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# Algebra 2

### Semester 1 final

Question | Answer |
---|---|

Natural Numbers | Counting numbers(1,2,3,4) |

Whole Numbers | Add Zero |

Integer Numbers | Adding negatives |

Rational Numbers | Add Fractions |

Irrational Numbers | Radicals |

Real Numbers | Any number |

Opposite(Additive Inverse) | Number add to original number to equal zero |

Reciprocals( Multiplicative Inverse) | Get 1 for an answer |

Closure Property | A+b is a real #, ab is a real # |

Commutative Property | a+b= b+a |

Associative Property | (a+b) + c= a + (b+c), (ab)c= a(bc) |

Identity Property | a+ 0 =a, a* 1= 1 |

Inverse Property | a+(-a)=0, a*1/a= 1 |

Distributive Property | a(b+c)= ab+ac |

Relation | Set of pairs of input and output values |

Domain | Set of all inputs(x-values) |

Range | Set of all outputs(y-values) |

Function | Relation which each input has exactly one output |

Vertical Line Test | If a vertical line passes through 2 or more points on a graph then the relation is not a function |

Linear Equation | First degree equation |

Linear Function | Function graph is in a line |

Slope- Intercept Form | y=mx+b |

Point- Slope Form | y-y1=m(x-x1) |

Standard Form | Ax+By=c |

X intercept | y=0 |

Y intercept | x=0 |

Hoy | Horizontal, 0 slope, equation is y=# |

Vux | Vertical, undefined slope, equation is x=# |

Independent Solution | Has one solution |

Dependent Solution | Infinite Solutions |

Inconsistent Solution | No solution |

Same slope, same y int. | Dependent |

Same slopes, diff y int. | Inconsistent |

Different slopes, different y int. | Independent |

Substitution | Solve 1 equation for 1 of variables. Substitute equation into other equation and solve. Substitute answer into one of the original equations. |

Elimination Method | Line up variables and constants. Make coefficients of 1 variables opposites by multiplying entire equation by something. Add 2 equations together. Solve for left over variable. Substitute. |

Elimination with 3 Equations | Use 2 equations to eliminate 1 variable. Use 2 other equations the same variable. Use 2 new equations with 2 variables to solve like before. |

Sin | Opposite/Hypotenuse |

Cos | Adjacent/Hypotenuse |

Tan | Opposite/Adjacent |

Csc | Hypotenuse/Opposite |

Sec | Hypotenuse/Adjacent |

Cot | Adjacent/opposite |

Zero Matrix | All elements equal 0(Identity property of addition) |

Opposite Matrix | Added to original Inverse Property of Addition |

Equal Matrices | Matrices with same dimensions and equal corresponding elements, when simplified |

Quadratic Function(Standard Form) | f(x)= ax^2+bx+c |

Parabola | Graph of quadratic. |

Axis of Symmetry | Vertical line that divides a parabola into 2 parts mirror images |

Vertex | point parabola intersects axis of symmetry |

Y-Coordinate | is either the min. or max. of the function |

Vertex Form | y=a(x-h)^2 +K |

The Discriminant | Equation in form ax^2+bx+c=0 value of b2-4ac |

Created by:
tatummilo333