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. How many pencils can you buy with $5?

• 10

• 15

• 5

• 20

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 10 marbles, how many does Maria have?

• 15

• 25

• 20

• 30

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

• $35

• $15

• $20

• $50

A school is planning a field trip and has a budget of $300. If each ticket costs $15, write an inequality to represent the maximum number of tickets t they can buy. How many tickets can they purchase?

• 15

• 25

• 30

• 20

Tom is 3 years older than his sister. If his sister is s years old, write an equation to express Tom's age. If his sister is 12, how old is Tom?

• 18

• 12

• 15

• 10

A gardener is planting flowers in rows. If each row can hold 8 flowers and the gardener has f flowers, write an inequality to show how many rows r are needed. If the gardener has 50 flowers, how many rows are required?

• 5

• 7

• 8

• 6

A book costs $12. If you have a budget of b dollars, write an inequality to represent how many books you can buy. If you have $50, how many books can you purchase?

• 6

• 4

• 3

• 5

A recipe requires 2 cups of sugar for every 3 cups of flour. Write an equation to express the relationship between sugar s and flour f. If you use 9 cups of flour, how much sugar do you need?

• 8 cups of sugar

• 6 cups of sugar

• 4 cups of sugar

• 10 cups of sugar

A concert hall has a seating capacity of 500. If x tickets are sold, write an inequality to represent how many more tickets can be sold. If 450 tickets have been sold, how many more can be sold?

• 50

• 100

• 25

• 75

A bike rental shop charges a $10 fee plus $2 for each hour rented. Write an equation to represent the total cost C for renting h hours. How much would it cost to rent a bike for 5 hours?

• $30

• $20

• $25

• $15