Literal Equations
Standard Form
Parallel and Perpendicular Lines
Solving systems
Absolute Value and Piecewise functions
100
Solve for h
A= h-b
h=A-b
100
What is the equation for standard form?
Ax+By=C
100
What is the slope of 2 parallel lines?
What about 2 perpendicular lines?
The same!
Opposite reciprocal!
100
Solve the system of equations
y=2x-4
3x-2y=1
(7,10)
100
What is y=3 |-x| as a piecewise function?
y = -3x, when x < 0
y = 3x, when x > 0
200
Solve for B
BA+y=W
B= (W-y)/A
200
If A=0 in the equation Ax+By=0,
what will the graph look like?
horizontal line
200
What is the formula for point slope form?
y-y1 = m(x-x1)
200
Solve the system of equations
y=2x-7
9x+y=15
(2,-3)
200
What is y= -1/2 |-x| as a piecewise function?
y = 1/2x, when x < 0
y = -1/2x, when x > 0
300
Solve for x
x=2(B-W)
300
What is y=2x + 3/7 in standard form?
14x -7y = 3
300
What is the equation for a line that is parallel to y=3x-3 and goes through the point (3,3)?
y=3x-6
300
Solve the system of equations
x=3y-4
2x-3y=-2
(2,2)
300
Using words, describe what a piecewise function is
A function where there are different rules (equations) for different parts of the functions domain
400
2H-y= A+N
H=2
y=?
A=3
N=-1
y=2
400
What are the X and Y intercepts of 3x-5y = 15
x= 5
y=-3
400
What is the equation for a line that is perpendicular to y=-2/5x +3 and goes through the point (-6,-3)?
y=5/2x +12
400
Solve the system of equations
x-2y=1
2x+3y=-12
(-3,-2)
400
Draw the Piecewise function to the best of your ability
500
Water boils at different temperatures at different elevations. The boiling temp of water is 212 degrees at sea level (0ft) but drops 1.72 degrees for every 1,000 feet of elevation. Write a formula for the boiling point at a given elevation.
B= 212 - (1.72h/1,000)
where h = elevation in feet
500
Write the equation in standard form.
y-1= 2/3(x+6)
2x-3y=-15
500
Are the lines parallel, perpendicular, or neither?
-2x+5y= -4
y=-5/2x + 6
Perpendicular
500
Solve the system of equations
4x-3y=17
2x-5y=5
(5,1)
500
What information does the vertex tell you in absolute value functions?
The shift in "rules" and the minimum or maximum of the range