Real-Life Linear Equations: Translate and Solve Problems

A store sells pencils for $0.50 each and erasers for $0.75 each. If you buy a total of 10 items and spend $6.00, how many pencils and erasers did you buy?

• 5 pencils and 5 erasers

• 4 pencils and 6 erasers

• 6 pencils and 4 erasers

• 7 pencils and 3 erasers

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

• 25

• 30

• 20

• 35

A car rental company charges a flat fee of $20 plus $0.15 per mile driven. If you drove m miles and paid a total of $35, how many miles did you drive?

• 120 miles

• 50 miles

• 75 miles

• 100 miles

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

• 40

• 50

• 30

• 25

Tom is 3 years older than his sister. If his sister is y years old, write an equation to find Tom's age. If his sister is 10 years old, how old is Tom?

• 12

• 15

• 13

• 10

A recipe requires 2 cups of flour for every 3 cups of sugar. If you have s cups of sugar, write an equation to find the amount of flour needed. If you have 9 cups of sugar, how much flour do you need?

• 6 cups of flour

• 10 cups of flour

• 4 cups of flour

• 8 cups of flour

A book costs $12 and a magazine costs $5. If you buy b magazines and spend a total of $50, how many magazines did you buy?

• 8

• 5

• 12

• 10

A swimming pool is being filled with water. If it fills at a rate of 4 gallons per minute, write an equation to represent the total gallons of water after t minutes. How many gallons will be in the pool after 15 minutes?

• 75 gallons

• 45 gallons

• 30 gallons

• 60 gallons

A school is selling tickets for a play. Adult tickets cost $10 and student tickets cost $5. If they sold a total of 50 tickets and made $400, how many adult and student tickets were sold?

• 25 adult tickets and 25 student tickets

• 40 adult tickets and 10 student tickets

• 20 adult tickets and 30 student tickets

• 30 adult tickets and 20 student tickets

A train travels at a speed of 60 miles per hour. If it travels for t hours, write an equation to find the distance traveled. How far does it travel in 3 hours?

• 180 miles

• 240 miles

• 120 miles

• 150 miles