Algebra I: 1001 Practice Problems For Dummies (+ Free Online Practice). Mary Jane Sterling

Find the sum of the signed numbers.

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Subtracting Signed Numbers

      21–30 Find the difference between the signed numbers.

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Multiplying and Dividing Signed Numbers

      31–50 Find the products and quotients involving signed numbers.

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Chapter 2

      Recognizing Algebraic Properties and Notation

      The properties used in mathematics were established hundreds of years ago. Mathematicians around the world wanted to be able to communicate with one another; more specifically, they wanted to get the same answers when working on the same questions. To help with that, they developed and adopted rules such as the commutative property of addition and multiplication, the associative property of addition and multiplication, and the distributive property.

The Problems You’ll Work On

      To strengthen your skills with algebraic properties and notation, you’ll practice doing the following in this chapter:

       Using the distributive property of multiplication over addition and subtraction

       Paying attention to the order of operations

       Simplifying radicals and radical expressions

       Reassociating terms for easier computation

       Regrouping and commuting for ease and accuracy

What to Watch Out For

      Here are a few things to keep in mind while you work in this chapter:

       Distributing a negative number over several terms and being sure to apply the negative sign to each term

       Recognizing the fraction line as a grouping symbol

       Performing the absolute value operation when it’s used as a grouping symbol

       Applying the correct exponent when multiplying or dividing variables

Applying Traditional Grouping Symbols

      51–58 Simplify the expressions.

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