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Master College Algebra

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77 skills · 786 questions

All Skills

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77 core skills 100% total weight

01

Exponential Growth and Decay Models

02

Solving Exponential Equations

03

04

Definition of Logarithms

05

Log Properties (Product, Quotient, Power)

06

Logarithmic Models

07

Solving Logarithmic Equations

08

09

Radical Equations and Extraneous Solutions

10

Rationalizing Denominators

11

Simplifying Radicals and Combining Like Radicals

12

Absolute Value Equations

13

Absolute Value Inequalities

14

Compound Inequalities

15

Linear Inequalities and Interval Notation

16

Solving Linear Equations (Including Fractions)

17

Factoring Out Greatest Common Factor (GCF)

18

Rational Expressions and Domain Restrictions

19

Real Numbers: Operations & Properties

20

Simplifying Algebraic Expressions

21

Average Rate of Change

22

Composition of Functions, Domain of Composition

23

Determine Domain and Range

24

Function Notation: Evaluate and Interpret

25

Relations and Functions

26

End Behavior (Intro)

27

Intercepts and Symmetry

28

Piecewise Functions: Evaluate and Graph

29

Finding and Verifying Inverse Functions Algebraically

30

Graphing Inverse Functions and Symmetry

31

One-to-One Functions

32

Combining Transformations

33

Graphing from Parent Functions

34

Shifts, Stretches/Compressions, and Reflections

35

Equation of a Line Formats

36

Linear Modeling from Data/Word Problems

37

Parallel and Perpendicular Lines

38

Slope: Compute and Interpret

39

Solve Systems Graphically and Interpret Intersections

40

Solve Systems of Linear Equations: Elimination

41

Solve Systems of Linear Equations: Substitution

42

Systems of Equations in Applications

43

Dimensional Analysis and Unit Consistency

44

Mixture Problems

45

Rate Problems (Work, Motion, and Units)

46

Translate Word Problems into Expressions, Equations

47

Exponential Regression Interpretation (Technology-Assisted)

48

Interpreting Scatterplots and Choosing a Model

49

Linear Regression Interpretation (Technology-Assisted)

50

Complex Solutions to Quadratic Equations

51

Imaginary Unit and Complex Numbers

52

Factoring Trinomials and Special Products

53

Graphing Polynomial Functions: Zeros and Multiplicity

54

Polynomial Graphs: Turning Points, End Behavior

55

Polynomial Long Division and Synthetic Division

56

Polynomial Operations: Add, Multiply, and Factor

57

Zeros, Factors, and the Factor Theorem

58

Graphing Parabolas: Vertex, Symmetry, Intercepts

59

Quadratic Formula and the Discriminant

60

Quadratic Models and Optimization (Max/Min)

61

Vertex Form and Completing the Square

62

Rational Inequalities Using Sign Charts

63

Solve Rational Equations

64

Add and Subtract Rational Expressions

65

Complex Fractions

66

Multiply and Divide Rational Expressions

67

Domain Restrictions, Holes, and Discontinuities

68

End Behavior via Degree Comparison

69

Slant (Oblique) Asymptotes

70

Vertical and Horizontal Asymptotes

71

Annuities and Loan Payments (Intro)

72

Present Value and Future Value

73

Simple Interest and Compound Interest

74

Arithmetic Sequences: Explicit and Recursive Forms

75

Geometric Sequences: Explicit and Recursive Forms

76

Sum of Arithmetic Series

77

Sum of Geometric Series