Solving & Graphing Systems of Equations: Grade 8 Quiz

1. 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? Check your solution for accuracy and graph the total number of items on a number line.

• 4 pencils and 6 erasers

• 5 pencils and 5 erasers

• 7 pencils and 3 erasers

• 6 pencils and 4 erasers

2. Two friends, Alex and Jamie, are collecting stickers. Alex has 5 more stickers than Jamie, and together they have 35 stickers. How many stickers does each friend have? Verify your solution and represent the number of stickers on a number line.

• Jamie has 10 stickers, Alex has 25 stickers.

• Jamie has 20 stickers, Alex has 15 stickers.

• Jamie has 5 stickers, Alex has 30 stickers.

• Jamie has 15 stickers, Alex has 20 stickers.

3. A farmer has chickens and cows. If the total number of animals is 20 and the number of chickens is 4 less than twice the number of cows, how many chickens and cows does the farmer have? Check your solution and graph the number of each animal on a number line.

• Cows: 8, Chickens: 12

• Cows: 10, Chickens: 10

• Cows: 7, Chickens: 14

• Cows: 5, Chickens: 15

4. In a school, the number of boys is twice the number of girls. If there are 36 students in total, how many boys and girls are there? Confirm your solution and illustrate the total number of students on a number line.

• 12 boys and 24 girls

• There are 24 boys and 12 girls.

• 30 boys and 6 girls

• 18 boys and 18 girls

5. 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? Check your solution for accuracy and graph the miles on a number line.

• 75 miles

• 120 miles

• 50 miles

• 100 miles

6. A concert has two types of tickets: regular tickets for $30 and VIP tickets for $50. If 100 tickets were sold for a total of $4000, how many of each type of ticket were sold? Verify your solution and represent the ticket counts on a number line.

• 70 regular tickets and 30 VIP tickets were sold.

• 80 regular tickets and 20 VIP tickets were sold.

• 60 regular tickets and 40 VIP tickets were sold.

• 50 regular tickets and 50 VIP tickets were sold.

7. Sarah and Tom are saving money for a video game. Sarah has $10 more than Tom, and together they have $70. How much money does each person have? Check your solution and graph their savings on a number line.

• Tom has $20 and Sarah has $50.

• Tom has $25 and Sarah has $45.

• Tom has $35 and Sarah has $35.

• Tom has $30 and Sarah has $40.

9. A bookstore sells novels for $12 each and magazines for $5 each. If a customer buys 8 items for a total of $70, how many novels and magazines did they buy? Check your solution for accuracy and graph the quantities on a number line.

• 4 novels and 4 magazines

• 6 novels and 2 magazines

• 3 novels and 5 magazines

• 5 novels and 3 magazines

10. In a class, the number of boys is 3 more than the number of girls. If there are 27 students in total, how many boys and girls are there? Confirm your solution and represent the number of boys and girls on a number line.

• 14 boys and 13 girls

• There are 15 boys and 12 girls.

• 16 boys and 11 girls

• 10 boys and 17 girls