# Algebraic Expressions

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.

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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

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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

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