Math Final

top right quadrant of graph

1

top left quadrant

2

bottom left quadrant

3

bottom right quadrant

4

all possible inputs of a relation, independent, x axis,

domain

all the possible outputs of a relation, dependent, y axis

range

every input has only one output, passes pencil test

function

Y= 3x+2 when x = 2

8

is time indep or depend?

independent

is pay indep or depend?

dependent

Any equation that can be written in the standard form Ax+By= C

Linear equations

slope

rise over run

Find slope of (2,1) and (3,3)

2/1

find Y axis of -4x + 5y=40

0,8

Point slope form

y-y1 = m (x-x1)

Y-Y1= M (X-X1)

point slope form

1. solve one equation for one variable
2. substitute the expression from step 1 into the other equation and solve for the other variable
3. substitute value from step two into the original equation and solve to find value of the other

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Substitution

1. stack equations


1. add or subtract to eliminate one variable to solve
2. substitute value into either of the original equations
3. write solution as an ordered pair

elimination

(5^3)^4=

5^12

y= starting (percent as a decimal + 1)exponent of time

exponential growth formula

(6^0)

1

write y= -6(x-1) in slope intercept form

y= -6x+6

find the x intercept of -4x+3y=24

\-6, 0

is -8 + 3^2x a linear function?

yes

is 6 + 1/x a linear function?

no

is 7-x^5 a linear function?

no

name the polynomial by degree + # of terms:

6x-5yx+y^2

quadratic trinomial

what is the equation of a line that passes through point (4, -5) and is parallel to the line y= 3x+1

y= 3x -17

Line A passes through the points (2,4) and (1,2). Line B passes through points (-12, 0) and (-6, -6,) where do they intercept? what would you do to solve this?

find slope

substitution

solve -2a -13 < 9a +20

a>-3