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- Minnesota
- Inver Hills Community College
- Mathematics
- Mathematics 1118
- Leslie
- Flash Cards MATH1118

Paul D.

Parts of a circle

r = radius

C = Circumference

A = Area

Vertex form of the quadratic formula

F_{(x)}=a(x-h)^{2}+k

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Definition of perpendicular lines

m_{1} * m_{2} = -1

General form of a line/linear equation

Ax + By = C

A and B ≠ 0

Slope-Intercept form

y = mx + b

m = slope

b = y intercept

Point-Slope form

(find the equation of a line)

y - y_{1} = m(x - x_{1})

Slope formula

m = y_{2} - y_{1} / x_{2} - x_{1}

Solution to an equation

find x intercepts

Check for x-axis symmetry

Replace y with -y and solve. If equivalent equation, x-axis symmetry.

Check for y-axis symmetry

Replace x with -x and solve. If equivalent equation, y-axis symmetry.

Check for Origin symmetry

Replace x with -x and y with -y and solve. If equivalent equation, origin symmetry.

Midpoint formula

X_{1}+X_{2}/2 , Y_{1}+Y_{2}/2

Distance formula

_______________

√(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2}

Discriminant

> 0 = 2 intercepts

< 0 = no intercepts

b^{2} - 4ac

> 0 = 0 or 2 intercepts?

< 0 = 0 or 2 intercepts?

Standard (Vertex) form of a quadratic equation

a(x-h)^{2} + k

vertex = (h,k)

Axis of symm: x = h

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Difference Quotient

Sum of two cubes (x^{3}+ a^{3})

(x + a)(x^{2}- xa + a^{2})

Difference of two squares (x^{2}- a^{2})

(x - a)(x + a)

Difference of two cubes (x^{3}- a^{3})

(x - a)(x^{2}+ ax + a^{2})

Convert Fahrenheit to Celsius

5/9(F-32)

Surface area of a sphere

4Πr^{2}

Area of a sphere

Πr^{2}

Circumference of a circle

2Πr

Parts of a triangle

b = base

h = altitude (height)

C = Circumference

Area of a triangle

1/2bh

Parts of a rectangle

l = length

w = width

A = Area

P = Perimeter

Area of a rectangle

lw

Perimeter of a rectangle

2l + 2w

Parts of a rectangular box

l = length

w = width

S = Surface area

V = Volume

Parts of a sphere

r = radius

V = Volume

S = Surface area

Volume of a sphere

4/3Πr^{3}

Parts of a right circular cylinder

r = radius

h = height

V = Volume

S = Surface area

Volume of a cylinder

Πr^{2}h

Surface area of a cylinder

2Πr^{2} + 2Πrh

Volume of a cone

1/3 x b x h

Volume of a cone

1/3 x Π x r^{2} x h

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