# Evaluate Squares

**? Start with visualizing a square □ . We know that the length and width of a square are the same length and we know that the area of a square is side times side. We can write this as**

*squared**s*. So any time you see a number or a variable with an exponent of 2 it means you are multiplying a number times itself.

^{2}^{2}=x •x •x

Let's practice with numbers.

Example 1: 5

^{2}= 5 •5 = 25

Example 2: 12

^{2}= 12 •12 = 144

Let's practice evaluating with variables.

Example 3: if x = 6 find x

^{2}.

Substitute (6) in for x.

^{2}= (6)

^{2}

Expand

^{2}= 6 •6 = 36

Therefore

^{2}= 36

Let's look at a

*common mistake*.

Remember that x

^{2}= x •x so what does -x

^{2}mean? It means (-1) •x •x

Example 4: find when x = 7

Substitute (7) in for x.

^{2}= (7)

^{2}

^{2}= 7 •7 = 49

^{2}= 49

Challenge: find 2x

^{2}when x = 9

Substitute (9) in for x.

^{2}= 2(9)

^{2}

^{2}= 2 •9 •9 = 162

^{2}= 162

Let's wrap this up. Remember that to be "squared" means to multiply a number times itself.

Related Links:Math algebra Evaluate Exponents |

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