Solving and Graphing Systems of Equations for Grade 8

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 for $400, how many adult and student tickets were sold?

• 25 adult tickets and 25 student tickets

• 30 adult tickets and 20 student tickets

• 40 adult tickets and 10 student tickets

• 20 adult tickets and 30 student tickets

Maria has twice as many apples as John. Together, they have 18 apples. How many apples does each person have?

• John has 8 apples and Maria has 10 apples.

• John has 4 apples and Maria has 14 apples.

• John has 9 apples and Maria has 9 apples.

• John has 6 apples and Maria has 12 apples.

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. If a customer paid $50, how many miles did they drive?

• 100 miles

• 120 miles

• 50 miles

• 75 miles

In a fruit basket, there are oranges and bananas. If there are 3 times as many bananas as oranges and the total number of fruits is 40, how many of each type of fruit are there?

• 15 oranges and 25 bananas

• 20 oranges and 20 bananas

• 5 oranges and 35 bananas

• 10 oranges and 30 bananas

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?

• 6 novels and 2 magazines

• 3 novels and 5 magazines

• 4 novels and 4 magazines

• 5 novels and 3 magazines

Two friends, Alex and Jamie, are saving money for a concert. Alex saves $5 a week, while Jamie saves $3 a week. If they want to save a total of $50 together, how many weeks will it take for them to reach their goal?

• 5 weeks

• 10 weeks

• 8 weeks

• 7 weeks

A gardener is planting flowers and shrubs. Each flower costs $3 and each shrub costs $5. If the gardener spends $45 and plants a total of 15 plants, how many flowers and shrubs did they plant?

• 5 flowers and 10 shrubs

• 0 flowers and 15 shrubs

• 15 flowers and 0 shrubs

• 10 flowers and 5 shrubs

In a class, the ratio of boys to girls is 2:3. If there are 30 students in total, how many boys and girls are in the class?

• 10 boys and 20 girls

• 8 boys and 22 girls

• 15 boys and 15 girls

• 12 boys and 18 girls

A pet store has cats and dogs. If there are 4 times as many cats as dogs and the total number of pets is 50, how many cats and dogs are there?

• 15 dogs and 35 cats

• 10 dogs and 40 cats

• 5 dogs and 45 cats

• 20 dogs and 30 cats

A local gym offers a monthly membership for $25 and a yearly membership for $250. If 100 members choose the monthly plan and 50 choose the yearly plan, how much total revenue does the gym earn from memberships?

• 10000

• 20000

• 12000

• 15000