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Algebraic Expressions

Algebraic Expressions

At a Glance - In the Real World

I Like Practical Stuff; Why Should I Care?

Hey, we like practical stuff, too! The great thing is that all of these formulas can be applied to real-world situations. That's good news if you live in the real world.

One thing the geometrical formulas are useful for is figuring out what amounts of materials are needed for projects such as carpeting floors.

Sample Problem

How much carpet is needed to cover the floor shown in the picture below?

The area of the floor is the area of the rectangle plus the area of the square:

Arectangle = 10(20) = 200 ft2

Asquare = 52 = 25 ft2

Atotal = 200 + 25 = 225 ft2

By the way, we think that 5 × 5 area on the right would make a splendid breakfast nook. Just something to consider.

The unit conversion formulas are useful when traveling or reading information from countries that use different, or "silly," units.

The simplification of algebraic expressions will be insanely useful for later material. It's a simplify-now-understand-why-later sort of deal. Getting rid of parentheses and combining like terms often makes formulas easier to work with, especially formulas that we'll use a lot.

Example 1

The perimeter P of a rectangle with length l and width w is given by P = l + l + w + w. How can this formula be better expressed?

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