CP Algebra II 9/24/15
Solving Systems Practice
Name: ________________
Use the method of your choice to solve each system.
1.
ì5x - 3 y = 23
í
î2x + y = 7
2.
ì6x - 4 y = -8
í
î4x + 2 y = -10
3.
ì6x - 8 y = 16
í
î3x - 4 y = 8
4.
ì2x +5 y = 11
í
î4x + 3 y = 1
5.
ìx + 2 y = 4
ï
í
1
ï y = - x +2
2
î
6.
ì2x + 4 y = 16
ï
í
3
ï y + 3 = (x + 8)
5
î
7.
ì2x + 4 y = -6
í
î x = 3- 2 y
9.
ì y = 2x - 6
Solve í
using all three methods (graphing, substitution, and elimination).
x
+
2
y
=
-2
î
8.
ì5x - y = 7
í
î7x - y = 11
Create a system of equations to solve each problem.
10.
The sum of two numbers is 12. The difference of the same two numbers is -4. Find the numbers.
11.
Twice a number minus a second is -1. Twice the second number added to three times the first number
is 9. Find the two numbers.
12.
Last year the volleyball team paid $5 per pair of socks and $17 per pair for shorts for a total team
purchase of $315. This year they spent $342 to buy the same number of pairs of socks and shorts
because the socks now cost $6 a pair and the shorts cost $18. How many pairs of socks and shorts did
the team buy each year.