8th Grade Algebra: Mastering Substitution & Elimination

A farmer has chickens and cows. If the total number of animals is 30 and the total number of legs is 100, how many chickens and cows does he have? Use the elimination method.

• 12 chickens and 18 cows

• 15 chickens and 15 cows

• 5 chickens and 25 cows

• 10 chickens and 20 cows

Two friends, Alex and Jamie, are collecting stickers. Alex has 5 more stickers than Jamie. Together, they have 45 stickers. How many stickers does each friend have? Use the substitution method.

• Alex has 20 stickers and Jamie has 25 stickers.

• Alex has 10 stickers and Jamie has 35 stickers.

• Alex has 30 stickers and Jamie has 15 stickers.

• Alex has 25 stickers and Jamie has 20 stickers.

A school is selling tickets for a play. Adult tickets cost $10 and student tickets cost $5. If they sold a total of 200 tickets for $1500, how many adult and student tickets were sold? Use the elimination method.

• 50 adult tickets and 150 student tickets were sold.

• 100 adult tickets and 100 student tickets were sold.

• 200 adult tickets and 0 student tickets were sold.

• 150 adult tickets and 50 student tickets were sold.

In a bookstore, the total number of books is 120. If the number of fiction books is twice the number of non-fiction books, how many fiction and non-fiction books are there? Use the substitution method.

• Fiction books: 100, Non-fiction books: 20

• Fiction books: 60, Non-fiction books: 60

• Fiction books: 50, Non-fiction books: 70

• Fiction books: 80, Non-fiction books: 40

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? Use the elimination method.

• 100 miles

• 200 miles

• 150 miles

• 50 miles

A concert hall has two types of seating: regular and VIP. If the total number of seats is 500 and the VIP seats are 100 more than regular seats, how many regular and VIP seats are there? Use the substitution method.

• Regular seats: 200, VIP seats: 300

• Regular seats: 150, VIP seats: 350

• Regular seats: 300, VIP seats: 200

• Regular seats: 250, VIP seats: 250

A bakery sells muffins and cookies. If the total number of baked goods is 80 and the number of muffins is 20 more than cookies, how many muffins and cookies are there? Use the elimination method.

• 50 muffins and 30 cookies

• 30 muffins and 50 cookies

• 60 muffins and 20 cookies

• 40 muffins and 40 cookies

In a fruit market, the total number of apples and oranges is 150. If there are 30 more apples than oranges, how many apples and oranges are there? Use the substitution method.

• 80 apples and 70 oranges

• 60 apples and 90 oranges

• 90 apples and 60 oranges

• 100 apples and 50 oranges

A gym has two types of memberships: basic and premium. If the total number of memberships is 250 and the number of premium memberships is 50 less than twice the basic memberships, how many basic and premium memberships are there? Use the elimination method.

• 90 basic memberships and 160 premium memberships.

• 120 basic memberships and 130 premium memberships.

• 100 basic memberships and 150 premium memberships.

• 80 basic memberships and 170 premium memberships.

A movie theater sold a total of 300 tickets for two movies. If the first movie sold 50 more tickets than the second movie, how many tickets were sold for each movie? Use the substitution method.

• First movie: 180 tickets, Second movie: 120 tickets

• First movie: 150 tickets, Second movie: 150 tickets

• First movie: 200 tickets, Second movie: 100 tickets

• First movie: 175 tickets, Second movie: 125 tickets