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Advanced Algebra: Chapter 3 Review Name:__________________ Multiple Choice Identify the choice that best completes the statement or answers the question. ____ ____ 1. The system of equations y = 2x – 3 and y = 4x – 3 has a. exactly one solution. c. infinitely many solutions. b. no solution. d. exactly two solutions. 2. Choose the correct description of the system of equations. x + 2y = 7 3x – 2y = 5 a. consistent and independent c. consistent and dependent b. inconsistent d. inconsistent and dependent Solve each system of equations. ____ 3. 4x – 3y = 14 y = –3x + 4 a. (1, 1) ____ b. (–4, –10) c. (5, 2) d. (2, –2) b. (0, –83) c. (2, 0) d. 4. 4x – 3y = 8 2x + 5y = –9 a. (–2, 1) ( , –2) Learning Target: I can solve a system of linear equations by substitution or elimination. . Learning Target: I can determine whether a system of linear equations is inconsistent, consistent & dependent or consistent & independent. Advanced Algebra: Chapter 3 Review 5. Which system of inequalities is graphed? a. 2x + y 5 3x + 2y 9 b. 2x + y > –5 3x – 2y 9 c. 2x – y 5 3x + 2y < 9 d. –2x + y > 5 3x – 2y 9 Learning Target: I can solve a system of inequalities by graphing. ______________________________________________________________________________________________ Solve each system of equations by graphing. 6. 3x – 2y = 6 2x + y = 4 Learning Target: I can solve a system of equations by graphing. ______________________________________________________________________________________________ Solve each system of equations by using substitution. 7. 3x + 7y = 19 x+y=5 8. x + 3y = 12 5x + y = 4 Learning Target: I can solve a system of linear equations by substitution. Advanced Algebra: Chapter 3 Review Solve each system of equations by using elimination. 9. 3x – 2y = 4 2x + 3y = 7 10. 4x – y = 10 5x + 2y = 6 Learning Target: I can solve a system of linear equations by elimination. ______________________________________________________________________________________________ Solve each system of inequalities by graphing. 11. 4x – 3y < 9 2x + y 5 Learning Target: I can solve a system of inequalities by graphing. ______________________________________________________________________________________________ Solve each system of equations. By Hand!!!!!!!!!!! 12. x + 2y – 3z = 5 x – y + 2z = –3 x+y–z=2 Advanced Algebra: Chapter 3 Review 13. 3x + y + 2z = 1 2x – y + z = –3 x + y – 4z = –3 Learning Target: I will solve a system of 3 linear Equations Manually. ______________________________________________________________________________________________ 14. There are 49,000 seats in a sports stadium. Tickets for the seats in the upper level sell for $25, the ones in the middle level cost $30, and the ones in the bottom level are $35 each. The number of seats in the middle and bottom levels together equals the number of seats in the upper level. When all of the seats are sold for an event, the total revenue is $1,419,500. How many seats are there in each level? Learning Target: I will solve application problems involving a system of 3 linear Equations. ______________________________________________________________________________ Chapter 3 Answer Key 1. A 11. 2. A 3. D 4. D 12. (0, 1, –1) 5. B 6. (2,0) 7. (4,1) 8. (0,4) 9. (2,1) 10. (2,-2) 13. (–1, 2, 1) 14. Bottom level: 14,400 seats; middle level: 10,100 seats; upper level: 24,500 seats Advanced Algebra: Chapter 3 Review Advanced Algebra: Chapter 3 Review