Linear Equations
Slope
Naming Functions
Intercepts
Miscellaneous
100
What is the equation of common Slope Intercept Form?
y = mx + b
100
What variable is commonly used for slope?
m
100
What is the name of the function with the parent function
y = x
Linear Function
100
Find the y intercept of the equation
3y = 4x + 6
(0,2)
100
What is the equation of the Pythagorean Theorem?
a2 + b2 = c2
200
Find the variable b in
y = mx + b,
given y = f(x) and f(0) = 4
b = 4
200
Given the slope formula
m = (y2-y1)/(x2-x1)
Find the slope between the two points
(0,0) and (3,6)
m = 2
200
What is the name of the function with the parent function
y= |x|
Absolute Value Function
200
Find the x AND y intercepts of the equation
y = 5x - 15
(3,0) is the x intercept.
(0,-15) is the y intercept.
200
If two legs of a right triangle have the lengths 5 and 12, what is the length of the hypotenuse?
Hint: Pythagorean Theorem
13
300
Find the variable b in
y = mx + b,
given y = f(x) and m = 3 and the point (0,7)
b = 7
300
Given the slope formula
m = (y2-y1)/(x2-x1)
Find the slope between the two points
(0,3) and (4,5)
m = 1/2
300
Quadratic Function
300
Find the y intercept of the equation
f(x) = 5x4 - 3x3 + 2x - 4
(0,-4)
300
Give the angles of an isosceles triangle with one angle of 70o
(2 acceptable answers!)
70o,70o,40o
70o,55o,55o
400
Find the variable b in
y = mx + b,
given y = f(x), m = 5, and the point (3,4)
b = -11
400
Describe what slope is in terms of x and y using words or numbers:
change in y / change in x
dy/dx
rise/run or (y2-y1)/(x2-x1)
400
What is the name of the function with the parent function
y=1/x
Rational Function or Reciprocal Function
400
Find the x intercept(s) of the equation
y = 9 - x2
(-3,0) , (3,0)
400
What shape is made from the parent function
r2 = x2 + y2
Circle
500
Turn the equation of a line
3x + 7y - 56 = 0
into the slope intercept form
y = mx +b
y = -3/7x + 8
500
In the equation y = mx + b , there are the points (0,3) and (2,15)
Find the slope m
m = 6
500
What is the name of the function
anxn + an-1xn-1 + a1x + a0 = 0
Polynomial Function
500
Find the x and y intercepts of the equation
y + 54 = x3 - 71
(0,-125) is the y intercept.
(5,0) is the x intercept.
500
What are the zeros (x-intercepts) of the function
y = 3x2 - 6
(-√2,0) , (√2,0)