Solutions to linear equations
Solving Systems: Graphing
Solving Systems: Substitution
Solving Systems:
Elimination
Elimination
Quadratics
100
After solving a system of linear equations you end with 0 = 8, how many solutions did the system of linear equations have?
zero
100
9)
What is the solution to the system of linear equations?
(2,9)
100
11) When should you use the substitution method to solve a system of linear equations?
when you know the value of one of the variables but not both variables. Example:
x = 4 + y
3y + x = 6
100
16) What is the first step when using the elimination method?
Create a zero pair
100
Factorise x2 + 3x + 2
(x+1)(x+2)
200
How many solutions does a set of equations have if their graphs intersect once?
one
200
10)
What is the solution to the system of linear equations?
No solutions
200
12)
What is the solution to the system of linear equations?
5x+2=y
x=2
(2,12)
200
17)Solve the system of linear equations using the elimination method
4x+3y=12
2x-3y=24
(6,-4)
200
Factorise x2 - 7x + 10
(x - 5)(x - 2)
300
How many solutions can a system of linear equations have?
0, 1 or infinitely many
300
Find the solution to the following system
y= x - 2
y=-2x +1
(1,-1)
300
13) What is the solution to the system of linear equations?
y = 2x
x + y = 24
(8,16)
300
18)
Solve the System of Linear Equations using the Elimination Method:
4x+3y=12
2x-3y=24
(6, -4)
300
Factorise x2 - 64
(x - 8)(x + 8)
400
How many solutions does the following system of linear equations have?
x + 2y = 10
2x + 4y = 20
infinite
400
What is the solution to the following system of linear equations?
y = x - 7
y + x = 3
(5,-2)
400
14)
What is the solution to the system of linear equations?
5x+4y= 32
y=-9+3x
(4, 3)
400
19)
What is the solution to the system of linear equations?
6x+5y=4
-6x+7y=20
(-1,2)
400
Solve x2 - 121 = 0
x = - 11, 11
500
Determine how many solutions the following system has.
y=-x+3
y=-x+5
NO solutions
500
What is the solution to the following system of linear equations?
y=(1/2)x - 2
y=4x+5
(-2,-3)
500
15)
What is the solution to the system of linear equations?
2x – 3y = –2
y = –4x + 24
(5, 4)
500
20)
What is the solution to the system of linear equations?
2x+2y=-2
3x-2y=12
(2, -3)
500
Solve x2 - 4x = 32
x = -4, 8