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**Extra resources for Algebra I (Cliffs Quick Review)**

**Sample text**

2,4} 2. {3, 4, 5, 6, 7} 3. False 4. 3n + 6 5. 96 6. F 4/27/01 9:37 AM Page 40 Chapter 4 EQUATIONS, RATIOS, AND PROPORTIONS Chapter Check-In ❑ Axioms of equality ❑ Solving equations ❑ Solving proportions for value with variables and solving equations are often considered the basis of algebra. Working Equations An equation is a mathematical sentence, a relationship between numbers and/or symbols. Axioms of equality For all real numbers a, b, and c, the following are some basic rules for using the equal sign.

F 4/27/01 9:38 AM Page 47 Chapter 4: Equations, Ratios, and Proportions 47 Example 12: Solve this proportion for t. s is to t as r is to q Rewrite. s r t =q Cross multiply. sq = rt Divide both sides by r. sq rt r = r sq r =t Solving proportions for value Follow the procedures given in Examples 11 and 12 to solve for the unknown. Example 13: Solve for x. 4=2 x 5 Cross multiply. (4)(5) = 2x 20 = 2x Divide both sides by 2. F 48 4/27/01 9:38 AM Page 48 CliffsQuickReview Algebra I Chapter Checkout Q&A 1.

F 4/27/01 9:37 AM Page 37 Chapter 3: Terminology, Sets, and Expressions 37 Comparing sets Equal sets are those that have the exact same members—{1, 2, 3} = {3, 2, 1}. Equivalent sets are sets that have the same number of members— {1, 2, 3} + {a, b, c}. Operations with sets The union of two or more sets is a set containing all of the members in those sets. Example 1: Find the union. {1, 2, 3} , {3, 4, 5} = {1, 2, 3, 4, 5} The union of sets with members 1, 2, 3 and 3, 4, 5 is the set with members 1, 2, 3, 4, 5.