Writing Inequalities
Write an inequality based off this situation.
Lily needs at least 75 points to pass her math test. Let x represent her score.
x >= 75
Write an expression based off this situation.
Lena has $5.75. Her friend gives her more money. Let x represent the amount her friend gives.
5.75 + x
Olivia buys x notebooks that cost $3 each. She also buys a folder for $5. Here is the expression to represent this situation.
3x+5
If Olivia buys 4 notebooks, how much does she spend?
17
Write an equation based off this situation.
Maria bought a sandwich for $4.25 and a drink. Her total bill was $6.75. How much did the drink cost?
x + 4.25 = 6.75
x + 2.5 = 6.8
4.3
Write an inequality based off this situation.
Carlos can spend no more than $20 on lunch. Let x be the amount he spends.
x <= 20
Write an expression based off this situation.
David had x dollars and spent $3.20 on snacks.
x - 3.20
Liam earns $2 for each chore he does. He spends $1.50 on a snack afterward. Here is the expression to represent this situation.
2x−1.5
If Liam does 6 chores, how much money does he have left?
10.50
Write an equation based off this situation.
Liam had $15.00 and spent $8.60 at the store. How much money does he have left?
15.00 - 8.60 = x
y - 4.3 = 2.1
6.4
Write an inequality based off this situation.
A roller coaster requires riders to be taller than 1.2 meters. Let h represent a rider’s height.
h > 1.2
Write an expression based off this situation.
Each pen costs $1.50. Maya buys x pens.
1.50x
A taxi ride costs a base fee of $7 plus $0.50 per mile.
Here is the expression to represent this situation.
7+0.5x
If the ride is 10 miles, how much does it cost?
12
Write an equation based off this situation.
Each notebook costs $2.75. Elena spent $11.00 in total. How many notebooks did she buy?
2.75x = 11.00
2.4d = 10.08
4.2
Write an inequality based off this situation.
Emma wants to keep her backpack under 15 pounds. Let w represent the weight of her backpack.
w < 15
Write an expression based off this situation.
A 10-meter rope is cut into x equal pieces.
10/x
A machine makes 4 items every hour. The total number of items made is divided evenly into 2 boxes.
Here is the expression to represent this situation.
4x÷2
If the machine runs for 8 hours, how many items go in each box?
16
Write an equation based off this situation.
A 9.6-liter jug of juice is divided equally into 4 bottles. How much juice is in each bottle?
9.6/4 = x
a/1.2 = 5
6
Write an inequality based off this situation.
To ride the go-karts, you must be at least 10 years old. Let x represent a person’s age.
x >= 10
Sophie earns $8 per hour and works x hours. She then spends $12 on lunch.
8x - 12
Noah starts with $10 and spends $3 for each video game rental. Here is the expression to represent this situation.
10−3x
If he rents 2 games, how much money does he have left?
4
Write an equation based off this situation.
Emma earns $12.50 per hour. She also receives a weekly bonus of $30. Last week, she earned a total of $155. How many hours did she work?
12.50x + 30 = 155
0.6z = 19.5
32.5