Algebra 1: Solving Systems with Substitution & Elimination

A school is selling tickets for a play. Adult tickets cost $10 and student tickets cost $5. If the total revenue from selling 30 tickets is $200, how many adult and student tickets were sold?

• 10 adult tickets and 20 student tickets

• 15 adult tickets and 15 student tickets

• 5 adult tickets and 25 student tickets

• 20 adult tickets and 10 student tickets

Maria and John are saving money for a concert. Maria has $50 and saves $10 each week, while John has $30 and saves $15 each week. How many weeks will it take for them to have the same amount of money?

• 6 weeks

• 2 weeks

• 8 weeks

• 4 weeks

A farmer has chickens and cows. If the total number of animals is 50 and there are 150 legs in total, how many chickens and cows does the farmer have?

• 25 chickens and 25 cows

• 10 chickens and 40 cows

• 20 chickens and 30 cows

• 30 chickens and 20 cows

A store sells two types of shirts: plain shirts for $15 each and graphic shirts for $25 each. If a customer buys a total of 8 shirts and spends $160, how many of each type did they buy?

• 4 plain shirts and 4 graphic shirts

• 2 plain shirts and 6 graphic shirts

• 6 graphic shirts and 2 plain shirts

• 5 plain shirts and 3 graphic shirts

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 in the class?

• 20 boys and 10 girls

• 12 boys and 18 girls

• 15 boys and 15 girls

• 18 boys and 12 girls

A car rental company charges a flat fee of $20 plus $0.50 per mile driven. If a customer paid $65, how many miles did they drive?

• 90 miles

• 100 miles

• 70 miles

• 80 miles

Two friends, Alex and Jamie, are collecting baseball cards. Alex has 20 cards more than Jamie, and together they have 100 cards. How many cards does each friend have?

• Alex has 40 cards and Jamie has 20 cards.

• Alex has 70 cards and Jamie has 30 cards.

• Alex has 60 cards and Jamie has 40 cards.

• Alex has 50 cards and Jamie has 30 cards.

A restaurant offers a special where a burger costs $8 and a drink costs $2. If a family spends $40 on 5 burgers and drinks combined, how many of each did they order?

• 2 burgers, 3 drinks

• 5 burgers, 0 drinks

• 3 burgers, 2 drinks

• 4 burgers, 1 drink

A bookstore sells novels for $12 each and textbooks for $30 each. If a customer buys a total of 10 books and spends $240, how many novels and textbooks did they buy?

• 5 novels and 5 textbooks

• 4 novels and 6 textbooks

• 3 novels and 7 textbooks

• 2 novels and 8 textbooks

In a school, the number of students in the science club is twice the number of students in the math club. If there are 36 students in total, how many students are in each club?

• Math club: 10 students, Science club: 26 students

• Math club: 15 students, Science club: 21 students

• Math club: 18 students, Science club: 18 students

• Math club: 12 students, Science club: 24 students