8th Grade Equations & Inequalities: Real-World Problems

A store sells pencils for $0.50 each. If you buy x pencils, write an equation to represent the total cost. If you spend $10, how many pencils did you buy?

• 20

• 15

• 30

• 25

Maria has twice as many marbles as John. If John has y marbles, write an equation to express the number of marbles Maria has. If John has 15 marbles, how many does Maria have?

• 35

• 30

• 20

• 25

A car rental company charges a flat fee of $20 plus $0.15 per mile driven. Write an equation for the total cost C in terms of miles m driven. If you drove 100 miles, what is the total cost?

• $40

• $35

• $50

• $25

The temperature in a freezer is -10 degrees Celsius. If the temperature rises by x degrees, write an inequality to show when the temperature will be above 0 degrees. What values of x satisfy this inequality?

• x < 10

• x < 0

• x > 10

• x = 10

A school is planning a field trip and needs to raise at least $500. If each student contributes $x, write an inequality to represent the number of students needed if there are 30 students. How much must each student contribute if they want to raise exactly $500?

• Each student must contribute $25.00.

• Each student must contribute $10.00.

• Each student must contribute $20.00.

• Each student must contribute $16.67.

A gardener has a rectangular garden that is 3 feet longer than it is wide. If the width is w feet, write an equation for the perimeter P of the garden. If the perimeter is 48 feet, what are the dimensions of the garden?

• Width: 9 feet, Length: 12 feet

• Width: 12 feet, Length: 15 feet

• Width: 8 feet, Length: 11 feet

• Width: 10 feet, Length: 13 feet

A movie theater has a special offer where tickets are $8 each, but if you buy more than 5 tickets, each ticket costs $6. Write an inequality to represent the cost C based on the number of tickets t purchased. How much would it cost for 7 tickets?

• 24

• 42

• 30

• 50

A bike shop sells bikes for $150 each. If they have a sale where you can buy x bikes for $120 each, write an equation for the total cost. If you want to spend no more than $600, how many bikes can you buy?

• 10

• 3

• 7

• 5

A local gym has a membership fee of $50 and charges $30 per month. Write an equation for the total cost C of a membership for m months. If you want to keep your total cost under $200, how many months can you afford?

• 4

• 6

• 2

• 5

A school is selling tickets for a play. If adult tickets cost $10 and student tickets cost $5, write an equation for the total revenue R from selling a and s tickets. If the school wants to make at least $300, what is the minimum number of tickets they need to sell?

• 75

• 60

• 50

• 100