Intermediate Algebra Formulas

Intermediate Algebra Formulas

FORMULA / NAME / Explanation
/
Quadratic Formula / Used to solve for x when you have a quadratic equation in the form of
/
Discriminant / Used to determine the number of solutions to the quadratic equation
/
Slope Formula / Used to find the slope of a line when you have two points on the line:
/ Point-Slope Form of the equation of a line / Used to find the Equation of a line when given one point and the slope (m).
/ Slope intercept form of the equation of a line / slope
y-intercept
/ Midpoint Formula / Used to find the midpoint of a line segment with endpoints and
/ Distance Formula / Used to find the distance between two points: and
/ Vertex of a Parabola /
/ Direct variation / Y varies directly with x
K: constant of variation
/ Inverse variation / Y varies inversely with x
K: constant of variation
/ Joint variation / Y varies jointly with x and z
K: constant of variation.
/ Perimeter of Rectangle / P=Perimeter ; W=Width
L=Length
/ Area of Rectangle / L=Length ; W=Width
A=Area
/ Pythagorean Theorem / Used to find the missing side of a right triangle:
a=length of side; b= length of side;
c= hypotenuse
/ Area of Triangle / a=Area ; b=Base ; h=Height
/ Perimeter of Triangle / P=Perimeter ; a=First Leg
b=Base ; c=Second Leg
/ Circumference of Circle / r=Radius
π »3.14 ; c=Circumference
/ Area of a Circle / A=area r=radius
/ Distance Traveled Formula / rate time
I=Prt / Simple Interest Formula / I=interest P=Principal t= time in years
r = annual interest rate
FORMULA / NAME / Explanation
/ Volume of Cone / v=Volume ; r=Radius
π»3.14 ; h= Height
/ Volume of Cylinder / v=Volume ; r=Radius
π»3.14 ; h= Height
/ Volume of Sphere / v=Volume ; r=Radius
π»3.14
/ Area of Parallelogram / b=base h=height
P = a + b + c + d / Perimeter of Trapezoid & parallelogram / a,b,c,d are the lengths of the sides
/ Area Of Trapezoid / h=height; b and d are the lengths of the bases.
/ Volume of Pyramid / B=area of the Base ; h=Height ; V=Volume