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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 |