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Transcript
Name: _________________________ Period: ______ Date: _______
Solving Systems of Equations
Solve using Graphing. Write the solution in the box as an ordered pair.
2. y = 3x + 4
3
x6
1. y =
x + y = -4
5
1
x4
y=
5
Solve using substitution. Write the solution in the box as an ordered pair.
3. -3x + 3y = 4
4. x = y + 4
y=x+3
2x +y = 5
Solve using elimination. Write the solution in the box as an ordered pair.
5. 7x + 2y = 24
6. -2x + 3y = 15
-8x – 2y = -30
-6x + 6y = 18
Solve using the method of your choice. Write the solution in the box as an ordered pair.
7. 4x + 2y = 10
8. 6x – 2y = 10
x – y = 13
y = 3x – 5
_______9. What is the y-coordinate of the
solution to the system displayed in the table?
_______10. What is the x-coordinate of the
solution to the system displayed in the table?
A
B
C
D
A
B
C
D
2
5
3
4
x
0
1
2
3
y
0
1
2
3
x
1
2
3
4
y
5
4
3
2
11. Set up the following system of equations.
(DO NOT SOLVE.)
On the first day of ticket sales a 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. Find the
price of a senior citizen ticket and the price of a
child ticket.
-6
-4
-2
0
x
-6
-4
-2
0
x
-8
-6
-4
-2
y
10
6
2
-2
12. Set up the following system of equations.
(DO NOT SOLVE.)
Leo and Evan complete 45 Algebra problems
together. Evan slacked off and completed 2 less
than half of what Leo completed. Set up the
systems of equations used to solve how much each
one completed.
13. Which of the following ordered pairs is a solution to the system?
y = 4x – 1
2x + y = 5
a) (0, -1)
b) (2, 7)
c) (1, 3)
y
-2
2
6
10