By Jerry Bobrow (author), Ed Kohn (revisor)
Contained in the Book:Preliminaries and uncomplicated OperationsSigned Numbers, Frac-tions, and PercentsTerminology, units, and ExpressionsEquations, Ratios, and ProportionsEquations with Vari-ablesMonomials, Polynomials, and FactoringAlgebraic FractionsInequalities, Graphing, and Absolute ValueCoordinate GeometryFunctions and VariationsRoots and RadicalsQuadratic EquationsWord ProblemsReview QuestionsResource CenterGlossaryWhy CliffsNotes?Go with the identify you recognize and trust...Get the data you need—fast!CliffsNotes fast evaluate publications offer you a transparent, concise, easy-to-use evaluation of the fundamentals. Introducing every one subject, defining keyword phrases, and thoroughly jogging you thru pattern difficulties, this advisor is helping you take hold of and comprehend the real strategies had to succeed.Master the Basics–FastComplete assurance of middle conceptsEasy topic-by-topic organizationAccess hundreds of thousands of perform difficulties at CliffsNotes.com
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Additional resources for Algebra I: Quick Review, 2nd Edition (Cliffs Notes)
12 + 9 = 2. (–2)(–3)(6) = 3. 4. 5. 6. Change to decimal: 7. Change to fraction: 8. 15 is what percent of 60? 9. (3 × 104)(2 × 108) = Answers: 1. –3 2. 36 3. 0 4. 9. 6 × 1012 5. 6. 125 7. 8. 25% CHAPTER 3 TERMINOLOGY, SETS, AND EXPRESSIONS Cha pt e r Che ck- I n ❑ Set theory ❑ Algebraic expressions ❑ Evaluating expressions nderstanding the language of algebra and how to work with algebraic expressions gives you a good foundation for learning the rules of algebra. U Set Theory A set is a group of objects, numbers, and so forth.
Example 5: Subtract the following. (a) +12 – (+4) = +12 + (–4) = 8 (b) +16 – (–6) = +16 + (+6) = 22 (c) –20 – (+3) = –20 + (–3) = –23 (d) –5 – (–2) = –5 + (+2) = –3 Minus preceding parenthesis If a minus precedes a parenthesis, it means everything within the parentheses is to be subtracted. Therefore, using the same rule as in subtraction of signed numbers, simply change every sign within the parentheses to its opposite and then add. Example 6: Subtract the following. (a) 9 –(+3 – 5 + 7 – 6) = 9 + (– 3 + 5 – 7 + 6) = 9 + (+1) = 10 (b) 20 – (+35 – 50 + 100) = 20 + (–35 + 50 – 100) = 20 + (–85) = –65 Multiplying and dividing signed numbers To multiply or divide signed numbers, treat them just like regular numbers but remember this rule: An odd number of negative signs will produce a negative answer.
Example 6: Solve for x. 6x + 3 = 4x + 5 Subtract 4x from each side of the equation. Subtract 3 from each side of the equation. Chapter 4: Equations, Ratios, and Proportions 51 Divide each side of the equation by 2. Literal equations Literal equations have no numbers, only symbols (letters). Example 7: Solve for q. qp – x = y First add x to each side of the equation. Then divide each side of the equation by p. Operations opposite to those in the original equation were used to isolate q. (To remove the –x, an x was added to each side of the equation.