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Solve using graphing.
Solve using graphing.
Solve using graphing.
Solve using graphing.
Solve using graphing.
Solve using graphing.
Of the four linear functions represented below, which has the greatest rate of change?
A. A number, y, is 1 more than three times a
number, x.
B. 3y - 10x = 15
C.
D.
Write and solve equations to find solutions to each of the following. Be sure to identify what the
variables represent. Check your solution.
In the locker room there were 59 soccer balls. They filled four bags and there were three left
over. How many balls were in each bag?
Sally and Billy had an Easter egg hunt. Sally collected three times as many eggs as Billy. They
collected 20 total eggs. How many eggs did each child collect?
Christy mows the lawn and washes cars for her summer job. This week she made $50 washing 5
cars and mowing 3 lawns. Last week she made $62 washing 3 cars and mowing 5 lawns. How much
does Christy charge to mow a lawn? How much does she charge to wash a car?
Of the four linear functions represented below, which has the greatest rate of change?
A. A number, y, is 1 more than three times a
number, x.
B. 3y - 10x = 15
C.
D.
Write and solve equations to find solutions to each of the following. Be sure to identify what the
variables represent. Check your solution.
In the locker room there were 59 soccer balls. They filled four bags and there were three left
over. How many balls were in each bag?
Sally and Billy had an Easter egg hunt. Sally collected three times as many eggs as Billy. They
collected 20 total eggs. How many eggs did each child collect?
Christy mows the lawn and washes cars for her summer job. This week she made $50 washing 5
cars and mowing 3 lawns. Last week she made $62 washing 3 cars and mowing 5 lawns. How much
does Christy charge to mow a lawn? How much does she charge to wash a car?
Alice is in a new house with a long driveway. She knows that she
will need to hire someone to plow the snow from time to time
during the winter. She has bids from two services.
Write an equation that shows the total cost, c, for n number of
plows for each of the services.
Help Alice decide which service she should choose. Explain or show
how you arrived at a solution.
Mark needs to decide if he should buy ski equipment. If he buys
the equipment it will cost him $300 and then he will pay $30 each
time he goes skiing. If he needs to rent the equipment he will
have to pay $80 each time he goes skiing. For what number of
times skiing will the cost for each option be the same? Show your
work.
Alice is in a new house with a long driveway. She knows that she
will need to hire someone to plow the snow from time to time
during the winter. She has bids from two services.
Write an equation that shows the total cost, c, for n number of
plows for each of the services.
Help Alice decide which service she should choose. Explain or show
how you arrived at a solution.
Mark needs to decide if he should buy ski equipment. If he buys
the equipment it will cost him $300 and then he will pay $30 each
time he goes skiing. If he needs to rent the equipment he will
have to pay $80 each time he goes skiing. For what number of
times skiing will the cost for each option be the same? Show your
work.
Below are three systems of equations. You must solve one system
using graphing, one using substitution and one using elimination. Be
sure to explain why you chose the method for the given system of
equations.
A.
Graphing
System:
Reason for using graphing method:
Substitution
System:
Reason for using substitution method:
Elimination
System:
Reason for using elimination method:
B.
C.
Below are three systems of equations. You must solve one system
using graphing, one using substitution and one using elimination. Be
sure to explain why you chose the method for the given system of
equations.
-5x + 2y = -10
A.
5x + 6y = 90
Graphing
System:
Reason for using graphing method:
Substitution
System:
Reason for using substitution method:
Elimination
System:
Reason for using elimination method:
B.
3x + 4y = -7
C.
y = 2x - 4
y = -3x + 1
More Elimination Method Examples
2x + y = 9