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Algebra 1

Algebra 1. Unit 2 Review. Algebra 1 – Unit 2 Review.

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Algebra 1

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  1. Algebra 1 Unit 2 Review

  2. Algebra 1 – Unit 2 Review • Mrs. Fox wants to take her children to Hartford Stage to see a play. Tickets cost $55 per person, there is a handling fee of $2.00 per ticket and a parking voucher will cost $6.50. If she spends $405.50 for tickets, handling fees, and parking, how many tickets did she buy? • Define your variables, write an equation, and solve it to determine the number of tickets that Mrs. Fox bought.

  3. Algebra 1 – Unit 2 Review ANSWER • Mrs. Fox wants to take her children to Hartford Stage to see a play. Tickets cost $55 per person, there is a handling fee of $2.00 per ticket and a parking voucher will cost $6.50. If she spends $405.50 for tickets, handling fees, and parking, how many tickets did she buy? • Define your variables, write an equation, and solve it to determine the number of tickets that Mrs. Fox bought. let t = number of tickets (55 + 2)t + 6.50 = 405.50 t = 7 tickets

  4. Algebra 1 – Unit 2 Review • Phyllis the plumber is a busy lady. For service calls to homes she uses the following formula to figure out how much to charge for her labor (materials are extra of course): • c = 40n + 60 • where c is the amount she charges and n is the number of hours she works. • What is the meaning of 40 in the formula above? • What is the meaning of 60 in the formula above?

  5. Algebra 1 – Unit 2 Review ANSWER • Phyllis the plumber is a busy lady. For service calls to homes she uses the following formula to figure out how much to charge for her labor (materials are extra of course): • c = 40n + 60 • where c is the amount she charges and n is the number of hours she works. • What is the meaning of 40 in the formula above? • What is the meaning of 60 in the formula above? $40 is how much she charges for each additional hour of work. Phyllis charges $60 just to get to the house.

  6. Algebra 1 – Unit 2 Review • Phyllis the plumber is a busy lady. For service calls to homes she uses the following formula to figure out how much to charge for her labor (materials are extra of course): • c = 40n + 60 • where c is the amount she charges and n is the • number of hours she works. • If she works at a house for 2 hours, how much would she charge for labor? • A bill comes to $150. That includes $30 for materials. How long did that job take?

  7. Algebra 1 – Unit 2 Review ANSWER • Phyllis the plumber is a busy lady. For service calls to homes she uses the following formula to figure out how much to charge for her labor (materials are extra of course): • c = 40n + 60 • where c is the amount she charges and n is the • number of hours she works. • If she works at a house for 2 hours, how much would she charge for labor? • A bill comes to $150. That includes $30 for materials. How long did that job take? $140 1.5 hours

  8. Algebra 1 – Unit 2 Review • Solve the following equation. Justify each step. • x + 6x + 38 = 2(5x + 10)

  9. Algebra 1 – Unit 2 Review ANSWER • Solve the following equation. Justify each step. • x+ 6x + 38 = 2(5x + 10) • x + 6x + 38= 10x + 20 distributive property • 7x + 38= 10x + 20 combining like terms • 7x + -7x + 38= 10x – 7x + 20 subtraction property of = • 38= 3x + 20 • 38 – 20 = 3x+ 20 – 20 subtraction property of = • 18 = 3x • 18/3 = 3x/3 division property of = • 6 = x • x = 6

  10. Algebra 1 – Unit 2 Review • Solve the following equation. • – 2 =

  11. Algebra 1 – Unit 2 Review ANSWER • Solve the following equation. • – 2 = x = 7

  12. Algebra 1 – Unit 2 Review • Solve the formula y = mx + b for x.

  13. Algebra 1 – Unit 2 Review ANSWER • Solve the formula y = mx + b for x. x =

  14. Algebra 1 – Unit 2 Review • Solve the formula K = (F – 32) + 273 for F.

  15. Algebra 1 – Unit 2 Review ANSWER • Solve the formula K = (F – 32) + 273 for F. F = (K – 273) + 32

  16. Algebra 1 – Unit 2 Review • Translate each real world situation into an inequality using the appropriate inequality symbol. • You must be less than 48 inches tall to ride the kiddie rides at the amusement park. • The cost of a meal there is at least $18. • I am spending no more than $70 for the visit.

  17. Algebra 1 – Unit 2 Review ANSWER • Translate each real world situation into an inequality using the appropriate inequality symbol. • You must be less than 48 inches tall to ride the kiddie rides at the amusement park. • The cost of a meal there is at least $18. • I am spending no more than $70 for the visit. h < 48 m ≥ 18 v ≤ 70

  18. Algebra 1 – Unit 2 Review • Solve and graph.

  19. Algebra 1 – Unit 2 Review ANSWER • Solve and graph. p ≤ -5 -8 -7 -6 -5 -4 -3 -2 -1

  20. Algebra 1 – Unit 2 Review • A jar can hold no more than 500 jellybeans. There are 200 in the jar right now. You are filling it with handfuls of jellybeans taken from a bag. Each handful has 30 beans. How many handfuls can you put into the jar? • Define a variable, write an inequality , and solve.

  21. Algebra 1 – Unit 2 Review ANSWER • A jar can hold no more than 500 jellybeans. There are 200 in the jar right now. You are filling it with handfuls of jellybeans taken from a bag. Each handful has 30 beans. How many handfuls can you put into the jar? • Define a variable, write an inequality , and solve. n is the number of handfuls 30n+ 200 ≤ 500 n ≤ 10

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