Parallel, Perpendicular, or Neither
Solving Systems by Graphing
Solving Systems by Substitution
Solving Systems by Elimination
Word Problems & Other
100
Identify the slope parallel to the line passing through:
(-1,0) and (3,-5)
-5/4
100
Determine the Number of Solutions.
No Solution
100
y=-4x+21
y=2x-3
One Solution
(4,5)
100
4x+y=-1
2x-y=-5
One Solution
(-1,3)
100
Slope Intercept Form or Standard Form
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.
Standard Form
200
Write an equations that is parallel to
y=4x-12
Any equation with same slope and different y-intercept
200
Determine the number of solutions.
One Solution
200
y=5x-3
y-5x=-3
Infinite Solutions
200
x+y=12
2x+5y=27
One Solution
(11,1)
200
Slope Intercept Form or Standard Form
Some students want to order shirts with their school logo. One company charges $9.65 per shirt plus a setup fee of $43. Another company charges $8.40 per shirt plus a $58 fee.
Slope Intercept Form
300
Identify the slope perpendicular to the line passing through:
(2,1) and (4,5)
-1/2
300
Is the point below a solution to the system of inequalities?
(4,-2)
Yes. The point is in the double shaded region.
300
x=y-3
2x-y=-12
One Solution
(-9,-6)
300
4x-2y=2
2x-y=1
Infinite Solutions
300
Write the Equations (Do Not Solve)
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. Michelle sold 11 small boxes of oranges and 11 large boxes of oranges for a total of $220.
3x+14y=203
11x+11y=220
400
Determine whether the graphs of the equations are parallel, perpendicular, or neither.
y=-4x+1
4y=x+3
Perpendicular
4y=x+3 -> y=1/4x+3/4
400
Is the point below a solution to the system of inequalities?
(-4,4)
No. The point provided is only a solution to one inequality.
400
6x+3y=-3
y=-2x+3
No Solution
400
2x-3y=-8
x+4y=7
One Solution
(-1,2)
400
Is the point is a solution to the system?
(1,-3)
y=-5x+2
y=3x
No. The point is only a solution to y=-5x+2 but not y=3x.
500
Determine whether the graphs of the equations below are parallel, perpendicular, or neither.
y=-1/3x+2
3x+y=-5
Neither
3x+y=-5 ->y=-3x-5
500
Determine the Number of Solutions for the system of Linear Inequalities.
No Solution. The shaded regions do not overlap.
500
2x+y=-20
y-x=-5
One Solution
(-5,-10)
500
2x+3y=4
3x+4y=8
One Solution
(8,-4)
500
Is the point a solution to the system?
(-3,1)
y<-7/3x + 2
y>=2x-5
Yes. The point gives a true statement for both inequalities.