Translating Word Problems into Equations and Inequalities

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

• $2.00

• $5.00

• $3.00

• $7.50

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. How many marbles does Maria have if John has 5?

• 15

• 20

• 25

• 10

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. What is the total cost for driving 100 miles?

• $50

• $15

• $20

• $35

Tom is 4 years older than his sister. If his sister is s years old, write an equation to express Tom's age. How old is Tom if his sister is 12?

• 10

• 16

• 18

• 14

A school is planning a field trip and needs to raise at least $500. If each student contributes x dollars, write an inequality to represent the number of students needed if there are 25 students. How much does each student need to contribute to meet the goal?

• Each student needs to contribute at least $15.

• Each student needs to contribute at least $20.

• Each student needs to contribute at least $25.

• Each student needs to contribute at least $10.

A recipe requires 2 cups of flour for every 3 cups of sugar. Write an equation to express the relationship between flour f and sugar s. How many cups of flour are needed if you use 9 cups of sugar?

• 6 cups of flour

• 4 cups of flour

• 12 cups of flour

• 3 cups of flour

A concert hall has a seating capacity of 300. If x tickets are sold, write an inequality to represent the number of tickets that can still be sold. How many tickets can still be sold if 250 tickets have been sold?

• 50

• 100

• 75

• 25

A gardener is planting flowers in rows. If each row has 5 flowers and there are r rows, write an equation to express the total number of flowers f. How many flowers are there if there are 8 rows?

• 40

• 50

• 25

• 30

A book costs $15, and you have a budget of b dollars. Write an inequality to represent how many books you can buy. How many books can you buy if your budget is $50?

• 5

• 2

• 4

• 3

A swimming pool can hold 20,000 liters of water. If it is currently filled with w liters, write an inequality to express how much more water can be added. How much more water can be added if the pool currently has 15,000 liters?

• 7000 liters

• 3000 liters

• 5000 liters

• 10000 liters