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Where to Go for Additional Help
The written directions given with the individual problems are designed to tell you what you need to do to get the correct answer. Sometimes the directions may seem vague if you aren’t familiar with the words or the context of the words. Go ahead and look at the solution to see if that helps you with the meaning. But if the vocabulary is still unrecognizable, you may want to refer to the glossary in an algebra book, such as Algebra I For Dummies, written by yours truly and published by the fine folks at Wiley.
The solution to each problem is given at the end of its respective chapter. But you may not be able to follow from one step to the next. Is something missing? This book is designed to provide you with enough practice to become very efficient in algebra, but it isn’t intended to give the step-by-step explanation on how and why each step is necessary. You may need to refer to Algebra I For Dummies or Algebra I Essentials For Dummies (also written by me and published by Wiley) to get more background on a problem or to understand why a particular step is taken in the solution of the problem.
Part 1
The Questions
IN THIS PART …
Performing basic operations (Chapters 1 through 6)
Changing the format of algebraic expressions (Chapters 7 through 12)
Solving equations (Chapters 13 through 17)
Applying algebra by using formulas and solving word problems (Chapters 18 through 20)
Graphing (Chapters 21 through 23)
Chapter 1
Signing on with Signed Numbers
Signed numbers include all real numbers, positive or negative, except 0. In other words, signed numbers are all numbers that have a positive or negative sign. You usually don’t put a plus sign in front of a positive number, though, unless you’re doing math problems. When you see the number 7, you just assume that it’s +7. The number 0 is the only number that isn’t either positive or negative and doesn’t have a plus or minus sign in front of it; it’s the dividing place between positive and negative numbers.
The Problems You’ll Work On
As you work with signed numbers (and positive and negative values), here are the types of problems you’ll do in this chapter:
Placing numbers in their correct position on the number line — starting from smallest to largest as you move from left to right
Performing the absolute value operation — determining the distance from the number to 0
Adding signed numbers — finding the sum when the signs are the same and finding the difference when the signs are different
Subtracting signed numbers — changing the second number to its opposite and then using the rules for addition
Multiplying and dividing signed numbers — counting the number of negative signs and assigning a positive sign to the answer when an even number of negatives exist and a negative sign to the answer when an odd number of negatives exist
What to Watch Out For
Pay careful attention to the following items when working on the signed number problems in this chapter:
Keeping track of the order of numbers when dealing with negative numbers and fractions
Working from left to right when adding and subtracting more than two terms
Determining the sign when multiplying and dividing signed numbers, being careful not to include numbers without signs when counting how many negatives are present
Reducing fractions correctly and dividing only by common factors
Placing Real Numbers on the Number Line
1–6 Determine the correct order of the numbers on the real number line.
1. Determine the order of the numbers:
2. Determine the order of the numbers:
3. Determine the order of the numbers:
4. Determine the order of the numbers:
5. Determine the order of the numbers:
6. Determine the order of the numbers:
Using the Absolute Value Operation
7–10 Evaluate each expression involving absolute value.
7.
8.
9.
10.
Adding Signed Numbers
11–20