Algebraic Expressions

This lesson is part of Gedeno’ free online classes for the GED test. Our free practice tests and video lessons help you get going on your GED prep track. This way, you can easily learn if online study might be right for you, but our free help does not include all GED topics.

If you like this learning approach, we recommend you set up an account at Onsego GED Prep, an accredited course that covers all subjects of the GED exam and that will prepare you for the GED test fast.

Online GED Classes

A simple and easy way of getting your GED diploma.

Learn fast, stay motivated, and pass your GED quickly.


First, we’ll talk about some algebraic expressions before we are going over a few examples and talk about a few of our algebraic terms here.

So first, what do we mean by an algebraic expression? Well, I guess you do remember what we mean by a numerical expression. We’ve been talking about that earlier.

1. Simplify this algebraic expression:
\(5(a + 7) + 2(a + 4)\)
A.
B.
C.
D.

Question 1 of 2

2. Simplify: \( 3(b + 4) + 5(b + 2)\)
A.
B.
C.
D.

Question 2 of 2


 

This lesson is provided by Onsego GED Prep.

Next Lesson: Equation and Solution of an equation
This lesson is a part of our GED Math Study Guide.

Video Transcription

Numeric expressions include numbers & operations. Basically, that’s it. They don’t have equal signs. Remember this: expressions don’t have equal signs. Those are equations. Algebraic Expressions differ from Numerical Expressions because they include variables.

Algebraic expressions are those expressions that contain numbers, operations, and one or more variables. So, in this case, we have a variable. We have an operation, and we have numbers. We can’t see our operation; however, if 3x or xy are placed next to each other, that is meaning multiplication.

So we have an operation. So these are all examples of our algebraic expressions.

But when we have something like that, it is not an algebraic expression as we have no variable. So that would be just one numerical expression.
The same thing, when we have: 3 x + 4 = 10

This is also not an algebraic expression, though it has some variable operations. There is an equal sign, and that means it is an equation and not an expression at all.

So make sure that you understand what algebraic expressions are.
Make also sure to understand what they include.

So again, when we talk about Algebraic Expression, we talk about expressions that contain numbers, operations, and 1 or more variables. This makes them different from numerical expressions.

In Numeric Expressions, there are no equal signs; they just include numbers and operations. So expressions don’t have equal signs. If there are equal signs, they are equations. Well, Algebraic Expressions differ from numerical expressions since they contain variables.

Again, Algebraic Expressions contain operations, numbers, and 1 or more variables. If you have a variable, an operation, and numbers, we deal with an Algebraic Expression.

 

Last Updated on February 15, 2024.