8.1 guided notes & problem set
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Name: ________________________________
8.1 Solving System of Equations by Graphing
Introduction: brought to you by study.com ***Video will story early **** Directions: Fill in the blanks below. COMPARING AND CONTRASTING Anytime you have more than one equation in a single problem, it is called a
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Running Example:
Luke’s Linear Equation
y = _______ x + __________
Luke girl friend’s linear equation
y = _______ x + __________
When will Luke’s girlfriend catch up to him if he gets a 2-‐mile head start?
We will finish this problem in class together.
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Sometimes, weird things (i.e. Special Cases) can happen:
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Solve and classify the systems of equations below. 5. 6.
7. 8.
y = xx = −7
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13. Solve the linear system by graphing.
Solve each system of equation below by using a graphing calculator. (Be sure to solve for y first) 14.
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21. Is (3,8) a solution of the system?
22. Is (-‐1, 7) a solution for the system of linear equations?
x + 2y = 133x − y = −11
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SKILLZ Review
7.
1. Solve the system of equations by using your graphing calculator.
• Write a systems of equations
• Label the x and y axis based on the context of the problem. Then sketch the window on your calculator screen (First Quadrant only)
• Solve
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3. Compare two cab companies by writing an equation and graphing the charge of a fair based on the number of miles you have to go.
The Yellow Cab Company charges just $0.25 a mile, but it costs $5 to get in the cab.
Equation (A): ________________________________
Express Cab charges no fee to get in the cab, but $1.50 a mile for the ride.
Equation (B): ________________________________
A. If you are going 7 miles, which cab company should you call?
B. If you are going 3 miles, which company should you call?
C. For what length of drive is the cost equal?
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3. Use the gym flyer below to answer the following questions.
a) Write equations for each option Equation for (A): ____________________
Equation for (B): ____________________
Equation for (C): ____________________
b) Use your graphing calculator to determine the time ranges each type of membership is best. (Window Range: -10<x<15 & -10<y< 210)