Chapter 1 Study Guide

HELLLLOOOOOOOOOO friends.

So... what's going to be on your Chapter 1 assessment? I've included a run-down below, categorized by section. Don't forget to use the Glencoe website for self-check quizzes, tutor videos, extra examples, and lots of great studying resources. If it's not already saved in your favorites, here's the link:
http://www.glencoe.com/sec/math/msmath/mac04/course1/self_check_quiz/index.php/

*Please note that these are the main concepts that will be included on your test, but your test will also include word problems which will require you to make a plan, use the concepts and solve. Just remember, when solving a word problem, to find out what you know - what you NEED to know - and to think about how you can use what you already know to solve your problem.*

1-3: Prime Factors
- Remember, to "find the prime factorization" of a number, make a factor tree. Your prime factors at the bottom are the answer.
- Always check your answer by multiplying the factors at the bottom of your tree to make sure you get the number at the top.

Example: Find the prime factorization of 42:

                         42
                     6   x   7
                  2x3    x     7 ---> Answer. Check: Does 2 x 3 x 7 = 42? Yes. The answer is correct. 

1-4: Powers and Exponents
Here are two previous blog posts that review powers and exponents. Be sure to check out the post that includes how to incorporate exponents into prime factorization.
http://tlsmath6.blogspot.com/2012/09/exponents.html
http://tlsmath6.blogspot.com/2012/09/expressing-prime-factorization-with.html

1-5: Everyone's favorite, ORDER OF OPERATIONS!!!!!!! AHHHHHH!!!!!!!!!
Two things I need you to remember about PEMDAS:
1. Multiplication and Division are on the same level and go LEFT to RIGHT
2. Please, please, PLEASE show your work line-by-line. Once you complete an operation, bring EVERYTHING ELSE DOWN exactly as it appears on the next line. This will help you keep track of what you've already done and will keep you from doing things out-of-order.

1-6 and 1-7: Algebra
These were the sections where we had to plug in a value for the variables and then solve the expressions. Then, we used mental math to solve equations.
Examples:

1. If a = 2 and b = 3, evaluate:
2a + 3b.
--- Remember, a number right next to a variable means multiply. Now, plug in the values:
2 x 2 + 3 x 3
---Now, be sure to use order of operations when you solve (multiply first, then add):
4 + 9
= 13

2. Solve the equation mentally: p + 2 = 9.
---Ask yourself, "What plus two would give me nine?"
---We can conclude that p = 7 because 7 + 2 would give us 9.

1-8: Area of Rectangles
Formula is length x width. Don't forget to include units squared!