Writing Inequalities
Blake is saving up to buy a new pair of headphones. He has saved $20 already, and he earns $10 for every lawn he mows. How many lawns will he have to mow to have at least $90 saved?
10x+20>=90
x<3.5
Omar is going to an amusement park for his birthday. It cost $30, for the first person’s ticket, then $5 for each additional ticket. If the budget for his party is $125, how many friends can Omar invite?
4p+6=82
x=19
Ryan can spend no more than $6 at an office supply store. He needs to buy some paste that costs $2.58 and make several copies of a flyer. If copies cost $0.18 each, how many copies, c, can Ryan make? WRITE an equation or inequality.
2.58 + 0.18c <= 6
Kellie is allowed to watch up to 90 minutes of TV per day. If she watched 10 minutes before school, how many 20 minute episodes can she watch after school?
10+20x<=90
62x-37>459
x>8
Esther is doing some online shopping. She has to spend $125 to receive free shipping. If she adds a $30 water bottle to her cart, how many $5 stickers will she have to order?
30 + 5x = 125
-2g-7.4=16
g = -11.7
Alice is planning her next vacation. She budgeted $110 for travel expenses, and she expects to spend $120 each day for food and lodging. Her total budget for the trip is $710. How many days, d, can Alice have for her vacation without exceeding her budget?
120d+110 <= 710
Alice has $90 to spend on new clothes. She wants to buy some shirts for $20 each. If she has a coupon for $10 off her total purchase, how many shirts can she buy?
-5x+20>13
x<1.4
A car cost a total of $15,365. If you pay $200 down and then pay the same amount for $36, how much should you pay each month to pay off the car?
x = 0
b < -230
Hazel and 4 of her friends bought tickets for a baseball game. They received a $30 group discount. If the total was under $125, how much could each ticket have been?
5x-30<125
x > -2/3
The snowy tree cricket is sometimes called the temperature cricket because the frequency of its chirps varies based on the temperature. The number of snowy tree cricket chirps per minute is 148 less than 4 times the outside temperature in degrees Fahrenheit. If the snowy tree cricket chirps 140 time per minute, what is the temperature?
4x-148=140
4 ( t + 5.50) = 126
t = 26
3(h - 4) + 33 > 219
h > 66
Naomi’s car can go a maximum of 125 miles on 1 tank of gas. She has already driven 5 miles on her current tank. If it takes her 30 miles road trip to get to work, how many times can she drive to work before she has to fill up the tank?
5+30x<=125
x/-6 + 19 > 22
x < -18
A class of 24 students visited a science museum. Each student paid the admission fee AND $6 for lunch. The class spent a total of $336. What was the admission fee that each student paid?
24(x+6)=336
x = 35
-5 ( x + 7) - 6.7 < 4
x > -9.14