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
Two numbers have a sum of 100 and a difference of 74. What are the numbers?
87 and 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
Two numbers have a sum of 75 and a difference of 20. What is the larger of the 2 numbers?
47.5
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
5 hamburgers and 4 hotdogs cost $19.50. 4 burgers and 5 dogs cost $18.75. How much is 1 burger? 1 dog?
A burger is $2.50
a dog is $1.75
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
A shipment of car parts, some weighing 25 pounds and the others weighing 40 pounds each, has a total weight of 680 pounds. It there are 20 parts in the shipment, how many weigh 40 pounds?
12 parts weigh 40 pounds
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
The price of a sweater is $5 less than twice the price of a shirt. If four shirts and three sweaters cost $275, find the cost of each item.
$29 for a shirt
$53 for a sweater