**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/

**Quick Math**

This site provides online graphing calculators. This is especially useful if you do not have your own calculator.

http://www.quickmath.com/

**The Math Forum @ Drexel**

This site provides an internet mathematics library that can help if you need extra help. For additional homework help at this site, click one of the links in the right-hand column.

http://mathforum.org/

**Problems 1-6**

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 7-10**

Use Table 5.2 or prime factorizations to see if each is a prime.Use Table 5.2 or prime factorizations to see if each is a prime.

**Problems 11-14**

See Example 1.

See Example 1.

**Problem 11**can be done using your knowledge of the times tables.**Problem 12**; the slash means “is not divisible by”.**Problems 13 and 14**can be done with the help of a calculator.

**Problem 15**

Build a sieve of Eratosthenes.Build a sieve of Eratosthenes.

**Problem 16**

See Table 5.2.See Table 5.2.

**Problems 17-20**

See Example 5. Build a factor tree.See Example 5. Build a factor tree.

**Problems 21-28**

See Example 6. Use a factor tree, then arrange the factors from smallest base to largest, using exponents for repeated base factors.See Example 6. Use a factor tree, then arrange the factors from smallest base to largest, using exponents for repeated base factors.

**Problems 29-34**

See Example 7 (gcf) and Example 8 (lcm).See Example 7 (gcf) and Example 8 (lcm).

**Problems 35-38**

Part

Part

After doing partPart

**a.**See Example 7 (gcf.)Part

**b.**See Example 8 (lcm).After doing part

**c**., formulate a conclusion for part**d.**

**Problems 39-42**

Find the gcf of the given numbers.Find the gcf of the given numbers.

**Problems 43-44**

Find the lcm of the given numbers.Find the lcm of the given numbers.

**Problems 45-47**

Build a sieve of Eratosthenes read the problems carefully to answer the questions.Build a sieve of Eratosthenes read the problems carefully to answer the questions.