Algebra problems

1. Solve the system by addition.

x + 4y = 2

3x – 2y = –22

2. Solve the system by addition.

x + y = 8

x – y = 8

3. Solve the system by addition.

5x – 3y = 13

4x – 3y = 11

4. The sum of two numbers is 33. Their difference is 7. What are the two numbers?

5. Sally bought three chocolate bars and a pack of gum and paid $1.75. Jake bought two chocolate bars and four packs of gum and paid $2.00. Find the cost of a chocolate bar and the cost of a pack of gum.

6. Adult tickets for a play cost $16 and child tickets cost $6. If there were 25 people at a performance and the theater collected $260 from ticket sales, how many adults and how many children attended the play?

7. Solve the system by substitution.

x + 3y = –4

2x + 2y = –8