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What you'll learn

You will learn how to solve graph and linear equations in one and two variables; solve Systems of Linear Equations using Graphing, Substitution, and Elimination; perform operations with exponents (rules of exponents); solve Rational Equations. You will also learn about operations with Radicals: simplify, add, subtract, multiply, and divide radical expressions; how to solve Radical Equations; how to solve quadratic equations using factoring, completing the square, and the quadratic formula, and more.

Requirements

1. Basic Mathematics (addition, subtraction, multiplication, and division. 2. An understanding of pre-algebra concepts will be helpful to get the most out of this course.
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Foundations of Algebra 1

Jun 03 2021 - Video Course (3 hrs 27 mins)

In this course, you will learn and master the concept of Algebra 1 with this step-by-step tutorial. The concepts you will learn are fundamental to success in higher math classes such as algebra 2, Geometry, Trigonometry, and calculus. The main topics are covered to give a diverse meaning. At the end of this course, you will be a master of algebra 1 and be fully ready for algebra 2, geometry, trigonometry, and college math. It is also for home school students who want extra help with algebra.

Created by Hugo Duran

Algebra 1

FREE

Watch Now

This course includes:

  • icon_courses 3 hrs 27 mins of video courses
  • icon_badgeFull lifetime access
  • icon_badgeGo at your own pace
  • icon_badgeCertificate of completion

Stay up to date:

What you'll learn

You will learn how to solve graph and linear equations in one and two variables; solve Systems of Linear Equations using Graphing, Substitution, and Elimination; perform operations with exponents (rules of exponents); solve Rational Equations. You will also learn about operations with Radicals: simplify, add, subtract, multiply, and divide radical expressions; how to solve Radical Equations; how to solve quadratic equations using factoring, completing the square, and the quadratic formula, and more.

Requirements

1. Basic Mathematics (addition, subtraction, multiplication, and division. 2. An understanding of pre-algebra concepts will be helpful to get the most out of this course.

