When solving for an x or y intercept, what key number do you plug in?
zero
you plug in the x and y and see if the solution is true.
What does the word eliminate mean?
get rid of, cancel, cross out, etc.
How would you solve this set of systems by substitution?
x=5
y=-x+12
plug the 5 into x in the second equation and y=7
(5,7)
Why are imaginary numbers called imaginary?
They cannot be seen or graphed on a regular coordinate plane.
A x-intercept is where the graph does what?
crosses the x axis
Is (1,1) a solution to the following systems of equations:
y=2x-1
5x-4y=1
yes
Solve the set of systems by elimination:
x-5y=-29
9x+5y=-11
(-4,5)
Solve the set of systems by substitution:
x=-2
x+3y=4
(-2,2)
Is the square root of 32 rational or irrational?
Irrational! It is not a perfect square!
A y-intercept is where the graph does what?
crosses the y-axis
Is (3,8) a solution to the following systems of equations:
y=-5x+1
y=3x-2
no
Solve the set of systems by elimination:
4x-2y=-8
4x-9y=20
(-4,-4)
Solve the set of systems by substitution:
y=-3x
4x-2y=-20
(-2,6)
Write the slope intercept form of the equation.
slope=-5
y-intercept=5
y=-5x+5
solve for both the x and y intercepts of this equation:
x+5y=5
x=5
y=1
Is (0,1) a solution to the following systems of equations:
-5y=-5
6x+7y=7
yes
Solve the set of systems by elimination:
8x+10y=16
-4x+y=16
(-3,4)
Solve the set of systems by substitution:
y=-3x+4
y=4x-10
Are the points (3, 4), (5, 6), and (7, 8) collinear?
Yes! They are on the line y = x + 1.
solve for both the x an y intercepts of this equation: 3x-5y=15
x=5
y=-3
Is (10,10) a solution to the following systems of equations:
y=-8x-3
x+y=7
no
Solve the set of systems by elimination:
-3x-3y=3
-5x+2y=19
(-3,2)
Solve the set of systems by substitution:
x=3y+6
2x-4y=12
(6,0)
Find the radius of a circle with the end points (3, 6) and (-1, 4).
Square Root of 5 (about 2.24)