Equations
Review of Lines
Solve By Graphing
Solve by Substitution
Solve by Elimination
100
When solving systems of equations algebraically which statement results in Infinitely many solutions?
a. x=0
b. 5=3
c. 2=2
d. -6 =6
c. 2=2
100
What expression should be used to solve by substitution?
3x - 4y = 2
x = 2x + 3
2x + 3
100
What is the solution?
(-1,1)
100
Solve the systems of equations using substitution:
-x + 4 = y
2y = -2x + 8
Infinitely many
100
What is the slope and y- intercept of the first equation?
14x + 2y = 26
-14x - 6y = -50
slope: -7.
y-intercept: 13
200
When solving systems of equations algebraically which statement results in Infinitely many solutions?
a. 0=0
b. x=0
c. -5=0
d. 5=0
a. 0=0
200
What is the slope?
2/5
200
How many solutions are there?
No Solutions
200
Solve the systems of equations using substitution:
-5x - 5y = 10
y = -3x
(1, -3)
200
What is the slope and y-intercept of each?
a. -3x - 24y = -66
b. 3x + 4y = -14
Slope.
a. -1/8
b. -3/4
300
When solving systems of equations algebraically which statement results in one solution? Choose all that applies.
a. x=12
b. x=0
c. -5=x
d. 2=0
e. 6=6
a. x=12
b. x=0
c. -5=x
300
What expression should be used to solve by substitution?
6x +2y = 8
y = -4x -6
-4x-6
300
How many solutions does each graph have and how do you know?
One Solution; The lines cross at only one point.
300
Solve the systems of equations using substitution:
8y = 4x
3x -6y = 9
no solution
300
What is the value of y in this system?
15x - 6y = 36
8x - 6y = 22
-1
Point is (2,-1)
400
When solving systems of equations algebraically which statement results in no solutions?
a. 0=0
b. 3=0
c. 7=x
d. 4=-4
e. x=0
b. 3=0
d. 4=-4
400
What is the solution to this system of equations?
y=-3x+6
y=x + 2
(1,3)
400
Look at the graph on the board. There are two equations graphed. How many solutions do the two equations have?
Infinitely many.
400
Solve the systems of equations using substitution:
-8x - 5y = -24
y = 10 + x
(-2, 8)
400
Solve the systems of equations using Elimination:
3x + 2y = 4
x + y = 8
(-4, 12)
500
How many solutions?
4x - 3y =12
-4x + 3y =-12
Infinitely many
500
y = 2x + 6
y = 2x - 1
No Solution.The lines are parallel.
500
How many solutions are there? y=2x-3 and -2x+y=-3
Infinitely Many Solutions
500
Solve the systems of equations using substitution:
-8x + y = -7
16x - 2y = 14
Infinitely Many Solutions
500
Two Gym Membership plans were compared.
A. At which month are both plans the same?
B. How much would the Beginners Plan have paid at 8 months? and How much would the Veterans Plan have paid?
A. 4 months
B. $140 Beginners Plan and Veteran about $160