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System of Linear Inequalities for Working Hours and Income

Determine the maximum number of hours you can work at each job while earning at least $254 per week.

harryajohnson
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System of Linear Inequalities for Working Hours and Income

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  1. Warm-up You can work a total of no more then 41 hours each week at your two jobs. Housecleaning pays $5 per hour and your sales job pays $8 per hour. You need to earn at least $254 each week to pay your bills. Write a system of inequalities that shows the various numbers of hours you can work at each job. x = housecleaning y = sales job Hours: x + y ≤ 41 Money: 5x + 8y ≥ 254

  2. Questions over WS/HW

  3. iRespond Turn the remote on. Pin? (lunch id) Press Send

  4. 1. A printing company will charge $6 plus $0.07 per page. Another company will charge $24 plus $0.04 per page for the same project. For how many pages will the costs be the same regardless of which company is used? • 330 • 400 • 600 • 1000

  5. 2. Solve by elimination. • (1, 2) • (-1, 4) • (1, -4) • (-1, 2)

  6. 3. Joe spent $7.75 to purchase 23 snacks the club meeting. Chips are $0.25 and pretzels are $0.50. How many of each type of snack did Joe buy? • 8 chips, 15 pretzels • 15 chips, 8 pretzels • 11 chips, 12 pretzels • 12 chips, 11 pretzels

  7. 4. How many solutions does the systems have? • None • Exactly One • Exactly Two • Infinitely Many

  8. 5. The solution of which linear inequality is graphed below? • y < -x • y > -x • y ≤ -x • y ≥ - x

  9. 6. Tickets to the carnival cost $9.00 for adults and $7.50 for children. A group of 11 people went to the carnival and paid $87 for tickets. How many adult tickets were purchased? How many children’s tickets were purchased? • 3 adult’s tickets, 8 children’s tickets • 8 adult’s tickets, 3 children’s tickets • 5 adult’s tickets, 6 children’s tickets • Can’t be determined from the given information

  10. 8. The ordered pair (-6, 2) is a solution of which system of equations? • B. • C. D.

  11. 9. The equations 5x + 2y = 48 and 3x + 2y = 32 represent the money collected from school concert ticket sales during two class periods. If x represents the cost for each adult ticket and y represents the cost for each student ticket, what is the cost for each adult ticket? • $20 • $10 • $8 • $4

  12. 10. Which property is shown below? • Commutative property of multiplication • Associative property of multiplication • Multiplication property of equality • Identity property of multiplication

  13. 11. Which pair is NOT a solution of the system of inequalities? • (0, 0) • (-1, 2) • (4, 1) • (2, 2)

  14. 12. Which system of inequalities is represented by the graph? A. B. C. D.

  15. 13. When solving a system of linear equations and both variables cancel out and all that’s left is -10 = 0, what do you know about the graphs? • The graphs coincide • The graphs intersect • The graphs are parallel • The graphs are perpendicular

  16. 14. Solve the inequality • x > -7 • x < -14 • x > 35 • x < -35

  17. Results… How well did you do? Wait, I will send you your score.

  18. Homework • Review WS/HW • STUDY! • Test Monday!!!

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