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
Chorus is selling tickets for their spring performance. On the first day of ticket sales the school sold 3 student tickets and adult ticket for a total of $38. The school took in $52 on the second day by selling 3 adult tickets and 2 student tickets. Find the price of an adult ticket and the price of a studentticket.
adult ticket: $8, student ticket: $14
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
Ms. Tagaban tells you that the next test is worth 100 points and contains 38 problems. Multiple-choice questions are worth 3 points and word problems are worth 4 points. How many of each type of questions are in there?
(30,8)
8 word problems
30 Multiple Choice
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
Adult tickets for the school musical sold for $3.50 and student tickets sold for $2.50. On a given night, 321 tickets were sold for $937.50. How many of each kind of ticket were sold?
(135, 186)
adults-135
Children- 186
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
Mr. Ikeda goes to the grocery store and purchases 17 small bags of rice and a small bottle of shoyu. His total cost was $34.76. What was the cost for a bag of rice?
r - cost of a bag of rice 17r + 2.97 = 34.76 r = 1.87
Each bag of rice cost $1.87
500
Solve the systems of linear equations by graphing:
500
Solve the systems of equations using substitution:
-8x + y = -7
16x - 2y = 14
Infinitely Many Solutions
500
Solve the systems of equations using Elimination:
-15x + 6y = -36
-8x + 6y = -22
(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
Ms. Yoshimi bought 7 Taylor Swift t-shirts for a total of $90.93. Each t-shirt cost the same amount. How many Hannah Montana t-shirts did Ms. Yoshimi buy?
n - # of t-shirts 7n = 90.93 n = 12.99
Each t-shirt cost $12.99