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WorksheetsUnit 3.7 Assignment
Total questions: 20
Worksheet time: 3hrs 20mins
⌈12 −3⌉
⌊−6 15⌋
*detA= ad-bc
x − y = 3
7x − y = −3
-x+6y-z=6
2x+y-3z=16
-x+5y+3z=-7
Is (-2,4) a solution to the system?
Hint: is it in the shaded area?
Solution
Not a solution
2x+y=0
x+3y-z=-11
7x+5y+4z=21
For the Summer Rock Festival, there is one price for students, one for adults, and another for senior
citizens. The Rueda family bought 3 student tickets and 2 adult tickets for $104. The Cosentinos bought 5
student tickets, 1 adult ticket, and 2 senior citizen tickets for $155. The Cragins bought 2 of each for $126. How much is each ticket?
Students $18
Adults $25
Seniors $20
Students $25
Adults $20
Seniors $18
Students $18
Adults $20
Seniors $25
Students $20
Adults $18
Seniors $25
Ms. Mac went to Ulta to buy make up. She bought 15 items and spent $239.50. She bought concealors, eyeshadows, and lipsticks. Each concealor cost $21.50, each eyeshadow cost $10.50 and each lipstick cost $17.50. She bought 2 more lipsticks than eyeshadows. How many of each item did she buy?
concealors-3
eyeshadows-5
lipstick-7
concealors-5
eyeshadows-3
lipstick-7
concealors-7
eyeshadows-5
lipstick-3
concealors-3
eyeshadows-7
lipstick-3
An MLB stadium sells three types of tickets. Reserved tickets are sold for $20 each, field level tickets are sold for $50 each, and box seat tickets are sold for $100 each. You purchase 10 total tickets for $370. You have twice as many reserved tickets as field level tickets. Set up the system using the variables
x: reserved
y: field-level
z: box seats
x+y+z=370
20x+50y+z=100
2x=y
20x+50y+100z=370
x=2y
2x+y+z=370
20x+50y+100z=2
2z=x
