7th Grade Equations & Inequalities in Real-Life Scenarios

A store sells notebooks for $2 each. If you buy more than 5 notebooks, you get a discount of $1 per notebook. Write an inequality to represent the total cost for buying x notebooks and solve for x when the total cost is less than $10.

• x = 10

• x > 5

• x ≤ 8

• x < 10

Maria has 3 times as many marbles as John. If John has x marbles, write an equation to represent the number of marbles Maria has and find out how many marbles John has if Maria has 24 marbles.

• 8

• 12

• 10

• 6

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. Write an equation to represent the total cost C for driving m miles and find out how many miles you can drive if you want to spend no more than $50.

• 60 miles

• 100 miles

• 120 miles

• 80 miles

In a school, the number of students is at least 200. If the number of students is represented by s, write an inequality to represent this situation and graph the solution on a number line.

• s = 200

• s >= 200

• s < 200

• s > 200

A gardener has 50 feet of fencing to create a rectangular garden. If the length of the garden is represented by l and the width by w, write an equation for the perimeter and find the possible dimensions if the length is at least 10 feet.

• Length (l) from 15 to 35 feet, Width (w) from 10 to 0 feet.

• Length (l) from 10 to 30 feet, Width (w) from 20 to -5 feet.

• Length (l) from 5 to 20 feet, Width (w) from 25 to 0 feet.

• Possible dimensions: Length (l) from 10 to 25 feet, Width (w) from 15 to 0 feet.

A movie theater has a seating capacity of 150. If x represents the number of tickets sold, write an inequality to represent the situation where the theater is at full capacity and solve for x.

• x >= 150

• x < 150

• x <= 150

• x = 150

A bike shop sells bikes for $150 each. If you want to buy at least 3 bikes, write an inequality to represent the total cost and determine the maximum amount you can spend if you want to buy 3 bikes.

• 300

• 450

• 750

• 600

A school is planning a field trip and has a budget of $500. If each student pays $25, write an inequality to represent the maximum number of students that can go on the trip and solve for the number of students.

• 30

• 20

• 15

• 25

A pool can hold a maximum of 500 gallons of water. If it currently has x gallons, write an inequality to represent how much more water can be added and graph the solution on a number line.

• y ≤ 500 - x

• y = 500 - x

• y ≥ 500 + x

• y < 500 - x

A bakery sells cupcakes for $3 each. If you want to buy at least 10 cupcakes, write an inequality to represent the total cost and find out how much you can spend if you want to buy exactly 10 cupcakes.

• You can spend exactly $25 if you want to buy 10 cupcakes.

• You can spend exactly $15 if you want to buy 10 cupcakes.

• You can spend exactly $30 if you want to buy 10 cupcakes.

• You can spend exactly $20 if you want to buy 10 cupcakes.