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# Algebra 1

### Algebra 1 formulas

TermDefinition
y =mx+b Slope-intercept formula
m is slope
slope is (a point on a graph) rise/run
b is y-intercept
y-intercept is (on graph) how high or low your starting point is
What is combining like terms in a example of: 8y-1y Adding the same term together to get a simplified answer. Example solved: -1y
GEMNDAS stands for Grouping Exponents Multiply Divide Addition Subtract
Line of best fit formula FIRST DESMOS: y1~ax1+b NEXT FORMULA YOU WRITE FOR ANSWER: y=ax+b
Line of best curve formula FIRST DESMOS y1=ax^2(lower)1+bx1+c NEXT FORMULA YOU WRITE FOR ANSWER: y=ax^2+bx+c
Standard form Ax+By=C
Point-Slope form y-y1=m(x-x1)
How to find m (slope) using 2 points of a line (#,# and #,#) y2-y1/x2-x1
In a point on a graph (#,#), where is the x and y located? x is first, y is second: x,y
What are the 3 rules for standard form? -A and B must be integers -A must be positive (divide by -1 or 1) -A and B must be simplified, if can -No fractions for A and B
When b increases, the graph is shifted upwards/downwards upwards
When b decreases, the graph shifted upwards/downwards downwards
When the scale factor changes, the line becomes (flatter/steeper) flatter
When the scale factor is less than one or ___ steeper
How to find scale factor: 1 x slope = scale factor
Vertical lines go in what direction up and down
Horizonal lines go in what direction side to side/left to right
HOY VUX Horizonal, Zero slope, y= Veritcal, Undefined slope, x=
0/5 = undefined or 0 Zero/0
5/0 = undefined or 0 Undefined slope
Rise/run and directions rise, up and down/run, ONLY to the right
What is a function (important) a function is a relationship between inputs where each input is related to exactly one output
Example of a function (not an answer just something to look at) x y 2 -> 7 3 -> 10 5 -> 16 8 -> 25
Example of NOT function (not an answer just something to look at) x y 1 -> 0 2 -> 0 Because the y's are the same (2) 2 -> 4 If paired with more y's = NOT FUNCTION 3 -> 5 If a y is paired with multiple x's YES A FUNCTION
"zeros" means x intercepts (check Unit 3 Test)
"range" means y (plug in x, check Unit 3 Test)
"domain" means x (plug in y, check Unit 3 Test)
"output" means Y
"inputs" means x
Parallel lines are same
Perpendicular lines are opposite reciprocals (switch sign, flip numbers)
m = -3 and is perpendicular 1/3
In y=mx+b perpendicular, do you flip the slope before solving or after solving equation? ALWAYS BEFORE
Find the Equation of a line perpendicular to y= -3 passing through the coordinate (2,6) 6/1 = -1/6 x=-1/6 (flip y to x)
Find the Equation of a line parallel to x= 4 passing through the coordinate (-2,3) x= -2 (stays the same)
2 rules for parallel lines -Never touch -Have the same slope
A slope is steep is when it is at a sharper angle and harder to go up
A slope is flatter when it is at a "flatter" angle and is easier to go up
What is a compound inequality Any inequality connected by "and or "or". You will have 2 numbers in your solution and (most of the time) you will have 2 circles in your graph.
KCF stands for Keep Change Flip (for dividing fractions)
_POI stands for _ Property of inequality
_POE stands for _ Property of equality
CLT stands for Combining like terms
What does "cube" mean ^3
What does "squared" mean ^2
How do you multiply fractions? Cross multiply, the "butterfly method"
If an equation is IR, or all real numbers, what would an answer could be? 0=0, 1=1, 2=2, etc
If an equation is NS, or no solution, what would an answer could be? 0=22, 15=0, etc
What does "<" mean is less than
What does ">" is greater than
Created by: acuda25
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