By Mary Jane Sterling

From signed numbers to tale difficulties — calculate equations with easePractice is the most important to bettering your algebra talents, and that is what this workbook is all approximately. This hands-on consultant makes a speciality of supporting you clear up the numerous forms of algebra difficulties you will come upon in a targeted, step by step demeanour. With barely enough refresher factors sooner than every one set of difficulties, this workbook indicates you ways to paintings with fractions, exponents, factoring, linear and quadratic equations, inequalities, graphs, and more!100s of problems!Hundreds of perform workouts and worthy explanationsExplanations reflect educating tools and school room protocolsFocused, modular content material offered in step by step lessonsPractice on 1000s of Algebra I problemsReview key innovations and formulasGet whole solution reasons for all difficulties

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**Example text**

Solve for x: Solve It 11. Solve for x: Solve It 13. A recipe calls for 2 teaspoons of cinnamon and 4 cups of flour. You need to increase the flour to 6 cups. To keep the ingredients proportional, how many teaspoons of cinnamon should you use? Solve It 10. Solve for x: Solve It 12. Solve for x: Solve It 14. A factory produces two faulty iPods for every 500 iPods it produces. How many faulty iPods would you expect to find in a shipment of 1,250? Solve It 31 32 Part I: Getting Down to the Nitty-Gritty on Basic Operations Finding Common Denominators Before you can add or subtract fractions, you need to find a common denominator for them.

A. 120. You can either multiply the way the problem is written, 4(5 × 6) = 4(30) = 120, or you can reassociate and multiply the first two factors first: (4 × 5) 6 = (20)6 = 120. Chapter 2: Incorporating Algebraic Properties 13. 14. 16 + (–16 + 47) = Solve It (5 – 13) + 13 = Solve It 15. 16. Solve It Solve It Computing by Commuting The commutative property of addition and multiplication says that the order that you add or multiply numbers doesn’t matter. Be careful, though, because the order of subtraction and division does matter.

The largest common factor of 12 and 18 is 6. The least common denominator is 36 . Here are the details: and . Chapter 3: Making Fractions and Decimals Behave q Rewrite the fractions and with a common denominator. The answers are and . The largest common factor of x and 6 is 1. The least common denominator is their and . product: 6x. Break it down: r Rewrite the fractions and and with a common denominator. The answers are . The largest common factor of x and x + 6 is 1. Their least common denominator is their product: x(x + 6).