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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
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