Mastering Systems of Equations: Elimination & Substitution

A school is selling tickets for a play. Adult tickets cost $10 and student tickets cost $5. If they sold a total of 150 tickets for $1,200, how many adult and student tickets were sold?

• 90 adult tickets and 60 student tickets

• 60 adult tickets and 90 student tickets

• 80 adult tickets and 70 student tickets

• 100 adult tickets and 50 student tickets

Tags

CCSS.8.EE.C.8C

Maria and John are saving money for a new bike. Maria saves $5 each week, while John saves $8 each week. If Maria has $20 more than John after a certain number of weeks, how many weeks have they been saving?

• 6

• 8

• 10

• 4

A farmer has chickens and cows. If there are 30 animals in total and the total number of legs is 100, how many chickens and cows does the farmer have?

• 15 chickens and 15 cows

• 10 chickens and 20 cows

• 20 chickens and 10 cows

• 5 chickens and 25 cows

Tags

CCSS.8.EE.C.8C

In a bookstore, the price of a novel is $12 and the price of a magazine is $4. If a customer buys a total of 10 items for $80, how many novels and magazines did they buy?

• 4 novels and 6 magazines

• 3 novels and 7 magazines

• 5 novels and 5 magazines

• 6 novels and 4 magazines

Tags

CCSS.8.EE.C.8C

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

• 50 miles

• 200 miles

• 150 miles

• 100 miles

Tags

CCSS.7.EE.B.4A

Two friends, Alex and Jamie, are collecting stickers. Alex has twice as many stickers as Jamie. Together, they have 36 stickers. How many stickers does each friend have?

• Alex has 18 stickers and Jamie has 18 stickers.

• Alex has 30 stickers and Jamie has 6 stickers.

• Alex has 12 stickers and Jamie has 24 stickers.

• Alex has 24 stickers and Jamie has 12 stickers.

Tags

CCSS.8.EE.C.8C

A concert hall has two types of seating: regular seats and VIP seats. Regular seats cost $50 each, and VIP seats cost $100 each. If the total revenue from 200 seats sold is $12,000, how many of each type of seat were sold?

• 150 regular seats and 50 VIP seats

• 100 regular seats and 100 VIP seats

• 160 regular seats and 40 VIP seats

• 180 regular seats and 20 VIP seats

Tags

CCSS.8.EE.C.8C

A bakery sells two types of cookies: chocolate chip and oatmeal. Chocolate chip cookies cost $2 each, and oatmeal cookies cost $1.50 each. If a customer buys a total of 20 cookies for $30, how many of each type did they buy?

• 15 chocolate chip cookies and 5 oatmeal cookies

• 0 chocolate chip cookies and 20 oatmeal cookies

• 5 chocolate chip cookies and 15 oatmeal cookies

• 10 chocolate chip cookies and 10 oatmeal cookies

Tags

CCSS.8.EE.C.8C

In a fruit market, apples cost $3 each and bananas cost $2 each. If a customer buys a total of 15 fruits for $36, how many apples and bananas did they buy?

• 7 apples and 8 bananas

• 6 apples and 9 bananas

• 4 apples and 11 bananas

• 5 apples and 10 bananas

Tags

CCSS.8.EE.C.8C

A gym offers two types of memberships: monthly and yearly. A monthly membership costs $30, while a yearly membership costs $300. If a total of 50 memberships were sold for $1,200, how many monthly and yearly memberships were sold?

• 30 monthly and 20 yearly memberships

• 40 monthly and 10 yearly memberships

• 46 monthly and 4 yearly memberships

• 50 monthly and 0 yearly memberships

Tags

CCSS.8.EE.C.8C