Systems with Graphs
Solving by Substitution
Solving by Elimination
Mixed
Random
100
What is the solution?
y=-5x-4
y=2x+3
(-1,1)
100
Solve the systems of equations:
-3x + 4y = -2
y = -5
(-6, -5)
100
Solve the systems of equations:
14x + 2y = 26
-14x - 6y = -50
(1, 6)
100
Solve the systems of equations using which ever method you prefer
14x + 2y = 26
-14x - 6y = -50
(1,6)
100
2*3+22
10
200
How many solutions are there?
y=x+1
y=x+2
No Solutions
200
Solve the systems of equations:
-5x - 5y = 10
y = -4x -17
(-5, 3)
200
Solve the systems of equations:
-3x - 5y = 2
3x + 5y = 7
No Solution
200
Ms Rodriguez bought 2 new shirts and 2 dresses for $65. She then went back and bought a shirt and 4 dresses for $85.
Write a system of equations to model the situation, using x for shirts and y for dresses.
Double points for solving the system of equations using any method!
2x + 2y = 65
1x + 4y = 85
(15, 17.5)
200
What is the room number for our classroom?
436
300
Solve Using Graphing:
y = 5/3x + 2
y = -3
(-3,-3)
300
Solve the systems of equations:
y = -2x - 9
3x -6y = 9
(-3, -3)
300
Solve the systems of equations:
-6x - 10y = 4
6x + 10y = 0
No Solution
300
Zeke sells blueberries and grapes. Each pound of blueberries sells for $2.50 and each pound of grapes sells for $1.25. Zeke made $55 from selling a total of 33 pounds of blueberries and grapes.
Write a system of equations using b for pounds of blueberries and g for grapes.
Double points if you solve the system!
2.50b + 1.25g = 55
b + g = 33
b=11
g=22
300
Is the given point a solution to the system of equations?
Point: (-1,-3)
5x + y = 8
3x - y = 0
No
400
How many solutions are there?
y=6/3x-3
y=1/2x-3
Infinitely Many Solutions
400
Solve the systems of equations:
-8x - 5y = -24
-x + y = 10
(-2, 8)
400
Solve the systems of equations:
-3x - 24y = -66
3x + 4y = -14
(-10, 4)
400
How many solutions do parallel lines have?
No Solutions
400
One day, a store sold 20 t-shirts and 15 hats for a total of $300. The next day, they sold 10 t-shirts and 20 hats for a total of $250. Write a system of equations to model the store's sales. Use x to represent the price of a t-shirt and y to represent the price of a hat.
Double points if you can solve the system!!
20x + 15y = 300
10x + 20y = 250
(9, 8)
500
Solve the systems of linear equations by graphing:
(-4,-3)
500
Solve the systems of equations:
-8x + y = -7
16x - 2y = 14
Infinitely Many Solutions
500
Solve the systems of equations:
-15x + 6y = -36
4x - 3y = 11
(2, -1)
500
How many solutions does the system have?
3y + 4x = 6
12y + 16x = 24
These are the same exact line, therefore they have
Infinite Solutions
500
A bakery sells cupcakes for $2.50 each and cookies for $4 each. One day, they earned a total of $230. On that same day, they sold a total of 68 cupcakes and cookies. Write a system of equations to model the bakery's sales. Use x to represent the number of cupcakes and y to represent the number of cookies sold.
Double points if you can solve the system!!
2.50x + 4y = 230
x + y = 68
(28, 40)