Solving Real-Life Linear Equations: Grade 7 Challenges

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

• 3 pencils and 7 erasers

• 5 pencils and 5 erasers

• 4 pencils and 6 erasers

• 2 pencils and 8 erasers

Maria has twice as many marbles as John. If the total number of marbles they have together is 30, how many marbles does each person have?

• John has 20 marbles and Maria has 10 marbles.

• John has 5 marbles and Maria has 25 marbles.

• John has 10 marbles and Maria has 20 marbles.

• John has 15 marbles and Maria has 15 marbles.

A car rental company charges a flat fee of $20 plus $0.15 per mile driven. If a customer pays $35, how many miles did they drive?

• 100 miles

• 50 miles

• 120 miles

• 75 miles

A gardener is planting flowers in rows. If each row has 5 flowers and there are a total of 35 flowers, how many rows are there?

• 7

• 6

• 5

• 8

Tom is 4 years older than his sister. If the sum of their ages is 28, how old is Tom?

• 18

• 12

• 20

• 16

A recipe requires 3 cups of flour for every 2 cups of sugar. If you have 12 cups of flour, how many cups of sugar do you need?

• 4 cups of sugar

• 8 cups of sugar

• 10 cups of sugar

• 6 cups of sugar

A movie theater sells adult tickets for $10 and child tickets for $6. If a family buys 5 tickets and spends $42, how many adult tickets did they buy?

• 3

• 1

• 4

• 2

A train travels at a speed of 60 miles per hour. If it takes 2 hours to reach its destination, how far does the train travel?

• 120 miles

• 100 miles

• 90 miles

• 150 miles

Lisa has $50. She spends $x on a book and $15 on a magazine. If she has $20 left, how much did she spend on the book?

• 30

• 15

• 10

• 25

A swimming pool is being filled with water. If it fills at a rate of 200 liters per hour and it takes 5 hours to fill completely, how many liters does the pool hold?

• 1200 liters

• 1000 liters

• 800 liters

• 500 liters