Algebra Two - Quia
1 |Absolute value |
| |
|2 |Complex Fraction |A fraction that contains a fraction in the numerator, denominator or both |
|3 |Linear Regression |A line of best fit |
|4 |Direct Variation | |
| | |, x and y increase or decrease together |
| | | |
|5 |Inverse Variation | |
| | |as x increases y decreases and vice versa |
| | | |
|6 |Consistent Dependent System |A system of equations with an infinite number of solutions |
|7 |Consistent Independent System |A system of equations with exactly one solution |
|8 |Constraints |Boundaries used in Linear Programming |
|9 |Feasible region |The area of intersection of a system of inequalities |
|10 |Inconsistent System |A system of equations with no solution |
|11 |Matrix |An organization of numbers or variables in columns and rows |
|12 |Objective Function |The function being maximized or minimized in Linear Programming |
|13 |Zero product property |If ab=0, then a=0, b=0, or both a and b = 0 |
|14 |Complex conjugate | |
|15 |Complex Number | |
| | |Any number of the form where a,b are real numbers |
| | | |
|16 |Imaginary Number | |
|17 |Axis of Symmetry |The line that splits a graph into symmetrical parts |
|18 |Circle |[pic] |
|19 |Discriminant | |
| | |, used to determine the number and type of solutions to a quadratic |
| | |equation |
| | | |
|20 |Parabola | |
|21 |Vertex |Maximum or minimum of a parabola |
|22 |Zeros/Roots |The x - intercepts of a function |
|23 |Asymptote |The line that a curve approaches |
|24 |Composition | |
|25 |Inverse functions |A reflection over the line y = x |
|26 |Iteration |A function in which the output becomes the next input |
|27 |Recursive Formula |In a sequence, shows how to find the nth term from the terms before or after it |
|28 |Radical Expression |An expression with variables inside/under the radical |
|29 |Rational Expression |A polynomial divided by a polynomial |
|30 |Arithmetic sequence |A pattern of numbers where the common difference of consecutive terms is the same |
|31 |Arithmetic series |The sum of the elements of an arithmetic sequence |
|32 |Geometric Sequence |A sequence of numbers where each term is found by multiplying by a constant |
|33 |Geometric Series |The sum of n terms of a geometric sequence |
L to J Concepts
Algebra II
Essential Learning Example Problem with Solution
1. Point slope form of a line
2. Linear Regression Write equation of line of best fit through (1,1), (2,1),(3,3), and (4,4)
3. Solve for Specified Variable solve for [pic] given
4. Graphing Linear Equations
[pic]
5. Graphing Linear Inequalities
[pic]
6. Direct Variation y varies directly as x, when x = 5, y = 25 find y when x = 7
7. Inverse Variation x varies inversely as y, when y = 12, x = 10
find x when y = 4
x=30
8. Graphing Absolute Value Functions
9. Solve Absolute Value Equations
[pic]
10. Graphing Greatest Integer Functions
11. Solve Compound Inequalities
12. Solve systems of equations by substitution.
13. Solve systems of equations by graphing.
And identify the type of solution
Consistent
Dependent
(3,-1)
Consistent
Independent
No solution
Inconsistent
14. Solve systems of equations by elimination. [pic]
15. Graphing Systems of Inequalities
16. Simplifying with Rule of Exponents
17. Multiply Polynomials [pic]
18. Divide Polynomials
19. Factor Polynomials
20. Add/Subtract Polynomials
21. A third degree equation
22. A fourth degree equation
23. Simplification of complex number
24. Addition of complex numbers (2 + 3i ) + ( 5 + 2i ) = 7 + 5i
(3 – 5i ) + ( 6 + i ) = 9 – 4i
25. Subtraction of complex numbers (2 + 3i ) - ( 5 + 2i ) = -3 + i
(3 – 5i ) - ( 6 + i ) = -3 – 6i
26. Multiplication of complex numbers ( 6 + 2i )( 3 – 5i ) = 28 - 4i
( 3 + 2i )[pic]= 5 + 12i
27. Division of complex numbers
28. Cyclic Powers of i
29. Solve by completing square [pic]
30. Solve by using square roots
31. Solving by quadratic formula
32. Solve using Quadratic Techniques
33. Use the Discriminant to Find the Type discriminant = -191 of Roots and Number 2 imaginary roots
34. Graph [pic]
Graph [pic]
35. Determine if a relation is a function {(0,2), (3,4), (0,5), (-12,-1)} --no
y = 3x – 1 --yes
vertical line test for functions
36. Find [pic] [pic]
37. Identify the domain and range of a function Domain
Range
38. Determine if a function has an inverse, if so y = 3x+2
find it and graph it [pic]
39. Recursion and Iteration Find the first three iterates
40. Addition of radicals
41. Subtraction of radicals
42. Multiplication of radicals
43. Division of radicals
44. Radical equations [pic] x = 33/2
[pic] x = 9/2
[pic] x = 4 or 1
45. Simplify Rational Expressions
[pic]
46. Rational Equations
47. Arithmetic Sequences
48. Arithmetic Series
49. Geometric Sequence
50. Geometric Series
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