Name _____________________________________________
Systems of Equations Packet (Due 2/1)
Solving Systems by Graphing
Go to http://www.yaymath.org/#!algebra-solving-systems-of-equations-gra/c23zi and watch the video.
As you watch the video, answer the questions and solve the problems below. You may pause and
rewind as needed.
1.) How does the teacher know that (0,4) is a solution to 2x + 3y = 12?
2.) How many solutions exist for 2x + 3y = 12?
3.) Solve 2x – y = 4 for y. Show all work.
4.) When you look for the solution to a system of equations on a graph, what point are you looking for?
5.) Do the students in this class love fractions?
6.) If you graph two lines and they are on top of each other, how many solutions does the system have?
7.) If a system has an infinite number of solutions, does this mean that ALL points will work as solutions?
8.) Solve this system in the space below. Show all work.
x+1=y
2x – 2y = 8
Name _____________________________________________
Systems of Equations Packet (Due 2/1)
Solving Systems by Elimination
Go to http://www.yaymath.org/#!algebra-solving-systems-of-equations-eli/cu7h and watch the video.
As you watch the video, answer the questions and solve the problems below. You may pause and
rewind as needed.
1.) Solve this system. Show all work.
x+y=3
x–y=1
2.) Is this the teacher’s favorite method?
3.) Once you have a value for x, can you plug it into either equation?
4.) Pause the video and try to solve this system on your own. When you finish, watch the video and
make any corrections in a different color. If you have no corrections, give yourself a ‘100%’ in a different
color. NOTE: You will not have any points taken off if you make mistakes!
3x – 2y = 13
x + 2y = 7
5.) If you add this system, will anything be eliminated?
2x – 5y = -6
2x – 7y = -14
6.) What do you have to do before you add them?
7.) Write down one question that you hear a student ask during this lesson?
Name _____________________________________________
Systems of Equations Packet (Due 2/1)
8.) Is this a question you would have asked?
9.) Fill in the blanks:
(no sense)
_____ = _____
“no ___________________________”
-------------------------------------------------------------4=4
or 0 = ______
“_______________________ solutions”
10.) Solve the following system. Show all work.
x+y=3
2x – 3y = 16
BONUS POINT ~ Why does the teacher choose to multiply the first equation by 3 instead of -2?
Solving Systems of Equations (Summary – With emphasis on substitution.)
Go to http://www.yaymath.org/#!algebra-2-systems-of-equations/c1noi and watch the video. As you
watch the video, answer the questions and solve the problems below. You may pause and rewind as
needed.
1.) According to the teacher, what is the first step in using the substitution method?
2.) The next step is to “isolate the ________________________________”
3.) When you multiply by a negative one, what do you do to the signs?
Name _____________________________________________
Systems of Equations Packet (Due 2/1)
4.) Solve this equation. Show all steps.
2x + 3(2x – 4) = 12
5.) The solution to this system is (3,2). Show how he checks the solution in each equation.
2x + 3y = 12
and
2x – y = 4
6.) Solve this system using the substitution method. Show all work.
x + 2y = 8
½ x – y = 18
7.) Now solve the same system using the elimination method. Show all work.
x + 2y = 8
½ x – y = 18
8.) Which method to you prefer? Why?
Name _____________________________________________
Systems of Equations Packet (Due 2/1)
9.) Pause the video and try to solve this system using any method you choose. You will not be marked
down if you get it wrong. You just need to show how you would solve it.
6x + 3y = 12
2x = 8 – y
10.) Now watch the teacher solve it. Did you get the right answer?
11.) If not, copy the correct solution in the space below.
12.) Why does the guy who drink the drink slowly die but the guy who drinks it quickly does not?
-----------------------------------------------------------------------------------------------------------------------------------------Now that you have watched the videos explaining the different methods for solving systems of
equations, complete the assignment below. You must show all work.
For #1 – 3 solve the system by graphing.
1.) y = 3x – 1
y = 4x – 2
2.) y = ½ x + 4
y = 2x + 1
3.) y = -2x + 4
y + 1 = 3x
Name _____________________________________________
Systems of Equations Packet (Due 2/1)
For #4 – 6 solve the system using the elimination method. Show all work.
4.) 3x + 2y = 14
5.) x + y = 6
3x – 2y = 10
x – y = -2
6.) 4x + 5y = 3
2x – 3y = 7
For # 7 – 9 solve the system using the substitution method. Show all work.
7.) x + y = 6
y = 2x
9.) 5x – 4y = 9
x – 2y = -3
8.) 2x – 3y = - 13
y = 2x + 7
10.) The sum of two number is 9. Their different is 3. What are the two numbers? Show how you found
them.
Name _____________________________________________
Systems of Equations Packet (Due 2/1)