algebra 1 regents review

Multiplication/Division

If one number is irrational, the result is irrational. If both are irrational, the result can either be rational or irrational.

make functions equal to each other and solve (either w reg PEMDAS or with factoring)

how to find when f(x) is equal to g(x) algebraically

graph both functions and find points of intersection (2nd, trace, intersect) (or 2nd, graph, table)

how to find when f(x) is equal to g(x) graphically

isolate y, use y-intercept and slope to start off graph// or put isolated equation in calc and look at table

how to graph a line

Addition/Subtraction

if at least one number is irrational, the result is irrational.

flip the sign

if you multiply or divide both sides by a negative number in an inequality...

a value being added over time// a common diff

linear functions show

y-y1=m(x-x1)

point slope equation

same thing

roots, solutions, x-intercepts

factor out gcf, factor parentheses, bring gcf down to final answer

rules of factoring

each x value is paired to only one y value

a function is when

it passes the vertical line test

a graph shows a function if

a distance a value is from 0// is always positive

absolute value reps

domain

all possible x values

range

all possible y values

ex of a linear function

each wk sally adds 15 dollars to her account

y=ab^x

exponential equation

factor, percent, or rate

exponential function have a constant

a value being multiplied over time or common ratio

exponential function shows

doubles, triples, etc

exponential function words

subtract given percent from 100% and change to a decimal

for depreciates, loses value, decreases

add given percent to 100% and change to decimal

for interest, appreciates, increases

y=mx+b

slope intercept equation

try factoring and setting factors equal to 0

solving quad equations

substitute the value in for the variables

to evaluate functions

parentheses

whenever you substitute use