In the first part of the video, I compare an expression to an equation, and then I describe the meaning of some important vocabulary. Next I show how to simplify two expressions. In the second part of the video, I show how to simplify three more expressions, from a worksheet of twelve.
It may help to print “Sheets Used in Video“ to have them for writing notes as you watch the video. The worksheet has three columns, each with a similar variety of problems. I suggest completing one column and learning from mistakes before attempting the next column.
Combining Like Terms (Sheet In Video)
Partial Answer Key for Video
In this first video I describe what it means to “get x by itself.” I then present how to solve algebraic equations, based on using two questions, while going over eleven “one step” equations. For the sake of illustration, a few of the equations are all variables, no numbers.
My intention is for viewers to watch both videos in succession; the “3 Pages for 2 Videos” link opens the two pages that are used in the first video, as well as the third page which is used in the second video.
Algebraic Equation Rules (Rule Sheet In Video)
3 Pages 2 Videos
Answer Key
Assuming familiarity with concepts covered in the first video, I present how to solve algebraic equations that are “more than one step.” I solve five more equations. The last two equations start with the variable on both sides of the equal sign.
These Practice Worksheets assume familiarity with concepts covered in both of these Introduction to Solving Algebraic Equations videos.
Intro To Solving Algebraic Equations 1A (Practice)
Answer Key
Intro To Solving Algebraic Equations 1B (Practice)
Answer Key
Building on concepts from the previous two videos, I solve five algebraic equations. They involve simplifying one or both sides of the equation prior to “getting rid of” terms on either side.
The practice worksheet has three columns of four problems each. I recommend NOT doing all twelve problems in one sitting; take a break of minutes or hours between columns, and strive to complete a column correctly–without looking at notes or examples. This helps to move knowledge from short term to long-term memory.
Solving Algebraic Equations Rules (Rules Sheet In Video) Solving Algebraic Equations (Sheet In Video)
Answer Key
Solving Algebraic Equations (Practice)
Answer Key
I solve ten equations that contain fractions. I term this “deal with fractions” because I do not “clear of fractions.” (That is the next video.) You should already be familiar with how to add, subtract, multiply, and divide with fractions, as well as how to solve equations that do not have fractions.
The two worksheets, “Sheet A” and “Sheet B” each have two columns of four problems. Each column is intended to give an even variety of problems from the video. As usual, I recommend learning from mistakes and taking breaks between working the columns.
Solving Algebraic Equations Containing Fractions (Sheet in Video)
Answer Key
Solving Algebraic Equations Containing Fractions 1A (Practice)
Answer Key
Solving Algebraic Equations Containing Fractions 1B (Practice) Answer Key
I solve ten equations by first clearing them of fractions. (You should already be familiar with how to add, subtract, multiply, and divide with fractions, as well as how to solve equations that do not have fractions.) To reinforce that you can either “deal with fractions,” or “clear of fractions,” I solve the same ten problems as I did in the “Deal with Fractions” video.
The two worksheets, “Sheet A” and “Sheet B” each have three columns of three problems. Each column is intended to give a good variety of problems from the video. As usual, I recommend learning from mistakes and taking breaks between working the columns.
You need to learn both methods (deal with fractions, and clear of fractions) so that you can decide which is best to use in any given situation. Also, at some point you will encounter equations that are more complicated than the ones covered in this video, and you will need to clear them of fractions.
Solving Algebraic Equations Containing Fractions – Clear of Fractions (Sheet in Video)
Answer Key
Solving Algebraic Equations Containing Fractions – Clear of Fractions (Practice A)
Answer Key
Solving Algebraic Equations Containing Fractions – Clear of Fractions (Practice B)
Answer Key
I solve twelve equations, the last two of which involve clearing of decimals prior to solving. It may be helpful to frequently pause the video, especially right before I start a new problem, to try to anticipate the first step. (You should already be familiar with how to add, subtract, multiply, and divide with decimals, as well as how to solve equations that do not have decimals.)
It may be helpful to stop the video after watching #1 through #6 to print the worksheet Practice for Video Problems #1 Through #6. If you solve those problems and take a break before watching #7 through #12, you may be better able to retain the information in the second half of the video. If you can take in #1 through #12 all in one sitting, that is fine, but it may be a bit much.
As usual, the worksheets have three coulmns, each with a similar variety of problems. Learn from mistakes in one column before attempting the next coulmn.
Solving Algebraic Equations Containing Decimals – Deal With and Clear Decimals (Sheet in Video)
Answer Key
Solving Algebraic Equations Containing Decimals – Problems in Video 1 Though 6 (Practice A)
Answer Key
Solving Algebraic Equations Containing Decimals (Practice B) Answer Key