Tutoring is available for Math, Science, and Writing in the Learning Commons (L200).

Perform the four fundamental operations on a set of real numbers

- Adding and subtracting negative numbers
- Multiplying and dividing negative numbers
- Adding and subtracting fractions
- Multiplying fractions
- Dividing fractions
- Order of operations

Solve linear equations

- How to solve simple linear equations in algebra
- Algebra: linear equations 1
- Algebra: linear equations 2
- Algebra: linear equations 3
- Algebra: linear equations 4

Solve applications of linear equations including stated problems, formula manipulation, and proportion problems

Graph linear equations in two variables

Solve systems of linear equations in two variables using the graphing, addition, and substitution methods

Solve stated problems involving systems of linear equations

Apply the definition and laws of integer exponents to simplify expressions

Perform the four fundamental operations on polynomials

Factor difference of square polynomials, perfect square polynomials, and general trinomials or with greatest common factor

Solve quadratic equations

Applications of quadratic equations

Define, represent, perform operations on real and complex numbers

- Simplify fractions
- Multiplying fractions
- Dividing fractions
- Adding/Subtracting fractions
- Order of operations with real numbers
- Definition of complex numbers (6 videos)
- Complex number operations

Recognize, understand, and analyze features of a function

- Definition of functions
- Graphing absolute and piecewise functions
- Domain and range of functions and graphs

Recognize and use algebraic (field) properties, concepts, procedures (including factoring), and algorithms to combine, transform, and evaluate absolute value, polynomial, radical, and rational expressions

- Factoring special products (4 videos)
- Factoring quadratic expressions (6 videos)
- Factoring by grouping
- Adding/Subtracting polynomials
- Multiplying polynomials
- Solving a quadratic equation by factoring

Identify and solve absolute value, polynomial, radical and rational equations

- Simplifying rational expressions
- Adding and subtracting rational expressions
- Graphing rational functions
- Solving rational equations
- Simplifying radical expressions
- Absolute value equations (5 videos)

Identify and solve absolute value and linear inequalities

Demonstrate and apply knowledge of properties of functions, including domain and range, operations, compositions, and inverses

- Function inverses
- Evaluating function expressions (sum, difference, product, quotient - 4 videos)
- Evaluating composite functions
- Evaluating function expressions
- Domain and range of a function and of a graph

Recognize and apply knowledge of polynomial, rational, radical, exponential, logarithmic, absolute value, and piecewise-defined functions

- Polynomial basics (definition of a polynomial, adding, subtracting, multiplying, simplifying - 10 videos)
- Simplifying rational expressions
- Simplifying complicated equations
- Solving rational equations
- Inequalities (10 videos)
- Compound and absolute value inequalities
- Absolute value equations and inequalities
- Logarithms definition
- Logarithm properties
- Natural logarithms
- Midpoint and distance formula
- Exponential equations

Apply graphing techniques

- Graphing of quadratic equations (including symmetry and roots)
- Completing the square
- Transformation of functions
- Properties and features of functions (including even/odd functions)
- Circles
- Graphing rational functions

Use the different theorems of polynomials (including the Rational Zeros Theorem) to evaluate all roots of higher degree polynomial and rational functions

- Factoring in order to find roots
- Dividing polynomials
- Synthetic division
- Factoring and roots of higher degree polynomials

Recognize and solve systems of linear equations and their applications using matrices

- Basic matrix operations (definition, scalar multiplication, addition, and subtraction of matrices)
- Matrix multiplication
- Inverses and determinants of matrices

Recognize and solve systems of linear equations and their applications using matrices

- Basic sequences and series (including arithmetic sequences and the nth term of a sequence)
- Geometric sequences
- Finite geometric series
- Sum of an infinite geometric series

Recognize the different classifications within the real and complex number systems

- Last Updated: Feb 24, 2020 9:35 AM
- URL: https://libguides.eastfieldcollege.edu/tutoring
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