Name: ______
Writing and Solving Inequalities from Word Problems Name______
Write an equation or inequality and graph the solution on a number line:
a) Your car can fit no more than 7 passengers.
c) To vote in the United States, you must be at least 18 years old.
e) The minimum score to pass the CRCT is an eight hundred.
b) The maximum height a car can be to enter the parking garage near the Georgia Dome is eight feet.
d) The speed limit on I-75 is 65 miles per hour.
f) It will cost you exactly $5.75 to buy a new agenda if you lose yours.
For 1-14, Write an inequality and solve. Do not graph J
1. ENTERTAINMENT Gabe went to the amusement park with $40 to spend. His ticket cost $26.50. Write and solve an inequality to show how much he might spend on lunch. / 2. AQUARIUM Leeza’s aquarium holds 55 gallons of water. She is filling the tank and has already put in 22 gallons. Write and solve an inequality to find out how many more gallons she might put in the tank.3. Many mechanics advise people not to drive their cars more than 5,000 miles between oil changes. Kaci has driven her car 3,450 miles since the last oil change. Write and solve an inequality to find out how many more miles she might drive before having her oil changed again. / 4. FURNITURE Dan builds furniture. The table shows his minimum production times.
Dan builds children’s tables on Tuesday. He works 10 hours. Write and solve an inequality to determine how many children’s tables Dan can build that day.
5. Drew practices piano at least 45 minutes per day. He has already practiced 18 minutes. Write and solve an inequality to determine how much longer he will be practicing. / 6. At baseball spring training, the coach throws at least 30 grounders to each outfielder. He has thrown 16 grounders to the right fielder. Write and solve an inequality to determine how many more he can be expected to throw to the right fielder.
7) You are having your birthday party at Sparkles and you can invite up to 20 friends. You have already invited 8 friends to the party. How many more could you invite?
8) The trampoline at Tommy’s house can hold a maximum weight of 350 pounds. If the total weight of the kids on his trampoline is already 225 pounds, how much can the next person weigh?
9) To get a coupon for “Kohl’s Cash” at the local Kohl’s store, customers must spend a minimum of $50. Kelsie has already made purchases that have cost $35. How much more could she spend to make sure she gets her coupon?
10) Johnny’s grandmother gave him $20 for the holidays. He already spent $9 of his money at Sparkles. How much more money could he spend at the arcade?
11) Ms. Schorn had some AirHeads. Ms. Bonsecour took eight of them and now
Ms. Schorn has 15. How many did Ms. Schorn have originally?
12) Wal-Mart sells popcorn tins for $5. Frank has been given $60 by his parents to purchase as many tins as he wants. How many tins could he purchase?
13) Mallory is making brownies to give her 12 teachers this last week before break. She wants to give each at least 3 brownies. How many should she bake?
14) On a tank of gas, Ms Findling’s car can travel a maximum of 300 miles. She noticed on her way to Ohio that she had already traveled 170 miles. How many miles could she travel before filling up again?