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A2T Practice For Quiz NAME__________________________________ SYSTEMS OF EQUATIONS Solve each system of equations using the SUBSTITUTION Method. (SHOW WORK). 1. y = 4x - 9 2. 4x + 2y = 10 y=x-3 x – y = 13 Solution: _________________ Solution: __________________ Solve each system of equations using the ELIMINATION Method. (SHOW WORK). 3. –x – y = 8 4. 4x + 5y = -9 x – 3y = 8 8x – y = -7 Solution: _________________ Solve each system using MATRICES. (SHOW WORK). 5. 2x + y = 6 3x + 4y = 4 Solution: __________________ 6. Solution: _________________ 7. x + 2y = 4 3x – y = 5 Solution: _________________ y + 4z = 6 3x + z = 7 5y – z = 9 Solution: __________________ 8. 3x + y + 2z = 6 x + y + 4z = 3 2x + 3y + 2z = 2 Solution: __________________ Solve each system using any method you choose. (SHOW WORK). 9. 7x + 2y = 37 10. 3x - y = -3 y = 3x - 1 -9x + 3y = 12 Solution: _________________ Solution: __________________ Write two equations for the system. Then solve for both unknowns using ANY method learned. 11. If 8 pens and 7 pencils cost $3.37 while 5 pens and 11 pencils cost $3.10, how much does each pen and pencil cost? Solution: _________________ 12. Merline has 20 coins in quarters and dimes. The total value of the coins is $3.95. How many dimes and quarters does she have? Solution: ___________________ Write three equations for the system. Then solve for the requested variables. Use any method. 13. The manager at a movie theater tracked sales at each of the following showings of the new James Bond film. Sales data is displayed in the table below. What are the costs for a Children's, Adult's, and Senior's ticket? Write three equations and solve the system using any method. 2:00 Show 7:00 Show 9:30 Show # Children # Adults # Seniors 25 5 0 20 25 35 15 10 5 hild's $____________ Adult's $ ______________ Total Revenue $392.00 $308.00 $343.00 Senior's $________________ ALGEBRA II CHAPTER 4 TEST - PART I NO CALCULATOR NAME__________________________________ OPERATIONS WITH MATRICES Use the following matrices to calculate to answer questions # 1 - 5. If an answer is not possible - write NOT POSSIBLE ! Show your work. 1 4 A 2 6 2 0 5 B 3 1 1 6 2 3 4 C 1 2 2 E 3 5 2 D 1 3 1. What are the dimensions of C? ___________ 2. 3C = 3. D-A= 4. 2E + D = 5. AxD= 6. BxC= 7. AxE= SOLVE THE FOLLOWING SYSTEMS BY GRAPHING. SKETCH THE GRAPH AND STATE YOUR SOLUTION. 8. y = -3x + 4 9. 4x + y = 2 y = 3x – 2 x-y=3 Solution: ___________________ Solution: ________________