Writing Two-Step Equations
A truck rental company charges a weekend rate of $50.75 plus $8.25 for each hour a tuck is rented. You have a total of $125 to spend on a truck rental. Write an equation that best represents x, the number of hours you can rent a truck.
What is 8.25x + 50.75 = 125?
Solve for x.
3x + 1 = 16
What is x=5?
Kate bought some markers for $3 each and a notebook for $5. Kate did not spend more than $17. Write an inequality that can be used to represent m, the number of markers that Kate could have bought?
What is 3m + 5 ≤ 17?
Solve the inequality.
2x + 5 > 13
What is x > 4?
What is the value of the expression 5x - 3 when x=2?
What is 7?
Rosie paid $400 to a gym. This included a registration fee of $129.50 and $35 for each time she used a personal trainer. Write an equation that represents p, the number of times Rosie used a personal trainer.
What is 35p + 129.50 = 400?
Solve for x.
5x - 2 = 18
What is x=4?
Jasmine has $400 in a savings account at the beginning of the summer. She withdraws $25 each week for spending money. Write an inequality that can be used to represent w, the number of week Jasmine can withdraw $25 from her account and still have more than $150?
What is 400 - 25w > 150?
Solve the inequality.
-8x + 40 > -16
What is x < 7?
What is the value of the expression -3x - 4 when x= -6?
What is 14?
Before getting a haircut, Harry's hair was 5.5 inches long. After the haircut, it is 3.5 inches long. Harry's hair grows 0.5 inch per month. Write an equation that represent m, the number of months since Harry's last haircut.
What is 0.5m + 3.5 = 5.5?
Solve for x.
-7x + 5= 47
What is x = -6?
Sara started a stamp collection with 75 stamps. She will buy 12 stamps each month for m months to add to her collection. Write an inequality that can be used to represent m, Sara will have at most 200 stamps in her collection.
What is 75 + 12m ≤ 200?
Solve and graph the inequality.
2 - 2x < -20
What is x > 11?
What is the value of the expression -6 - 2x when x= -8
What is 10?
Michelle has 100 colts cash. She wants to purchase a drink and some pencils. The drink costs 10 colts cash and each pencil cost 4.50 colts cash. Write an equation that represents x, how many pencils Michelle can buy.
What is 4.50x + 10 = 100?
Solve for x.
4.50x + 10 = 100?
What is x=20?
Liam bought gas for $3.75 per gallon. He bought a drink for $2 and paid at least $30. Write an inequality that can be used to represent g, the number of gallons gas he could have bought.
What is 3.75g + 2 ≤ 30?
Model and solve the inequality.
-2x + 4 ≥ -6
What is x ≤ 5?
Which equation is true when x = 5?
a) 4x + 4 = 12
b) 4x - 2 = 18
What is b) 4x - 2 =18?
Jon's backpack weighs 9 pounds which is 3 pounds less than twice the weight of Mia's backpack. Write an equation that represents x, the weight of Mia's backpack in pounds.
What is 2x - 3 = 9?
Model and solve for the following equation.
3x + 1 = 7
What is x= 2?
Midtown Taxi charges $0.65 per miles plus an additional $3.75 for a taxi ride. Alexis can spend at most $15 on a ride. Write an inequality that can be used to represent x, the number of miles Alexis can travel in the taxi.
What is 0.65x + 3.75 ≤ 15?
Model, solve, and graph the following inequality.
2x + 2 > 8
What is x > 3?
Which equation is true when x = 6?
a) 6x + 8 = 40?
b) 3x + 4 = 8?
What is a) 6x + 8 = 40?