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Showing posts with label simplify. Show all posts
Showing posts with label simplify. Show all posts

## Friday, February 15, 2013

### Intermediate Algebra Exam #1

Click on the 10 question exam covering topics in chapters 1 and 2. Give yourself one hour to try all of the problems and then come back and check your answers.

Solve and graph the solution set. In addition, express the solution set using interval notation.

Sketch the graph and give the domain and range.

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## Saturday, February 9, 2013

### Elementary Algebra Exam #1

Click on the 10 question exam covering topics in chapters 1 and 2. Give yourself one hour to try all of the problems and then come back and check your answers.

Simplify:

Solve:

Solve and graph all solutions on a number line.

10. The perimeter of a rectangle is 54 feet.  If the length is 3 feet less than twice the width, find the dimensions of the rectangle. (Set up an algebraic equation and use it to solve this problem.)

## Monday, November 19, 2012

Now when working with square roots and variables we should be a bit careful.  The variable could represent a positive or negative number so we must ensure that it is positive by making use of the absolute value.
To avoid this technicality many textbooks state, at this point, that we assume all variables are positive. If not, use the absolute values as in the following problems.
Simplify. (Assume variables could be negative.)
To avoid many of the technicalities when working with nth roots we will assume, from this point on, that all the variables are positive.

Simplify. (Assume all variables represent positive numbers.)
Students often try to simplify the previous problem. Be sure to understand what makes the following problems all different.

The property:
says that we can simplify when the operation is multiplication.  There is no corresponding property for addition or subtraction.