**Note:** Homework Hints are given only for the Level 1 and Level 2 problems.

**Note:**Homework Hints are given only for the Level 1 and Level 2 problems.**However, as you go through the book be sure you look at all the examples in the text. If you need hints for the Level 3 problems, check some sources for help on the internet (see the LINKS for that particular section. As a last resort, you can call the author at (707) 829-0606.**

**On the other hand, the problems designated “Problem Solving” generally require techniques that do not have textbook examples.**

**There are many sources for homework help on the internet.**

**Algebra.help**

Here is a site where technology meets mathematics. You can search a particular topic or choose lessons, calculators, worksheets for extra practice or other resources.

http://www.algebrahelp.com/

**Ask Dr. Math**

Dr. Math is a registered trademark. This is an excellent site at which you can search to see if your question has been previously asked, or you can send your question directly to Dr. Math to receive an answer.

http://mathforum.org/dr.math/

**Problems 1-2**

There are many problems throughout the text labeled IN YOUR OWN WORDS. Just relax; do not be afraid to give your opinion. For the most part, these questions do not have “right” or “wrong” answers. You should spend about five minutes in answering each of these questions.There are many problems throughout the text labeled IN YOUR OWN WORDS. Just relax; do not be afraid to give your opinion. For the most part, these questions do not have “right” or “wrong” answers. You should spend about five minutes in answering each of these questions.

**Problems 3-8**

See Figure 8.8 and definition of area; count the number of square centimeters inside each figure. Some of these problems may require some estimation.See Figure 8.8 and definition of area; count the number of square centimeters inside each figure. Some of these problems may require some estimation.

**Problems 9-18**

These problems are designed to help you estimate areas. Don’t be afraid to guess, check, and then revise, if necessary.These problems are designed to help you estimate areas. Don’t be afraid to guess, check, and then revise, if necessary.

**Problems 19-23**

The area of a rectangle is found by finding the product of the length and the width. See Examples 1 and 2.The area of a rectangle is found by finding the product of the length and the width. See Examples 1 and 2.

**Problems 24-25**

The area of a parallelogram is calculated by finding the product of the length and the height. See Example 3.The area of a parallelogram is calculated by finding the product of the length and the height. See Example 3.

**Problems 26-28**

The area of a triangle is found by multiplying one-half times the base times the height. See Example 4.The area of a triangle is found by multiplying one-half times the base times the height. See Example 4.

**Problems 29-32**

The area of a trapezoid is the product of the height and the average of the lengths of the bases. See Example 5.The area of a trapezoid is the product of the height and the average of the lengths of the bases. See Example 5.

**Problems 33-35**

The area of a circle is found by finding the product pi times the square of the radius. Note that if the diameter is given as in Problems 33-35, first find the radius (which is half of the diameter). See Example 6.The area of a circle is found by finding the product pi times the square of the radius. Note that if the diameter is given as in Problems 33-35, first find the radius (which is half of the diameter). See Example 6.

**Problems 36-38**

First find the area of the circle (See Example 6), and then divide to determine the area of the shaded portion.First find the area of the circle (See Example 6), and then divide to determine the area of the shaded portion.

**Problems 39-40**

In Problem 39, the area is the area of a rectangle plus the area of half a circle.

In Problem 40, the area is the area of a rectangle minus the area of half a circle.In Problem 39, the area is the area of a rectangle plus the area of half a circle.

In Problem 40, the area is the area of a rectangle minus the area of half a circle.

**Problems 41-42**

Calculate the cost per square foot for each lot and compare those prices to answer the question asked.Calculate the cost per square foot for each lot and compare those prices to answer the question asked.

**Problems 43-48**

Choose the appropriate formula, substitute the given values, and find the requested value. See Examples 7 and 8.Choose the appropriate formula, substitute the given values, and find the requested value. See Examples 7 and 8.

**Problem 49**

First find the area of the lawn, then find the number of times that number is divisible by 150 to enable you to calculate the cost. Assume that you cannot purchase part of a pound of lawn seed. See Example 7.First find the area of the lawn, then find the number of times that number is divisible by 150 to enable you to calculate the cost. Assume that you cannot purchase part of a pound of lawn seed. See Example 7.

**Problem 50**

Since pizza’s are circles, use Example 6 to calculate the area of each pizza.Since pizza’s are circles, use Example 6 to calculate the area of each pizza.