Solving Systems of Linear Equations Quiz 1
Name: _____________________________________
SHOW ALL WORK! No work, no credit
1.) Solve the following systems of equations graphically.
The solution is ___________
y = 2x - 4 and y = 4x - 12
2.) Solve the following system of equations graphically.
The solution is ______________
y - x = 3 and y = 2x +1
Solve the following systems of linear equations using the Substitution Method (circle your final
answer):
3.)
4x - 7y = 2
x = -y - 5
4.)
2x - y = 6
x+y=6
Solve the following systems of linear equations using the Elimination Method (circle your final
answer):
5.)
4x - 3y = -10
2x + 3y = 4
6.)
2x + y = 7
3x - 4y = 5
Solving Systems of Linear Equations Quiz 3
Solve the following systems of linear equations (7&8) using a method of your choice (circle your
solution). For each, explain why you picked that method. Then classify the system depending on the
number of solutions
7.)
x = 6y + 3
x + 2y = 5
I chose the _____________________________________ method because________________________________________________
______________________________________________________________________________________________________________________
8.)
3x + 3y = 18
4x - 4y = 8
I chose the _____________________________________ method because________________________________________________
______________________________________________________________________________________________________________________
9.) You want to start a dog grooming business. The start up cost for your business is $600. It will cost
you $5.00 in supplies to groom each dog. You plan to charge $25.00 per dog. How many dogs will you
have to groom in order to break even?
10.) Adult tickets for a concert cost $8.00 each and childrens tickets cost $6.00 each. 80 people
attended the concert, and the stadium made $580. How many adults and how many children attended
the concert?