Solve by Graphing
Solve by Substitution
Solution Types
Systems Trivia
Systems WP
100
Solve Using Graphing:
y = 5/3x + 2
y = -3
100
Solve the systems of equations using substitution:
y=2x-10
y=4x+8
(-9,-28)
100
11x= 0 means x is equal to what value?
0
100
What is the slope of this equation?
y = -1/2 x +7
-1/2
100
The perimeter of a rectangle is 96 ft. The length is twice the width. What are its dimensions?
16 ft. x 32 ft.
200
Solve this by graphing:
y = 2x - 4
y = -1/3 x + 3
(3,2)
200
y =-3/7x+2
y =1/3x+2
(0,2)
200
11=0 means the solution of the system ____.
does not exist
200
In the form y = mx + b
What do m and b represent?
m = slope
b = y-intercept
200
Popcorn is $2 and water is $1. The total bill comes to $18. There were 3 more waters purchased than bags of popcorn. How many bottles of water were sold?
W= 8 bottles
300
y=1/4x-3
y=-3/2x-4
(-4,2)
300
Solve the systems of equations using substitution:
y =8x -7
y = 8x -7
Infinitely Many Solutions as lines coincide
300
Can (0, 0) be the solution of a system? Explain.
Yes, if two lines intersect at the origin, then that is the solution of the system.
300
What is the y-intercept of this equation?
-24=9x+6y
(0,-4)
300
A plane travels with the wind and is able to fly at 250 mph. On the return trip, the same plane took the same route but was against the wind and averaged 200 mph. What is the speed of the plane?
p= 225 mph
400
-4+1/3x=y
y=1/3x-4
Infinite number of solutions as lines coincide
400
2x - 5y = 8
-6x + 2y = 2
(-1,-2)
400
A system can ONLY have infinite solutions if and only if the second equation is a variation of the first. (T/F)
Provide an example or counterexample.
True. x + y = 5, 2x + 2y = 10
400
What is true about a system of equations with no solution?
The lines are parallel; the lines have the same slope.
400
The area of a square is 144 cm squared. Since it is a square, it is noted that L = W. What is one side length?
12 cm.
500
Solve the systems of linear equations by graphing:
-8=-2y+2x
0=2+5x+y
(-1,3)
500
Solve the systems of equations using substitution:
8x+5y=3
-7x-6y=-1
(1,-1)
500
x + y = 5
x= - 2
(-2, 7)
500
What does it mean if a system of equations has infinite solutions?
They are the same line -- Lines coincide
500
The lunch was $5 for adults and $3 for kids; there were a total of 7 people on the last bill. Since the bill totaled $29, how many kids were in this group?
k= 3 kids