Lesson 5 CYP2

1. 12-18 Honors Algebra Warm-up Solve the following system of equations • A • B • C • D x + 3y = 7 2x - 4y = -6 Lesson 5 CYP2

2. 13. 880 books; If they sell this number, then their income and expenses both equal $35,200. 14. Substitution; (8,11) 15. Elimination (x); (-6, 2) 16. Elimination (–); (16, 8) 17. Let x = the cost per pound of aluminum cans and let y = the cost per pound of newspaper. Mara: 9x + 26y = 3.77 Ling: 9x + 114y = 4.65 18. $0.39 HW: p. 283 #6-18 • Elimination (+); (2, -3) • Substitution; (2, 6) • Substitution; No Solution • Elimination (x) or substitution; (3, 1) • Substitution; Infinitely Many Solutions • Elimination (–) ; No solution • x + y = 40 y = 3x – 4 29 movies, 11 television shows

3. A.B. C.D. 1. Which choice shows a graph of the system of equations, x + y = 3 and y = –x. Does the system have, no solution, one solution, or infinitelymany solutions? • A • B • C • D 5Min 2-1

4. A.(5, 2) B. C.(2, 5) D.(5, 14) 2. Which is the point of intersection of the lines described by y = 3x – 1 and y = 5? • A • B • C • D 5Min 2-4

5. 3. The Student Council sold pennants and pom-poms. The pom-poms cost $0.75 more than the pennants. Two pennants and two pom-poms cost $6.50. What are the prices for the pennants and the pom-poms? A. pennants: $1.20 pom-poms: $1.95 B. pennants: $2.00pom-poms: $1.25 C. pennants: $1.25pom-poms: $0.50 D. pennants: $1.25pom-poms: $2.00 5Min 4-5

6. 4. Two hiking groups made the purchases shown in the table. What is the cost of each item? • A • B • C • D • muffin: $1.60granola bar: $1.25 • B. muffin: $1.00granola bar: $2.45 • C. muffin: $1.20granola bar: $2.00 • D. muffin: $1.25granola bar: $1.60 5Min 5-5

7. 5. Today Tom has $100 in his savings account, and plans to put $25 in the account every week. Maria has nothing in her account, but plans to put $50 in her account every week. In how many weeks will they have the same amount in their accounts? How much will each person have saved at that time? • A • B • C • D A. 4 weeks; $2000 B. 4 weeks; $200 C. 2 weeks; $150 D. 2 weeks; $100 5Min 2-3

8. 6. Angles A and B are complementary, and the measure of angle A is 14º less than the measure of angle B. Find the measures of angles A and B. • A • B • C • D A.A = 52º; B = 38º B.A = 38º; B = 52º C.A = 42º; B = 48º D.A = 48º; B = 42º 5Min 3-5

9. A.B. C.D. (over Lesson 5-1) • A • B • C • D Which choice shows a graph of the system of equations, 3x = 11 – y and x – 2y = 6. Does the system have, no solution, one solution, or infinitely many solutions? 5Min 2-2

10. (over Lesson 5-2) • A • B • C • D Use substitution to solve the system of equations x = –2y and x + y = 4. If the system does not have exactly one solution, state whether it has no solution or infinitely many solutions. A. (8, –4) B. (–8, 4) C. no solution D. infinitely many solutions 5Min 3-1

11. Use substitution to solve the system of equationsIf the system does not have exactly one solution, state whether it has nosolution or infinitely many solutions. A. B. C.no solutionD. infinitely many solutions (over Lesson 5-2) • A • B • C • D 5Min 3-2

12. (over Lesson 5-2) • A • B • C • D Use substitution to solve the system of equations 0.3s = –0.4r + 0.1 and 4r + 3s = 8. If the system does not have exactly one solution, state whether it has no solution or infinitely many solutions. A. (3, 4) B. (0.3, 0.4) C. no solution D. infinitely many solutions 5Min 3-3

13. (over Lesson 5-2) • A • B • C • D The sum of two numbers is 31. The greater number is 5 more than the lesser number. What are the two numbers? A. 13, 18 B. 12, 17 C. 8, 13 D. 7, 12 5Min 3-4

14. A.(2, 1) B.(2, –1) C. D. (over Lesson 5-3) • A • B • C • D Use elimination to solve the system of equations 5x + y = 9 and 3x – y = 7. 5Min 4-1

15. (over Lesson 5-3) • A • B • C • D Use elimination to solve the system of equations2x + 4y = –8 and 2x + y = 1. A. (2, –3) B. (–2, 3) C. (–2, –3) D. (2, 3) 5Min 4-2

16. A. B. C. D. (over Lesson 5-3) • A • B • C • D Use elimination to solve the system of equations x – 3y = 2 and 6x + 3y = –2. 5Min 4-3

17. (over Lesson 5-3) • A • B • C • D Find two numbers whose sum is 151 and whose difference is 7. A. 65, 72 B. 72, 79 C. 74, 81 D. 79, 86 5Min 4-4

18. A • B • C • D 5. A certain United States flag has a perimeter of 58 feet. The length of the flag is 9 feet longer than the width. What are the dimensions of this flag? A. 9 feet by 18 feet B. 18 feet by 27 feet C. 10 feet by 19 feet D. 20 feet by 29 feet 5Min 4-6

19. (over Lesson 5-4) • A • B • C • D Use elimination to solve the system of equations2a + b = 19 and 3a – 2b = –3. A. (5, 6) B. (5, –6) C. (5, 9) D. (5, 29) 5Min 5-1

20. (over Lesson 5-4) • A • B • C • D Use elimination to solve the system of equations4x + 7y = 30 and 2x – 5y = –36. A. (3, 6) B. (–3, 6) C. (–33, –6) D. (–3, –6) 5Min 5-2

21. (over Lesson 5-4) • A • B • C • D Determine the best method to solve the system of equations y = 2x and 2x + y = 10. Then solve the system. A. elimination; (2.5, 2.5) B. elimination; no solution C. substitution; infinitely many D. substitution; (2.5, 5) 5Min 5-3

22. (over Lesson 5-4) • A • B • C • D Determine the best method to solve the system of equations 8x + 12y = 1 and 2x + 3y = 6. Then solve the system. A. elimination; no solution B. substitution; (0, 0) C. elimination; (–11, 0) D. substitution; infinitely many 5Min 5-4

23. (over Lesson 5-4) • A • B • C • D Determine the number of solutions of the system y = x and y = –1. A. 0 B. 1 C. 2 D. infinitely many 5Min 5-6