Algebraic expressions

We’re going to talk about algebraic expressions before we start going over some examples and talk about some of our terms here.

So first what is an algebraic expression. Now you should remember what a numerical expression is. Because we’ve talked about that before.

 

Question 1 of 2

1. Simplify this algebraic expression:
5(a + 7) + 2(a + 4)

A.
B.
C.
D.

Question 1 of 2

Question 2 of 2

2. Simplify:  3(b + 4) + 5(b + 2)

A.
B.
C.
D.

Question 2 of 2


 

Next Lesson: Polynomials
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The transcript of the video.

A numeric expression includes numbers and operations. That’s basically it. No equal sign.

Remember the expressions have no equal sign. That’s equations.

An algebraic expression is different than a numerical expression because it includes variables

An algebraic expression is an expression that contains numbers, operations, and one or more variables.

So here we’ve got a variable. We’ve got an operation, and we got numbers,
You don’t see the operation but when 3x or xy are next to each other that means multiplication.

So there is an operation. So those are all examples of algebraic expressions.

But if you’ve got something like that’s not an algebraic expression because there is no variable but that would be just a numerical expression.
Same thing if you’ve got 3 x + 4 =10

That also is not an algebraic expression even though it has variable operations. It has an equal sign which means this is actually an equation not an expression at all.

So make sure you understand what an algebraic expression is and what it includes.

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