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6-1 Solving Systems by Graphing 6-2 Solving Systems by Substitution

Lesson Quizzes. Preview. 6-1 Solving Systems by Graphing 6-2 Solving Systems by Substitution 6-3 Solving Systems by Elimination 6-4 Solving Special Systems 6-5 Applying Systems 6-6 Solving Linear Equalities 6-7 Solving Systems of Linear Inequalities. 6-1 Solving Systems by Graphing.

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6-1 Solving Systems by Graphing 6-2 Solving Systems by Substitution

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  1. Lesson Quizzes Preview 6-1 Solving Systems by Graphing 6-2 Solving Systems by Substitution 6-3 Solving Systems by Elimination 6-4 Solving Special Systems 6-5 Applying Systems 6-6 Solving Linear Equalities 6-7 Solving Systems of Linear Inequalities

  2. 6-1 Solving Systems by Graphing Lesson Quiz: Part I Tell whether the ordered pair is a solution of the given system. 1. (–3, 1); 2. (2, –4); no yes

  3. 6-1 Solving Systems by Graphing Lesson Quiz: Part II Solve the system by graphing. 3. 4. Joy has 5 collectable stamps and will buy 2 more each month. Ronald has 25 collectable stamps and will sell 3 each month. After how many months will they have the same number of stamps? How many will that be? y + 2x = 9 (2, 5) y = 4x – 3 4 months 13 stamps

  4. 6-2 Solving Systems by Substitution Lesson Quiz: Part I Solve each system by substitution. 1. 2. 3. y = 2x (–2, –4) x = 6y – 11 (1, 2) 3x – 2y = –1 –3x + y = –1 x – y = 4

  5. 6-2 Solving Systems by Substitution Lesson Quiz: Part II 4. Plumber A charges $60 an hour. Plumber B charges $40 to visit your home plus $55 for each hour. For how many hours will the total cost for each plumber be the same? How much will that cost be? If a customer thinks they will need a plumber for 5 hours, which plumber should the customer hire? Explain. 8 hours; $480; plumber A: plumber A is cheaper for less than 8 hours.

  6. 6-3 Solving Systems by Elimination Lesson Quiz Solve each system by elimination. 1. 2. 3. 2x + y = 25 (11, 3) 3y = 2x – 13 –3x + 4y = –18 (2, –3) x = –2y – 4 –2x + 3y = –15 (–3, –7) 3x + 2y = –23 4. Harlan has $44 to buy 7 pairs of socks. Athletic socks cost $5 per pair. Dress socks cost $8 per pair. How many pairs of each can Harlan buy? 4 pairs of athletic socks and 3 pairs of dress socks

  7. 6-4 Solving Special Systems Lesson Quiz: Part I Solve and classify each system. 1. 2. 3. y = 5x – 1 infinitely many solutions; consistent, dependent 5x – y –1 = 0 y = 4 + x no solutions; inconsistent –x + y = 1 y = 3(x + 1) consistent, independent y = x –2

  8. 6-4 Solving Special Systems Lesson Quiz: Part II 4. If the pattern in the table continues, when will the sales for Hats Off equal sales for Tops? never

  9. 6-5 Applying Systems Lesson Quiz: Part I 1. Allyson paddles her canoe 9 miles upstream in 4.5 hours. The return trip downstream takes her 1.5 hours. What is the rate at which Allyson paddles in still water? What is the rate of the current? 4 mi/h, 2mi/h 2. A pharmacist mixes Lotion A, which is 5% alcohol, with Lotion B, which is 10% alcohol, to make 50 mL of a new lotion that is 8% alcohol. How many milliliters of Lotions A and B go into the mixture? 20 mL of Lotion A and 30 mL of Lotion B.

  10. 6-5 Applying Systems Lesson Quiz: Part II 3. The sum of the digits of a two digit number is 13. When the digits are reversed, the new number is 9 less than the original number. What is the original number? 76

  11. Lesson Quiz: Part I 1. You can spend at most $12.00 for drinks at a picnic. Iced tea costs $1.50 a gallon, and lemonade costs $2.00 per gallon. Write an inequality to describe the situation. Graph the solutions, describe reasonable solutions, and then give two possible combinations of drinks you could buy. 1.50x + 2.00y ≤ 12.00

  12. 6-6 Solving Linear Equalities Lesson Quiz: Part I 1.50x + 2.00y ≤ 12.00 Only whole number solutions are reasonable. Possible answer: (2 gal tea, 3 gal lemonade) and (4 gal tea, 1 gal lemonde)

  13. 6-6 Solving Linear Equalities Lesson Quiz: Part II 2. Write an inequality to represent the graph.

  14. 6-7 Solving Systems of Linear Inequalities Lesson Quiz: Part I y < x + 2 1. Graph 5x + 2y ≥ 10 Give two ordered pairs that are solutions and two that are not solutions. Possible answer: solutions: (4, 4), (8, 6); not solutions: (0, 0), (–2, 3)

  15. 6-7 Solving Systems of Linear Inequalities Lesson Quiz: Part II 2. Dee has at most $150 to spend on restocking dolls and trains at her toy store. Dolls cost $7.50 and trains cost $5.00. Dee needs no more than 10 trains and she needs at least 8 dolls. Show and describe all possible combinations of dolls and trains that Dee can buy. List two possible combinations.

  16. Solutions 6-7 Solving Systems of Linear Inequalities Lesson Quiz: Part II Continued Reasonable answers must be whole numbers. Possible answer: (12 dolls, 6 trains) and (16 dolls, 4 trains)

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