Solving & Graphing Systems of Equations for Grade 8

A local bakery sells cupcakes and cookies. Each cupcake costs $2 and each cookie costs $1. If the bakery made $50 from selling a total of 30 items, how many cupcakes and cookies did they sell?

• 25 cupcakes and 5 cookies

• 10 cupcakes and 20 cookies

• 20 cupcakes and 10 cookies

• 15 cupcakes and 15 cookies

A school is planning a field trip. The cost of a bus is $200 and each student pays $10. If 25 students are going, how many buses will they need to rent?

• 1

• 4

• 3

• 2

Two friends, Alex and Jamie, are saving money for a concert. Alex saves $5 a week, while Jamie saves $8 a week. If they both start with $20, how many weeks will it take for their savings to be equal?

• 2 weeks

• 1 week

• 0 weeks

• 3 weeks

A farmer has chickens and cows. If there are 20 animals in total and they have 56 legs, how many chickens and cows does the farmer have?

• 5 chickens and 15 cows

• 15 chickens and 5 cows

• 10 chickens and 10 cows

• 12 chickens and 8 cows

A movie theater sells adult tickets for $12 and child tickets for $8. If they sold 100 tickets and made $960, how many adult and child tickets were sold?

• 30 adult tickets and 70 child tickets

• 40 adult tickets and 60 child tickets

• 20 adult tickets and 80 child tickets

• 50 adult tickets and 50 child tickets

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If a customer paid $70, how many miles did they drive?

• 50 miles

• 100 miles

• 200 miles

• 150 miles

In a fruit market, apples cost $3 each and bananas cost $2 each. If a customer buys a total of 10 fruits and spends $24, how many apples and bananas did they buy?

• 6 apples and 4 bananas

• 4 apples and 6 bananas

• 5 apples and 5 bananas

• 7 apples and 3 bananas

A gym offers a monthly membership for $30 and a one-time registration fee of $20. If a member pays $80 in total, how many months did they sign up for?

• 3 months

• 1 month

• 2 months

• 4 months

Two types of plants are being grown in a garden. Type A costs $5 each and Type B costs $3 each. If a gardener buys 15 plants for a total of $60, how many of each type did they buy?

• 8 Type A plants and 7 Type B plants

• 12 Type A plants and 3 Type B plants

• 15 Type A plants and 0 Type B plants

• 10 Type A plants and 5 Type B plants

A bookstore sells novels for $15 and magazines for $5. If a customer buys a total of 12 items and spends $90, how many novels and magazines did they purchase?

• 2 novels and 10 magazines

• 4 novels and 8 magazines

• 5 novels and 7 magazines

• 3 novels and 9 magazines