Power Packet. Algebra 1 Unit 5. Name

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1 Power Packet Algebra 1 Unit 5 Name This packet may be used on your test and will be collected when you turn your test in. Write and graph linear inequalities / 1 6 Solve one-step linear inequalities / 7 15 Solve multi-step linear inequalities / 16 4 Graph linear inequalities in two variables / 5 39 Systems of linear inequalities / Write and graph linear inequality word problems / Cumulative Review / 49 58

2 Algebra 1 Unit 5 Write and Graph Linear Inequalities Questions 1 : Write an inequality for the graph. 1.. Questions 3 4: Write the word sentence as an inequality. 3. A number b multiplied by 5 is at most A number k minus 8.3 is greater than Questions 5 6: Graph the inequality on a number line. 5. g 6 6. h < 3 Algebra 1 Unit 5 Solve One-Step Linear Inequalities Questions 7 15: Solve the inequality and then graph the solution. 7. y a + 7 > n > c > x 1. 5x 30 9

3 13. x x < x 8 6 Algebra 1 Unit 5 Solve Multi-Step Linear Inequalities Questions 16 18: Solve the inequality and then graph the solution x x 4 < m Questions 19 4: Solve the inequality, if possible. 4 x g u

4 . 5 w 4 5w x < x c 5 > 3(4c + 1) Algebra 1 Unit 5 Graph Linear Inequalities in Two Variables Questions 5 30: Tell whether the ordered pair is a solution of the inequality whose graph is shown. 5. (0, 4) 6. (0, 0) 7. ( 1, ) 8. ( 1, 3) 9. (3, 3) 30. (, 1) Questions 31 36: Graph the inequality in a coordinate plane. 31. y < 5 3. x y 3x y > x 4

5 35. x + 4y > 36. 5x y 6 Questions 37 39: Write an inequality that represents the graph Algebra 1 Unit 5 Systems of Linear Inequalities Question 40: The graph below represents a system of two linear inequalities. Circle all of the points in the table that are solutions to the system. (3, 3) (1, 3) (3, 1) (3, 1) (, 1) (4, 7) Questions 41 4: Shade the region that contains the solutions to the system of inequalities. 41. y x 4. y < x 1 1 y x 5 3x + 5y < 5

6 Question 43: Choose/Circle the two inequalities from the list below that represent the system of linear inequalities graphed. 1 y x 1 y x 1 y x 3x + y < 8 3x y 8 3x + y > 8 Algebra 1 Unit 5 Write and Graph Linear Inequality Word Problems Questions 44 48: Write an inequality that represents each word problems. 44. The Bluepoint High School science department can spend no more than $4,500 on textbooks this year. The department needs to buy both Biology textbooks, which cost $48 each, and Chemistry textbooks, which cost $69 each. Let x represent the number of Biology textbooks and y represent the number of Chemistry textbooks. Write an inequality that describes this situation. 45. Jenny is knitting baby items to sell at a craft fair. She has a total of 1,00 yards of yarn to use for the items. A pair of booties uses 17 yards of yarn and a cap uses 01 yards of yarn. Let x represent the number of booties, and let y represent the number of caps. Write an inequality that describes this situation. 46. A hockey team in Livingston has made it to the playoffs. In order to make a profit on the game, at least $19,000 must be made in sales of the seats. Lower-level seats costs $60 per ticket and luxury box seats costs $130 per ticket. Let x represent the number of lower-level tickets, and let y represent the number of luxury box tickets. Write an inequality that describes this situation.

7 47. A charitable organization in Charlottesville is hosting a black tie event for charity, and the organization s members hope to raise at least $,300. Standard tickets are available for $9 each and VIP tickets are available for $49 each. Let x represent the number of standard tickets and let y represent the number of VIP tickets. Write an inequality that describes this situation. Question 48: Solve the multi-step problem. 48. You have two summer jobs at a youth center. You earn $8 per hour teaching basketball and $10 per hour teaching swimming. Let x represent the amount of time (in hours) you teach basketball each week, and let y represent the amount of time (in hours) you teach swimming each week. Your goal is to earn at least $00 a week. A. Write an inequality that describes your goal in terms of x and y. B. Graph the inequality. (label your axes by 5 s!!) C. Give three possible combinations of hours that will allow you to meet your goal.

8 Algebra 1 Unit 5 Cumulative Review Questions 49 58: Choose the best answer for each question. 49. What is the solution to this system of equations? 7x + 3y = 7 5x + 3y = 9 A. ( 9, 1) B. ( 9, 1) C. (9, 1) D. (9, 1) 50. How many solutions does the system of equations have? 5x + 7y = 1 5x + 7y = 1 A. 0 B. 1 C. D. infinitely many 51. Which is most likely the solution to the system of equations shown in the graph? A. ( 7, ) B. (0, 8) C. (, 7) D. 1,0 5. How many solutions does the system of equations in the graph have? A. 0 B. 1 C. D. infinitely many 53. What is the point of intersection of the graphs of the following lines? A. (1, 5) B. (3, 1) C. (15, 37) D. (3, 39) y = 3x 8 y = x + 7

9 54. Cinnamon rolls at the bakery cost $1.75 per roll. Muffins at the bakery cost $1.5 each. If you spent $53.50 to buy food for 38 people (each person eats one item), how many of each did you buy? A. 35 cinnamon rolls and 3 muffins B. 6 cinnamon rolls and 1 muffins C. 14 cinnamon rolls and 4 muffins D. 1 cinnamon rolls and 6 muffins 55. What is the range of the function shown? A. x is between and 7 B. x is between 3 and 6 C. y is between and 7 D. y is between 3 and What is the domain of the function shown? A. x is between and 6 B. x is between 5 and 3 C. y is between and 6 D. y is between 5 and Which is an example of the distributive property? A. 3 + (x 9)y = 3 + xy 9y B. 3 + (x 9) = (x 9) + 3 C. 3 + (x 9) = x + ( 9 + 3) D. 3 + (x 9) = 3 + (x 9) 58. Which of the following represents the domain of the relation shown? A. {A, B, C, D} B. {A, B, 150, 50} C. {150, 50, 350, 450} D. {A, 150, B, 50, C, 350, D, 450}

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