Course Content

15 Units - 33 video lessons
Lesson 1
Welcome to this online algebra 1 course. In this unit, we will cover the foundation of algebra. We will discuss the definition, properties of addition, and properties of multiplication of real numbers. Next, we will go over PEMDAS (how to perform math operations from left to right) with examples.
07:36
Lesson 2
In this unit, we will go through a word problem to find the discount of a discounted item, the price of a non-discounted item, and sale of any given percentage. We will also go over variables and expressions with an example. A variable is a symbol or placeholder for something we don’t yet know. Math classes typically use x and y, but you can use whatever you want.
03:13
Lesson 3
In this lesson, we will go over evaluation of expression with examples solving using 1 variable and 2 variables. Next, you will learn about combining like terms with examples. When combining like terms, whatever has an x will be combined with whatever has an x, and those without x will be combined.
09:15
Lesson 1
In this lesson, we will go through the step-by-step process of solving one, two, and multistep equations with examples. Next, you will learn about literal equations with an example on the equation of a perimeter of a rectangle and then the height of a triangle. You will also learn about equations with variables on both sides of the equation with examples.
09:36
Lesson 2
In this unit, we will be going over equations with variables on both sides of fractions with examples. You will also learn about how to solve equations with variables on denominator.
04:58
Lesson 3
There are 3 ways you can get solutions when solving for x – one solution, no solutions, and infinitely many solutions. In this unit, you will learn about the 3 ways you can get solutions when solving for x. You will also learn about how to solve for x in linear equations with unknown coefficients.
03:09
Lesson 1
In this unit, we will go over solving inequalities. The first thing is for you to know about inequalities symbols. You will then learn about solving inequalities with variables on both sides, inequalities with both sides, and parentheses. Note that anytime you multiply or divide by a negative number, you always change the sign.
04:41
Lesson 2
In this video, we will cover a step-by-step process of solving multi step inequalities. Next, we will talk about compound inequalities with OR and AND with an example. OR condition means it has to meet either ONE or BOTH of the constraints. AND condition means that it has to meet both conditions.
06:24
Lesson 1
In this video, we will go through the introduction to dimensional analysis d=rt where d is distance, r is rate and t is time. We will solve word problems with same rate with different unit, not forgetting that distance= rate x time. You will also learn conversion from kilometer/hour to meter/second.
07:12
Lesson 2
In this video, you will learn about formulas with units. We will start with the volume of a pool. The formula for the volume of any shape is = base x height. You will also learn about comparing rates with examples.
04:49
Lesson 3
In this video, you will learn how to use units to solve problems. We will start with using units to solve problems about factory then solve problems about traveling.
04:05
Lesson 1
In this unit, we will first go through an introduction to two-variable linear equations by making a relationship between x and y. You will learn how to plot a graph and find the intercept. We will also go through a question and provide the solutions to the 2-variable linear equations.
05:42
Lesson 1
This unit is a continuation of linear equations. In this video, you will learn about slopes, examples of slopes, types of slope, and how to find the slope from a graph. Slope is the change in y over the change is x and there are positive and negative slopes. You will also learn about parallel and perpendicular slopes.
05:23
Lesson 2
In this unit, we will discuss graphing, given a point and slope with an example, finding slope from a table, and finding slope from two points. We will also talk about horizontal and vertical lines, finding the slope of a horizontal line, finding the slope of a vertical line. A quick tip is for every horizontal line; the slope is always 0.
06:59
Lesson 3
In this video, we will be talking about standard form rules, rewriting slope-intercept form to standard form, using point-slope form to slope-intercept form to find the slope from an equation, and writing linear equations in all forms
10:19
Lesson 4
In this unit, we will talk about the application of intercept and slopes, y-intercept and x-intercept meaning, finding slope and intercept from a table.
05:10
Lesson 1
In this unit, we will be talking about slope intercept form y=mx+b where m is the slope and b is the y-intercept, graph from slope-intercept equation, slope-intercept form from graph, and slope intercept from point and slope.
04:15
Lesson 2
In this video, we will continue slope-intercept form from two points. Then we will talk about point-slope form, standard form introduction, and graphing linear equation in standard form.
05:30
Lesson 3
In this video, we will continue with the standard form rules. Then we will talk about slope-intercept form to standard form, a summary of slope from an equation, writing linear equations in all forms.
10:19
Lesson 1
A system of equations sometimes uses the standard form for two linear equations that require solving. In this video, we will go through systems of equations examples, testing a solution to a system of equations, solving by graphing, setting up a system of linear equations, and solving by substitution.
08:44
Lesson 2
We will continue from the previous unit. In this unit, you will learn how to solve by the addition/elimination method. Next, we will talk about inconsistent and consistent, dependent and independent, and number of solutions to a system. We will also look at a money word problem.
08:58
Lesson 1
In this unit, we will first go through testing solutions to inequalities and a system of linear equations. You will learn about graphing 2 variable inequalities and finding the equation of a line with a given two variable inequalities from a graph.
05:13
Lesson 2
In this video, you will learn how to graph systems of inequalities. We will also go through two variables inequalities and word problem (writing), and graphing
06:34
Lesson 1
Functions consist of input and output. A function is an equation for which an x-value can be plugged into it such that it will return one y-value. In this video, you will learn about functions, evaluating functions from graph, evaluating discrete functions, and function intervals and interval notation.
07:29
Lesson 2
In this unit, we will go through domain and range, maximum and minimum, and recognition of functions from graph and table. Domain is the set of all inputs for where the function has defined outputs. Range is the set of all possible outputs of a function. Minimum is like a hill, and maximum is like the bottom of a cup. We will also talk about inverse functions.
08:29
Lesson 1
In this video, we will be going through rate of change. Rate of change is the change in value from two points. We will take a look at a graph example and apply the formula to solve the questions. We will also go through a table example.
05:06
Lesson 1
A sequence is a pattern of numbers e.g. 2,3,4,5. Arithmetic sequences generally follow the form of a term plus or minus a number; this is known as the common difference. In this video, you will learn about sequence, arithmetic sequences, recursive formula, explicit formula, and using recursive and explicit forms of arithmetic sequences with examples.
05:35
Lesson 2
Arithmetic sequences use a pattern of adding or subtracting, geometric sequences use a pattern of multiplying. Each term is found by multiplying the first (non-zero) term by a non-zero number (common ratio). In this video, we will go through geometric sequences, geometric sequence explicit formula, geometric sequence recursive formula, and work examples.
06:38
Lesson 1
Absolute value means the distance away from zero. Absolute value function is written as abs(x) OR |x|. In xy-coordinate plane, the absolute value function will use the distance away from zero referring to the y-axis. In this video, you will learn about absolute value function, and graphing.
01:28
Lesson 1
An exponent tells a base how many times to multiply itself by. In this video, you will learn about exponent rules which includes product rules Xa . Xb=Xa+b, quotient rule, power rule, with their formula and examples. You will also learn about radical symbol that tells the radicand how many times to reduce itself by based on the index and radical rules.
06:57
Lesson 2
In this unit, we will continue from where we stopped in the last video. We will go over simplifying exponents and radicals, and we will take a look at work examples.
06:13
Lesson 1
This unit will cover piecewise functions. Piecewise functions are functions that have “pieces” of functions in the graph. In this video, you will learn about piecewise functions, evaluating piecewise functions, and graphing piecewise functions with examples.
05:10
Lesson 2
In this unit, we will continue from the last unit, and we will start from domain and range of step functions with examples. Then, we will go over domain and range of piecewise linear functions with examples. Thank you for taking the time to take this course.
06:18

About Instructor

instructor

Hugo Duran

Mathematician

I'm a 3rd year Mechanical Engineering Student at California State University, Long Beach. I am interested in Algebra and how things work; I want to know the 'why' of things that interest me. I believe in growing the whole person through exercise, diet, connections, life, servitude, work, and passion.

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