200 in previous fundraisers. If the band sells sandwiches at $5 each, how many sandwiches will they need to sell to raise the remaining funds?

Water Skiing You and your family are taking a vacation at a lake Water Skiing You and your family are taking a vacation at a lake. Your family paid a total of $1720 to rent a boat for 5 days along with a set of water ski equipment. The total cost of the rental is the sum of the amount paid for the water ski equipment and the amount paid for the boat rental. You were charged $45 for the equipment rental. What did you pay per day for the boat rental?

Car Wash You and your friends decide to have a car wash as a fundraiser for the school chorus. You spend $15 on supplies and charge $6 per car. At the end of the day your profit is $93. How many cars did you and your friends wash?

Party Supplies You need 124 plastic forks for a party Party Supplies You need 124 plastic forks for a party. At one store you buy the last 5 boxes, and each box contains 8 forks. At another store you find boxes that each contain 12 forks. How many of these boxes do you need to buy?

Auto Repairs Amanda takes her car to the repair shop Auto Repairs Amanda takes her car to the repair shop. The mechanic starts working on her car at 10:30 A.M., takes a 45 minute lunch break, and then continues working into the afternoon. The parts to fix the car cost $350 and the labor costs $80 per hour. Amanda pays $730 in all. At what time does the mechanic finish the work?

How do you write two-step equations?

Ticket Out the Door Nate ordered a pizza that cost $8 plus $0.50 for each extra topping. The total cost of the pizza was $10. How many extra toppings did Nate order?