1. Unit 2: Linear Systems EOCT Review Day 1 Solving Systems Algebraically

2. Unit 2 EOCT Review Practice #1 Two small pitchers and one large pitcher can hold 8 cups of water. One large pitcher minus one small pitcher constitutes 2 cups of water. How many cups of water can each pitcher hold? A. The small pitcher holds 2 cups of water. The large pitcher holds 4 cups of water. B. The small pitcher holds 4 cups of water. The large pitcher holds 2 cups of water. C. The small pitcher holds 3 cups of water. The large pitcher holds 4 cups of water. D. The small pitcher holds 4 cups of water. The large pitcher holds 3 cups of water.

3. Work it out!

4. Practice #2 A test has twenty questions worth 100 points. The test consists of True/False questions worth 3 points each and multiple choice questions worth 11 points each. How many multiple choice questions are on the test? A. There are 10 multiple choice questions. There are 3 T/F questions. B. There are 15 multiple choice questions. There are 5 T/F questions. C. There are 3 multiple choice questions. There are 10 T/F questions. D. There are 5 multiple choice questions. There are 15 T/F questions.

5. Work it out!

6. Practice #3 Margie is responsible for buying a week's supply of food and medication for the dogs and cats at a local shelter. The food and medication for each dog costs twice as much as those supplies for a cat. She needs to feed 164 cats and 24 dogs. Her budget is $4240. How much can Margie spend on each dog for food and medication? A. She can spend $40 on each cat. She can spend $20 on each dog. B. She can spend $25 on each cat. She can spend $35 on each dog. C. She can spend $35 on each cat. She can spend $25 on each dog. D. She can spend $20 on each cat. She can spend $40 on each dog.

7. Work it out!

8. Practice #4 Bill and Steve decide to spend the afternoon at an amusement park enjoying their favorite activities, the water slide and the gigantic Ferris wheel. Their tickets are stamped each time they slide or ride. At the end of the afternoon they have the following tickets

9. Work it out! How much does it cost to ride the Ferris Wheel? How much does it cost to slide on the Water Slide?

10. Practice #5 The equations 5x + 2y = 48 and 3x + 2y = 32 represent the money collected from school concert tickets sales during two class periods. If x represents the cost for each adult ticket and y represents the cost for each student ticket, what is the cost for each adult ticket? A.The cost of an adult ticket is $4. B.The cost of an adult ticket is $6. C.The cost of an adult ticket is $8. D.The cost of an adult ticket is $10.

11. Work it out!

12. Practice #6 Solve the system of linear equations for the x-coordinate! HINT: eliminate the y-value if you want to find x. 2x + 2y = 6 3x – y = 5 A. x= 4 B. x= 2 C. x= 3 D. x= 1

13. Work it out!

14. Practice #7 You Try! Solve the system of linear equations for the x-coordinate! HINT: eliminate the y-value if you want to find x. x + 4y = 7 4x – 3y = 9 A. x= 3.16 B. x= 2.16 C. x= 4.16 D. x= 1.16

15. Work it out!

16. Practice #8 Solve the system of linear equations for the y-coordinate! HINT: eliminate the x-value if you want to find y. 3x + 4y = -1 4x – 3y = 7 A. y= -4 B. x= -1 C. y= -3 D. y= -1

17. Work it out!

18. Practice #9 You Try! Solve the system of linear equations for the y-coordinate! HINT: eliminate the x-value if you want to find y. 3x + y = 4 6x + 4y = 6 A. y= -1 B. x= -2 C. y= 3 D. x= -1

19. Work it out!

20. Can you figure out the Quotable Puzzle? You will be solving for the x-coordinate or the y-coordinate of a function.