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Chapter 5 Review

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  • Solve the system of linear equations using any method. Write your answer as an ordered pair. -18x+3y=-2 and y=6x-2
    No solution
  • Solve the system of linear equations using any method. Write your answer as an ordered pair. -18x+8y=12 and -9x+4y=6
    Infinitely many solution
  • Solve the system of linear equations using any method. Write your answer as an ordered pair. 6x-3y=27 and 6x-9y=-27
    (9,9)
  • Julia and Totsakan are selling blueberry pies and blackberry pies. Julia sold 5 blueberry pies and 10 blackberry pies for $155. Totsakan sold 9 blueberry pies and 5 blackberry pies for $136. What is the cost each of one?
    Blueberry is $9 and blackberry is $11
  • Jenny is selling tickets to a play. On the first day of ticket sales the school sold 10 senior tickets and 7 child tickets for $135. The school took in $65 on the second day by selling 3 senior tickets and 7 child tickets.
    Senior Ticket is $10, and a Child ticket is $5
  • Solve the following by graphing. y=(4/3)x-3 and y=(-1/3)x+2
    (3,1)
  • Which method would you use to solve the following? y=2x-4 and y=10x+5
    Substitution
  • Ndiba and Paul each improved their yards by planting daylilies and shrubs. Ndiba spent $152 on 9 daylilies and 4 shrubs. Paul spent $185 on 9 daylilies and 7 shrubs. Find the cost of one daylily and the cost of one shrub.
    Daylily: $12 and Shrub: $11
  • Which method would you use to solve the following? x=6-3y and x+10y=15
    Substitution
  • Solve the system of linear equations using any method. Write your answer as an ordered pair. 5x+8y=-19 and 6x+4y=-6
    (1,-3)
  • School A and High School B both planned trips to Disneyland. High School A rented and filled 10 vans and 12 buses with 520 students. High School B rented and filled 7 vans and 6 buses with 280 students. How many fit in each?
    Van fits 10, bus fits 35
  • Which method would you use to solve the following? 2x+3y=5 and -2x+4y=10
    Elimination
  • Solve the system of linear equations using any method. Write your answer as an ordered pair. y=3x+4 and y=2x+12
    (8, 28)
  • The admission fee at a small fair is $1.50 for children and $4.00 for adults. On a certain day, 2200 people enter the fair and $5050 is collected. How many children and how many adults attended?
    1500 children and 700 adults
  • Solve the following by graphing y=2x+8 and y=(-5/2)x-1
    (-2,4)
  • At his joke shop, George Weasley sells 25 fake wands and 21 extendable ears. From that alone, he makes 523 galleons. If a fake wand costs 10 galleons, how much does one extendable ear cost?
    13 galleons
  • Luna and Neville each improved their yards by planting devil's snare and geraniums. Luna spent 94 sickles on 4 devil's snare and 6 geraniums. Neville spent 194 on 14 devil's snare, and 6 geraniums. What is the cost of each?
    10 sickles for Devil's snare, and 9 sickles for geraniums.
  • Solve the system of linear equations using any method. Write your answer as an ordered pair. 7x+2y=8 and y=x-5
    (2,-3)
  • Which method would you use to solve the following? 4x+y=10 and x-5y=90
    Either
  • Solve the following by graphing. y=(-1/4)x-2 and y=-(1/4)x-8
    No solution
  • Solve the system of linear equations using any method. Write your answer as an ordered pair. y=3x-2 and y=2x-4
    (-2,-8)
  • You’re going to the mall with your friends and you have $200 to spend. A store has all jeans for $25 and all dresses for $50. You take home 6 items of clothing. How many dresses and jeans did you buy?
    4 pairs of jeans and 2 dresses