Equations & Inequalities: Real-World Problem Solving

A store sells pencils for $0.50 each. If you buy x pencils, write an equation to represent the total cost. If you have $5, how many pencils can you buy?

• 20

• 10

• 15

• 5

Maria has 3 times as many marbles as John. If John has y marbles, write an equation to express the number of marbles Maria has. If John has 10 marbles, how many does Maria have?

• 30

• 25

• 15

• 20

A recipe requires 2 cups of flour for every batch of cookies. If you want to make b batches, write an equation for the total cups of flour needed. How many cups do you need for 4 batches?

• 10 cups

• 6 cups

• 4 cups

• 8 cups

The temperature in the morning was 5 degrees Celsius. By noon, it increased by t degrees. Write an inequality to show that the temperature must be at least 15 degrees for a picnic. What values of t satisfy this?

• t >= 10

• t <= 15

• t >= 5

• t < 10

A car rental company charges a flat fee of $20 plus $0.15 per mile driven. Write an equation for the total cost C of renting the car for m miles. How much would it cost to drive 100 miles?

• $50

• $25

• $40

• $35

A school is planning a field trip and needs to raise at least $300. If each student contributes x dollars, write an inequality to represent the number of students needed if there are 20 students. How much must each student contribute if they want to raise exactly $300?

• Each student must contribute $25.

• Each student must contribute $20.

• Each student must contribute $10.

• Each student must contribute $15.

A gardener has 50 plants and wants to plant them in rows of r plants each. Write an equation to find the number of rows. If the gardener wants 10 rows, how many plants will be in each row?

• 4

• 7

• 5

• 6

A movie theater has a seating capacity of 200. If x seats are reserved for a special event, write an inequality to show how many seats are left for regular customers. If 50 seats are reserved, how many are available?

• 100

• 75

• 150

• 200

A bike shop sells bikes for $150 each. If they sell b bikes, write an equation for the total revenue R. If they sell 20 bikes, what is the total revenue?

• 3000

• 1500

• 2500

• 3500

A school has a budget of $500 for a science fair. If each project costs p dollars, write an inequality to represent the maximum number of projects that can be funded. If each project costs $30, how many projects can they fund?

• 20

• 10

• 16

• 25