Systems with Graphs
Solving by Substitution
Solving by Elimination
Mixed
Random
100
What is the solution?
(-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
What strategy would you use?
14x + 2y = 26
-14x - 6y = -50
elimination
100
Is the given point a solution to the system of equations?
Point: (2,6)
x + y = 8
3x - y = 0
Yes
200
How many solutions are there?
No Solutions
200
Solve the systems of equations:
-5x - 5y = 10
y = -4x -17
(-5, 3)
200
Solve the systems of equations:
(4, -1)
200
What is the solution?
-5x - 5y = 10
y = -4x -17
(-5,3)
200
What is this form called?
y = mx + b
Slope-intercept form
300
Solve Using Graphing:
y = 5/3x + 2
y = -3
300
Solve the systems of equations:
y = -2x - 9
3x -6y = 9
(-3, -3)
300
Solve the systems of equations:
-15x + 6y = -36
8x - 6y = 22
(2, -1)
300
Is there 1 solution, No solution, or Infinite solutions for the following question?
3x - y = 19
-3x + y = 10
No Solutions
300
The senior classes at High School A and High School B planned separate trips to New York City. The senior class at High School A rented and filled 1 van and 6 buses with 372 students. High School B rented and filled 4 vans and 12 buses with 780 students. Each van and each bus carried the same number of students.
Write a system of equations to represent the scenario if x=the number of students on each van and y= the number of students on each bus.
1x + 6y = 372
4x + 12y = 780
400
How many solutions are there?
Infinitely Many Solutions
400
Solve the systems of equations:
-8x - 5y = -24
y = 10 + x
(-2, 8)
400
Solve the systems of equations:
-3x - 24y = -66
3x + 4y = -14
(-10, 4)
400
What is the solution to the system below?
(7, -1)
400
Which method would be the most efficient one to use to solve the following system of equations and explain why.
5x - 6y = 120
10x + 4y = 200
Elimination because both of the equations are in standard form.
500
Solve the system of equations by graphing:
y = 3x - 4
y = -1/2 x + 3
(2,2)
500
Solve the systems of equations:
y =8x -7
16x - 2y = 14
Infinitely Many Solutions
500
Solve the systems of equations:
(2, -1)
500
What is the solution to the system of equations?
(-5, 8)
500
Linda has $20 in her bank account and is saving $15 each week. Marsha has no money in her bank account and is saving $20 per week. Write a system of equations and solve it to determine after how many weeks they will have the same amount of money. How much money will they have?
After 4 weeks, they will each have $80.