Unit 5 Review Sheet
Name:
Date:
How many solutions do the following systems of equations have?
1.
2x – y = 3
-2x + y = -3
2.
2x – 3y = 11
-2x + 3y = -2
3.
-2x + 5y = 19
3x – y = 4
#4 – 6 What does the graph look like for each system of equations?
4. A system with a solution of one ordered pair.
5. A system with no solution.
6. A system with an infinite number of solutions.
7. What is true about the slopes and y-intercepts of parallel lines?
8. What is true about the slopes and y-intercepts of a system of equations that have an infinite
number of solutions?
9. When solving question #1 and #2 by eliminations, what did the solution have in common?
10. If the elimination method was chosen to solve the system of equations below, what is the
correct first step to use?
10x – 7y = 2
-5x + 3y = -3
A. Add the two equations together
B. Subtract the two equations
C. Multiply the second equation by 2
D. Divide the first equation by 2
Solve the following systems of equations using any method.
11. y = 2x – 3
y= x-1
12.
x=y–4
-2x – y = 2
13.
4x – 2y = 7
3x + 6y = 9
14.
y = -2x - 5
y = 4x - 5
15.
3x + y = 11
3x + y = 13
16. True or False: In a certain word problem, x represents the cost of 1 rose and y represents
the cost of a daisy. The ordered pair (4, 3) is the solution to this problem. That means that 4
roses were bought and 3 daisies were bought.
17. A collection of quarters and nickels is worth $1.25. There are 13 coins in all. How many of
each coin are there?
Write the system:
Solve the system:
How many quarters are there?
18. At the local convenience store William and Devon are getting snacks for their friends.
William buys 3 soft drinks and 2 hot dogs at a cost of $7.70, while Devon buys 2 soft drinks and
1 hot dog at a cost of $4.55.
Write the system:
Solve the system:
How much would it cost to buy 1 soft drink and 1 hot dog?
19. Mrs. Gutsche is making a flower arrangement. She wants to use 6 more carnations than
tulips. She uses 30 flowers altogether. How many tulips should she use?