Professor Dave Explains
Introduction to Algebra: Using Variables
An introduction to algebra and the concept of variables.
Curated Video
Introduction to Evaluating One-Step Algebraic Expressions
In this video, the teacher explains how to evaluate one-step algebraic expressions by substituting a given number for the variable. They demonstrate this process using various examples, showing how to correctly substitute and perform the...
Curated Video
Writing and Evaluating Algebraic Expressions Using a Table
In this video, the teacher explains how to write and evaluate algebraic expressions with multiple operations by using the order of operations. They also provide a real-world scenario of a person saving money and paying parking fees, and...
Curated Video
Evaluating Multiple Step Algebraic Expressions by Substitution
In this video, the teacher explains how to evaluate multiple step algebraic expressions by substituting numbers for variables. The lesson emphasizes the importance of following the order of operations and provides examples of evaluating...
Curated OER
How Do You Use Addition to Solve an Inequality Word Problem?
Word problems. Inequalities. Money. What? Does Marissa have enough money left in her bank account to go to the movies? One variable, two given amounts. Set up this inequality to determine how much Marissa needs to have in her bank...
Curated OER
How Do You Complete a Table By Plugging in Values?
Given a table of values and an algebraic expression, plug in the given values and complete the table. There are many, many uses for tables and this one provides some beginning level practice.
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How Do You Use the Graph of a Linear Equation to Solve a Word Problem?
There are rabbits, rabbits, rabbits everywhere. Not this group of rabbits. Use a table to find some x and y values to create a graph to solve this word problem. It's a rather peculiar word problem in that it is trying to find when a...
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How Do You Write a Relation from a Word Problem?
This word problem has only one set of given numbers. How does one make a graph with only one set of numbers? Make a table to get the other set of values. Now these values make ordered pairs and can be plotted on a graph.
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How Do You Solve a Word Problem with a Rational Equation?
Translate a word problem into a rational equation. This word problem might cause some to pause and ponder, and some to just give up and skip the problem altogether. It does involve some fractions, so watch this video and get a better...
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How Do You Multiply Quotients of Monomials?
Multiply two monomial rational expressions and then rewrite the solution in simplest form. Multiplying seems straightforward, but what about the reducing part? Find the greatest common factor. Then divide the numerator by the GCF, and...
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What's a Quotient?
A straightforward definition of a quotient, this video targets a slightly more advanced audience by using rational expressions to demonstrate a quotient. Make sure your class knows that a quotient is the answer they get when they divide...
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What Are Numerical and Algebraic Expressions?
Numerical expressions contain numbers and mathematical operations. In addition to numerical expressions, algebraic expressions contain not only numbers but also variable(s). Watch this video as the instructor illustrates several examples...
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How Do You Write Inequalities in Set Builder Notation?
Set builder notation? What's that? Don't know? Need a refresher? Kind of remember? Well, watch this video and learn all about writing set builder notation. The instructor explains braces, variables, and inequalities to be able to write a...
Curated OER
What's a Quotient?
A straightforward definition of a quotient, this video targets a slightly more advanced audience by using rational expressions to demonstrate a quotient. Make sure your class knows that a quotient is the answer they get when they divide...
Curated OER
What is the Associative Property?
A straightforward definition of the associative property of addition and multiplication, this resource could be used to help learners tackle the concept. You might consider giving the link to struggling class members so they can use it...
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How Do You Solve a Word Problem By Writing an Inequality?
An inequality in a word problem? And there's a fraction too?! As if word problems weren't hard enough! You can do this, just follow along as the instructor explains each step in solving this word problem.
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How Do You Write the Equation of a Line in Slope-Intercept Form from a Word Problem?
There will be two variables in this equation since a straight line means a linear equation. Writing the equation in slope-intercept form means there is an x-value and a y-value. So let's watch this video and see what it takes to use the...
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How Do You Solve a Word Problem by Multiplying Binomials?
Find the area of several rectangles that have been given monomial values. When the rectangles are put together, the sides are added together to form a binominal value. Now use the formula for area to multiply the two binomials. Use the...
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How Do You Convert a Mixed Expression To a Rational Expression?
Given a monomial and a polynomial, rewrite the expression as a rational number. This is not as confusing as you might think. First is to make the monomial a rational number by giving it a denominator. Once that is done, numbers can be...
Curated OER
How Do You Turn a Simple Expression into Words?
Being able to translate words into a mathematical expression is an important skill, but being able to go the other way is just as crucial. Watch as the teacher takes a simple algebraic expression and demonstrates how to translate that...
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How Do You Turn a More Complicated Expression into Words?
Given an algebraic expression, write a word problem. Usually it's the other way around where you have a word problem and need to write an algebraic expression. But, this is a good skill to have because it would mean that one has a good...
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What is the Distributive Property?
An informative video on the distributive property, this resource could be used to help promote understanding of the concept. The instructor defines the distributive property and demonstrates how it works with variables. Show this video...
Curated OER
What is the Distributive Property?
An informative video on the distributive property, this resource could be used to help promote understanding of the concept. The instructor defines the distributive property and demonstrates how it works with variables. Show this video...
Curated OER
Why is it Called a Rational Expression?
If your algebraic expression is a ratio of two polynomials then you have a rational expression. Find out what that might look like.