Mastering Algebra

Learn through carefully explained and annotated examples

4.50 (10 reviews)
Udemy
platform
English
language
Math
category
instructor
109
students
19.5 hours
content
Oct 2017
last update
$59.99
regular price

What you will learn

describe positive and negative numbers

use signed numbers to represent various situations

compare numbers and draw them on a number line

Understand and use exponents

Translate common English expressions into mathematical form

Estimate the results of mathematical operations to check for reasonableness

Form percents, decimals and find percentages

Understand how to find percents of increase and decrease

Understand why variables are needed, and how to introduce and define them

Understand how to simplify mathematical expressions

Understand how to create and simplify variable expressions

Learn how to use variable expressions in geometry

Learn how to solve equations of the form ax=b

Learn how to apply and solve word problems with equations of the form ax=b

Learn how to solve and apply equations of the form a+x=b

Learn how to solve and apply equations of the form ax+b=c

Learn how to solve and apply proportions

Learn how to solving equations with variables on both sides

Learn how to apply equations with variables on both sides

Learn how to apply equations to triangles

Learn how to add/subtract fractions and find least common multiples of small numbers

Learn how to find least common multiples of larger numbers

Learn how to solve equations with fractions

Learn how to solve literal equations

Learn how to solve absolute value equations

Learn about equations without solutions and with infinitely many solutions

Learn how to solve simple interest and mixture problems

Learn how to find parallel and perpendicular lines

Learn how to graph lines using x/y intercepts and slope/y intercept

Learn how to solve systems of equations using graphing, elimination and substitution

Learn how apply systems of equations to mixture problems

Learn how to apply systems of equations to wind/current motion problems

Learn how to solve a variety of coin problems

Learn how to solve linear inequalities

Learn how to expression solutions to inequalities using interval notation

Learn how to solve and/or/absolute value inequalities

Learn how to apply inequalities to a variety of situations

Learn how to solve common work rate problems

Learn how to use variable substitution to make solving equations easier

Learn how to graph inequalities in two variables

Learn how to factor expressions using the greatest common factor

Learn how to factor expressions using grouping

Factor trinomials with leading coefficient 1, leading coefficient different from 1

Factor expressions using the difference of squares pattern

Learn how to factor higher degree expressions

Multiply binomials with FOIL

Solve quadratic equations with only two terms on the left side

Simplify square roots

Solve a variety of equations with square roots

Solve quadratic equations with completing the square

Solve quadratic equations with the quadratic formula

Description

Algebra is fundamental to the study of mathematics. This course offers a comprehensive introduction to the topics of Algebra I. Please be sure to read through the course goals and the course curriculum in order to decide whether this is the right course for you. Here are the benefits of enrolling in this course:

1. Get 19 hours of HD content

2. Get PDF's of the content

3. Get clearly explained and annotated examples illustrating a wide variety of topics

4. Get 310  exercises with detailed, step by step solutions

5. Some of the exercises are routine, and some are very challenging

Thanks for reading, and if you're ready to begin learning algebra, I will see you inside!

Parts of promo licensed from presentermedia

Content

Get the needed software

Introduction

Operating on numbers only

Positive, negative integers, and place values
Representing various quantities with signed numbers
Comparing numbers
Operating on signed numbers
Applications of signed numbers
Understanding exponents
Simplifying numerical expressions
Translating English into numerical expressions
Estimating products, sums and quotients
Percents, part 1
Percents, part 2
Percent change

Variable expressions

What is a variable and why are they needed
Simplifying expressions, part 1
Simplifying expressions, part 2
Creating and evaluating variable expressions, part 1
Creating and evaluating variable expressions, part 2
Variable expressions with exponents
Variables expressions with geometric shapes

Solving linear equations

Solving equations of the ax=b form, part 1
Solving equations of the ax=b form, part 2
Applications of equations of the form ax=b
Solving and applying equations of the form a+x=b
Solving equations of the form ax+b=c
Applying equations of the form ax+b=c
Applying equations to rectangles
Solving and applying proportions
Solving equations with variables on both sides
Applying equations with variables on both sides
Solving common average problems
Using equations with triangles

Solving linear equations with fractions and decimals

Forms of the number 1 and least common multiples
Solving x+a=b with fractions
Solving ax+b=c with fractions
Solving ax+b=cx+d with fractions
Solving equations with decimals
Solving literal equations
Solving equations with absolute value
Equations of a variety of types

Additional applications of linear equations

Solving mixture problems with one variable
Simple interest problems
Solving age problems
Applying the concept of absolute value
Variation problems, part 1
Variation problems, part 2
Solving consecutive integer problems
Challenge problems
Evaluating more complex variable expressions

Graphing

Graphing ordered pairs
Graphing horizontal and vertical lines
Equations of lines from graphs
Graphing using slope and y intercepts
Graphing using x and y intercepts
Finding parallel lines
Finding perpendicular lines
Spiraled review
Applications of slopes and intercepts

System of equations

Solving simple systems using substition
Solving systems with substitution after isolating a variable
Solving systems using elimination
Solving systems with decimals
Solving systems by graphing
Understanding the three types of solutions to systems

Applications of systems of equations

Mixture problems with two variables
Mixture problems with two variables, part2
Solving wind and current motion problems
Investment problems
Ticket sales problems
Solving coin and bill problems

Linear inequalities

Solving linear inequalities, part 1
Solving linear inequalities, part 2
Solving and compound inequalities
Solving or compound inequalities
Solving absolute value inequalities
Graphing solutions to inequalities
Applying inequalities
Advanced inequality concepts 1
Advanced inequality concepts 2
Misc. exercises
Graphing inequalities in two variables

Factoring

Factoring with GCF, part 1
Factoring with GCF, part 2
Factoring with GCF, part 3
Factoring with grouping, part 1
Factoring trinomials with grouping
Factoring trinomials with leading coefficient of 1
Factoring trinomials / leading coefficient not 1
Factoring differences of squares
Factoring differences of cubes and sums of cubes
Factoring higher powers
Multiplying binomials with FOIL

Solving quadratic equations

Solving quadratic equations with only two terms
Solving quadratic equations with three terms on a side
Applying quadratic equations, part 1
Applying quadratic equations, part 2
Simplifying square roots
Solving quadratics equations with roots, part 1
Solving equations with square roots, part 2
Handling roots of negative numbers
Solving quadratics by completing the square
Solving quadratics by the quadratic formula
Additional applications of quadratics equations
Solving higher degree equations
Where to go from here

Screenshots

Mastering Algebra - Screenshot_01Mastering Algebra - Screenshot_02Mastering Algebra - Screenshot_03Mastering Algebra - Screenshot_04

Reviews

Caden
December 3, 2020
So far I’m enjoying this course, very detailed. Only a few videos in, but I’m brushing up on my algebra because I haven’t used it in forever. Of course, I’ve forgotten most of it. Now I’m doing something where I actually need it and more so I’m re-learning.
Jerrold
March 16, 2017
Material covered is basic but moves rather quickly. A great refresher course but an even better "first time" course. I highly recommend to anyone interested in Math.

Charts

Price

Mastering Algebra - Price chart

Rating

Mastering Algebra - Ratings chart

Enrollment distribution

Mastering Algebra - Distribution chart
1078464
udemy ID
1/16/2017
course created date
11/21/2019
course indexed date
Bot
course submited by