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 the school sold a total of 150 tickets for $1,200, how many adult and student tickets were sold?

• 60 adult tickets and 90 student tickets

• 100 adult tickets and 50 student tickets

• 90 adult tickets and 60 student tickets

• 80 adult tickets and 70 student tickets

Two friends, Alex and Jamie, are saving money for a concert. Alex saves $15 each week, while Jamie saves $10 each week. If Alex has $30 more than Jamie after a certain number of weeks, how many weeks have they been saving?

• 8

• 10

• 4

• 6

A farmer has chickens and cows. If the total number of animals is 50 and the total number of legs is 140, how many chickens and cows does the farmer have?

• 30 chickens and 20 cows

• 15 chickens and 35 cows

• 40 chickens and 10 cows

• 25 chickens and 25 cows

A store sells pencils for $0.50 each and erasers for $1.00 each. If a student buys a total of 20 items and spends $12, how many pencils and erasers did the student buy?

• 10 pencils and 10 erasers

• 16 pencils and 4 erasers

• 12 pencils and 8 erasers

• 18 pencils and 2 erasers

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

• 15 boys and 15 girls

• 18 boys and 12 girls

• 12 boys and 18 girls

• 20 boys and 10 girls

A car rental company charges a flat fee of $20 plus $0.15 per mile driven. If a customer paid $50 for a rental, how many miles did they drive?

• 250 miles

• 100 miles

• 150 miles

• 200 miles

A bakery sells muffins for $2 each and cookies for $1.50 each. If a customer buys a total of 10 items and spends $15, how many muffins and cookies did they buy?

• 3 muffins and 7 cookies

• 0 muffins and 10 cookies

• 10 muffins and 0 cookies

• 5 muffins and 5 cookies

Two types of plants are being grown in a garden: roses and tulips. If there are 40 plants in total and the number of roses is twice the number of tulips, how many of each type of plant are there?

• 25 roses and 15 tulips

• 15 roses and 25 tulips

• 30 roses and 10 tulips

• 20 roses and 10 tulips

A local gym offers two membership plans. Plan A costs $30 per month and Plan B costs $20 per month plus a one-time fee of $60. If a customer wants to spend a total of $120, which plan should they choose and how many months can they afford?

• Choose Plan B for 5 months.

• Choose either plan for 2 months.

• Choose either Plan A or Plan B; both allow for 4 months.

• Choose Plan A for 3 months.

A bookstore sells novels for $12 each and magazines for $5 each. If a customer buys a total of 8 items and spends $66, how many novels and magazines did they buy?

• 3 novels and 5 magazines

• 4 novels and 4 magazines

• 5 novels and 3 magazines

• 2 novels and 6 magazines