Algebra 1: Solve and Interpret Systems of Equations

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

• 80 adult tickets and 70 student tickets

• 100 adult tickets and 50 student tickets

• 60 adult tickets and 90 student tickets

Maria has twice as many dimes as nickels. If the total value of her coins is $3.30, how many dimes and nickels does she have?

• 5 nickels and 10 dimes

• Maria has 6 nickels and 12 dimes.

• 8 nickels and 16 dimes

• 10 nickels and 20 dimes

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

• 10 chickens and 10 cows

• 5 chickens and 15 cows

• 12 chickens and 8 cows

• 15 chickens and 5 cows

Two friends, Alex and Jamie, are collecting stamps. Alex has 3 more stamps than Jamie, and together they have 27 stamps. How many stamps does each friend have?

• Alex has 12 stamps and Jamie has 15 stamps.

• Alex has 15 stamps and Jamie has 12 stamps.

• Alex has 10 stamps and Jamie has 17 stamps.

• Alex has 20 stamps and Jamie has 7 stamps.

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. If a customer paid $54, how many miles did they drive?

• 80 miles

• 150 miles

• 100 miles

• 120 miles

In a class, the number of boys is 5 more than the number of girls. If there are 30 students in total, how many boys and girls are in the class?

• 17 boys and 13 girls

• 15 boys and 15 girls

• 20 boys and 10 girls

• 10 boys and 20 girls

A store sells pencils for $0.50 each and erasers for $0.75 each. If a customer buys a total of 20 items and spends $12.50, how many pencils and erasers did they buy?

• 10 pencils and 10 erasers

• 15 pencils and 5 erasers

• 12 pencils and 8 erasers

• 5 pencils and 15 erasers

A concert hall has two types of seating: regular seats and VIP seats. If the total number of seats is 200 and the total revenue from ticket sales is $3,000, with regular seats priced at $10 and VIP seats at $20, how many of each type of seat were sold?

• 100 regular seats and 100 VIP seats

• 150 regular seats and 50 VIP seats

• 200 regular seats and 0 VIP seats

• 50 regular seats and 150 VIP seats

Samantha and her brother are saving money for a video game. Samantha has $5 more than her brother, and together they have $45. How much money does each of them have?

• Samantha has $30 and her brother has $15.

• Samantha has $25 and her brother has $20.

• Samantha has $20 and her brother has $25.

• Samantha has $10 and her brother has $35.

A bakery sells muffins and cookies. If the total number of baked goods is 50 and the total revenue is $200, with muffins priced at $4 each and cookies at $2 each, how many muffins and cookies did the bakery sell?

• 25 muffins and 25 cookies

• 40 muffins and 10 cookies

• 50 muffins and 0 cookies

• 30 muffins and 20 cookies