WorksheetsSystems of Equations with Matrices and the Graphing Calculator
Total questions: 6
Worksheet time: 38mins
Name
Class
Date
1.
Solve the system.
a)
No Solution
b)
Infinitely Many Solutions
c)
(2, -1, 5)
d)
(3, -2, 1)
2.
The matrix equation shown can be represented as
A⋅X = B . What work should be done to solve the matrix equation?a)
Multiply A ⋅ B−1
b)
Multiply A−1⋅B
c)
Add A + B
d)
Multiply A ⋅ B
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
a)
x+y+z=370
20x+50y+z=100
2x=y
b)
x+y+z=10
20x+50y+100z=370
x=2y
20x+50y+100z=370
x=2y
c)
2x+y+z=370
20x+50y+100z=2
2z=x
4.
The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Which equations represents the system that could be used?
a)
1s + 3c = 38
2s + 3c = 52
2s + 3c = 52
b)
3s + 1c = 38
3s + 2c = 52
3s + 2c = 52
c)
s + c = 38
s + c = 52
s + c = 52
d)
3s + 3c = 38
1s + 2c = 52
1s + 2c = 52
5.
Solve the system.
a)
(5, -6, 3)
b)
(2, 3, -1)
c)
(-4, 2, 5)
d)
No Solution
6.
Solve the following system by graphing. What is the solution?
a)
(-4, 2)
b)
(4, 2)
c)
(2, -4)
d)
(2, 4)
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