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Algebra 1
Algebra 1 formulas
| Term | Definition |
|---|---|
| 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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