Solve by Graphing
Solve by Substitution
Solve by Elimination
Number of Solutions
Word Problems
100
What is the solution?
(-1,1)
100
Solve the systems of equations using substitution:
y=3x-10
x=2
(2,-4)
100
Solve the systems of equations using Elimination:
-x - 5y = 4
x + 7y = -8
(6, -2)
100
How many solutions would a system of linear equations have if the equations are parallel and different y-intercepts?
Zero Solutions
100
Write a system of equations for the following word problem. Do not solve it.
The difference of two numbers is 3. Their sum is 13.
x-y=3
x+y=13
200
How many solutions are there?
No Solutions
200
Solve the systems of equations using substitution:
y=2x-10
y=4x+8
(-9,-28)
200
Solve the systems of equations using Elimination:
2x - 3y = 9
-2x + y = -2
(-1, -4)
200
How many solutions would a system of linear equations have if the equations are parallel and have the same y-intercept?
Infinite Solutions
200
Write the system for the following word problem. Do not solve.
Kristin spent $131 on shirts. Fancy shirts cost $28 and plain shirts cost $15. If she bought a total of 7 then how many of each kind did she buy?
28x+15y=131
x+y=7
300
Solve Using Graphing:
y = 5/3x + 2
y=-3
300
Solve the systems of equations using substitution:
y = -2x - 9
3x -6y = 9
(-3, -3)
300
Solve the systems of equations using Elimination:
-6x - 10y = 4
6x + 10y = 0
No Solution
300
Is there 1 solution, No solution, or Infinite solutions for the following question?
3x - y = 19
-3x + y = 10
No Solutions
300
Write a system of equations for the word problem, then solve it to find the two numbers.
The sum of two numbers is 15. One number is 4 times the other. Find the two numbers.
x+y=15
x=4y
The numbers are 3 and 12.
400
Solve this by graphing:
y=2x-4
y = -1/3 x + 3
(3,2)
400
Solve the systems of equations using substitution:
2x - y = 6
x = y + 5
(1, -4)
400
Solve the systems of equations using Elimination:
3x + 24y = 66
3x + 4y = -14
(-10, 4)
400
How many solutions does the system have?
3y + 4x = 6
12y + 16x = 24
These are the same exact line, therefore they have
Infinite Solutions
400
On the first day of ticket sales the 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.
senior citizen ticket: $8, child ticket: $14
3S+1C=38
3S+2C=52
500
Solve the systems of linear equations by graphing:
500
Solve the systems of equations using substitution:
y = 8x -7
16x - 2y = 14
Infinitely Many Solutions
500
Solve the systems of equations using Elimination:
-15x + 6y = -36
-4x + 3y = -11
(2, -1)
500
How many solutions does the system have?
-6y + 2 = -4x
y - 2 = x
Different slopes
One solution
y=2/3x+1/3
y=x+2
500
Matt and Ming are selling fruit for a school fundraiser. Customers can buy small boxes of oranges and large boxes of oranges. Matt sold 3 small boxes of oranges and 14 large boxes of oranges for a total of $203. Ming sold 11 small boxes of oranges and 11 large boxes of oranges for a total of $220. Find the cost each of one small box of oranges and one large box of oranges.
Small Boxes:$7 Large Boxes:$13
3S + 14L = 203
11S + 11L = 220