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39 Cards in this Set

  • Front
  • Back

Lines will NOT intersect at all

Parallel lines NO SOLUTION

Lines intersect at ONE point

One solution

Lines ON TOP of each other

Infinite Solutions

Slope

Rise / run


y2 - y1 / x2 - x1

Slope formula

y = mx + b

Slope standard form

DIRT

D = rt

Domain

Inputs or the X values

Range

Output or the Y values

Line of best fit

Drawn through scatterplots to describe relationship between two variables (x,y)



Reflects the trend

x0

Y intercept aka b

k

Rate of slope aka m

y= kx + x0

Linear growth

y = x0 (1 + r) ^ x

Exponential equation

Standard Deviation

How far a typical data point is from the mean.




High means spread out.


Low means close.

Margin of Error

Max difference between true value and random sample value

Skewed to the LEFT

Tail is longer on left side

Skewed to the RIGHT

Tail is longer on right side

Probability

# desired outcomes/ # total possible outcomes

a^b x a^c =

a ^ (b+c)

a^b / a^c =

a^ (b-c)

(a^b)^ c =

a^ (bc)

a^ -b =

1/ a^b

Simple zero

Occurs once in a polynomial

Important for long division

Don't forget place holders

Work = ?

W= rt

f(x)

Dependent variable output aka y

k

Rate of change/ slope aka m

f(x) = kx + f(0)

Standard form linear equation

f(0)

y intercept or b

g(x) = g(0) (1+ r)^x

Growth or decay formula

(f+g)(x) =

f(x) + g(x)

(f-g)(x) =

f(x)- g(x)

(fg)(x) =

f(x) • g(x)

(f/g)(x) =

f(x) / g(x)

(f o g)(x) =

f(g(x))

y= ax^2 + bx + c

y intercept is c

y= a(x-m)(x-n)

Solution = m and n


X intercepts

y = a(x-h)^2 + k

(h,x) is vertex