MFM 2P1
So1vin Linear Systems Review
1 What does it mean to solve a system of equations?
.
2. Solve the following systems by graphing. Use the slope and y-intercept to graph. Fully label the grid.
1
y=x+4
y = —x +1
Therefore the solutions is
4. Solve the following systems by graphing. Use the x- and y-intercepts to graph.
x+2y=2
—4x+8y =—24
Therefore the solutions is
5. Solve the following systems using substitution.
a)
—5x+3y=13
y=2x+5
b)
y=—3x+9
y=2x—1
6. Solve the following system of linear equations using elimination.
a)
2x—3y=—1
x+3y=13
b)
5x+6y=—11
3x+y=—4
_________________________________
c)
2x—5y=26
5x—4y=31
7. Two ultra high speed internet service providers are competing for your business.
The equation C = O.02t + 10 represents the total cost per day charged by “Internet Pros” for time used.
The equation C = O.05t + 4 represents the total cost per day charged by “The Net”
Cost vs. Time
C
The Net
Cost ($)
Time (mm)
a) When will it be cheaper for a person to use “The Net”?
b) When will it be cheaper for a person to use “Internet Pros”?
c) When will the cost be the same?
d) Suppose a person spends 400 minutes on the internet per week.
What internet service provider should he choose for the cheapest price?
8. “Top Notch” Stables charges $15 per hour, including insurance, for a trail ride.
“Able” Stables charges $ 1 1 per hour and $ 1 2 for insurance.
A linear system that represents the cost C dollars for h hours of riding is:
“Top Notch”
C = 15h
“Able”
C=llh+12
a) Solve the linear system.
b) Explain what the solution represents.
9. Three soccer ball and two footballs cost $195
Two soccer balls and three footballs cost $205
By setting up a system of linear equations determine the cost of one football.
10. Six thousand people attend a concert. The ticket prices were $70 and $50.
The total revenue from the concert was $330 000
By setting up a system of linear equations determine how many tickets of each price were sold?
MFM 2P1
So1vin Linear Systems Review
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The equation C = O.05t + 4 is the equation used to calculate the total cost per
week charged by “The
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“Able” Stables charges $ 1 1 per hour and $ 12 for insurance.
A linear system that represents the cost C dollars for h hours of riding
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Able”
t! C=llh+12
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Two soccer balls and three footballs cost $205
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The total revenue from the concert was $330 000
By setting up a system of linear equations determine how many tickets
of each price were sold?
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