Your soccer team has a goal to collect at least 160 coats for a shelter. Players have already donated 36 coats. If they donate 12 coats per week, how many weeks will it take to reach their goal?
36 + 12w >= 160 (36 +12w is greater than or equal to 160); 12 weeks
Your family has $6000 saved for a vacation. Each airplane ticket is $427 and you need at least $2350 to spend on food and entertainment. Write and solve an inequality to find the maximum number of people that can come on the trip.
427p + 2350 <= 6000 (427p + 2350 is less than or equal to 6000); 8 people
You have an allowance of $18 a week and want to save up for a bike that costs $355. You have already saved $72. Write and solve an inequality to find the minimum number of weeks until you have saved enough for the bike.
18w + 72 >= 355 (18W + 72 is greater than or equal to 355); 16 weeks
The math club charges $3.50 per car at their car wash. Write and solve an inequality to find how many cars they have to wash to earn at least $400.
3.50c >= 400 (greater than or equal to); 115 cards
Suppose you earn $9.55 per hour working part time at a pet salon. Write and solve an inequality to find how many full hours you must work to earn at least $500.
9.55h >= 500 (greater than or equal to); 53 hours
The art club is selling calendars. They earn $0.80 on each calendar they sell. Their goal is to earn at least $450. Write and solve an inequality to find the fewest number of calendars they can sell and still reach their goal.
.80c >= 450 (greater than or equal to); 563 calendars
An elevator can safely lift at most 4400 lbs. A concrete block has an average weight of 41 lbs. What is the maximum number of concrete blocks that the elevator can lift?
41b <= 4400 (less than or equal to); 107 blocks
On a trip from Chicago to Kansas City, the Larson family wants to travel at least 350 miles in 6 hours of driving. What is the slowest average speed they can travel to meet their goal?
6s >= 350 (greater than or equal to); 59 miles per hour
The length of a rectangle is 6 inches more than the width. The perimeter of the rectangle can be no more than 48 inches. What is the maximum width?
2(2w + 6) <= 48 (less than or equal to); The width has a max of 9 inches
You need 3 pieces of ribbon for a project. The first piece must be twice as long as the second, and the third should be 1 foot longer than the second. If the spool has at least 21 feet of ribbon, what's the minimum length of the 3 pieces?
21<= 4x + 1; 10 feet, 5 feet, and 6 feet.
A certain rope is no more than 100 feet long and needs to be cut into three pieces. The second piece is to be three times as long as the first, and the third piece must be 18 feet long. What is the maximum length of each piece?
100>= 4x + 18; 18 feet, 20.5 feet, and 61.5 feet.
Your grades on 3 tests are 82, 76, and 90. Unfortunately, you skipped the third test and received a 0. If you have one test left to take, and if the passing grade for the course is 70, what score must you get to pass the course?
(82+76+90 + x) 5 >= 70 (greater than or equal to); Scpre 102 on the last test.
A car rental agency rents cars for $26.20 per day plus $0.22 per mile driven. If your travel budget is $200, what is the maximum number of miles you can drive during a 1-day rental?
200 <= 26.20 + .22m; You can drive a maximum of 790 miles.
At a concession stand, someone gives $18 and asks for six soft drinks and as many hot dogs as the remaining money will buy. If soft drinks are $1.00 and hot dogs are $1.75, what is the maximum number of hot dogs the person can buy?
18>= 6 + 1.75h; They can buy a maximum of 6 hotdogs
Write an inequality to describe: The Navy’s flying squad, the Blue Angels, makes more than 75 appearances each year
x> 75
Write an inequality to represent: It is not safe to use a light bulb of more than 60 watts in this light fixture.
x<= 60 (less than or equal to)
