By James Stewart, Lothar Redlin, Saleem Watson
Learn how to imagine mathematically and enhance actual problem-solving abilities with Stewart, Redlin, and Watson's collage ALGEBRA, 5th version. this easy and easy-to-use algebra booklet may help you examine the basics of algebra in various useful methods. The e-book positive aspects new instruments that can assist you be triumphant, comparable to studying ambitions earlier than every one part to arrange you for what you are approximately to profit, and an inventory of formulation and key thoughts after every one part that support strengthen what you might have realized. moreover, the ebook comprises many real-world examples that exhibit you ways arithmetic is used to version in fields like engineering, company, physics, chemistry, and biology
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Extra resources for College Algebra
B d b c a b aϩb ϩ ϭ 3. c c c a c ad ϩ bc ϩ ϭ 4. b d bd Example 2#5 2#5 10 ϭ # ϭ 3 7 3 7 21 2 5 2#7 14 Ϭ ϭ ϭ 3 7 3 5 15 2 7 2ϩ7 9 ϩ ϭ ϭ 5 5 5 5 2 3 2#7ϩ3#5 29 ϩ ϭ ϭ 5 7 35 35 Description ac a ϭ bc b a c 6. If ϭ , then ad ϭ bc b d 2#5 3#5 2 ϭ 3 Cancel numbers that are common factors in the numerator and denominator. 5. ϭ 2 3 6 , so 2 # 9 ϭ 3 # 6 9 When multiplying fractions, multiply numerators and denominators. When dividing fractions, invert the divisor and multiply. When adding fractions with the same denominator, add the numerators.
3. Is there a difference between 25 and 1 152 ? Explain. 2 4. Explain what 4 ways: 14 2 3/2 2 3/2 means, then calculate 4 ϭ 1/2 or 14 2 3 in two different ϭ 5. Explain how we rationalize a denominator, then complete the 1 following steps to rationalize : 13 1 # ∞ 1 † ϭ ϭ ∞ 13 13 † 6. Find the missing power in the following calculation: 51/3 # 5 ϭ 5. 7–14 ■ Write each radical expression using exponents, and each exponential expression using radicals. Radical expression 8. 9. Exponential expression 1 15 3 5 3 2 5 11.
Notation 1a, b2 5x Ȋ a Ͻ x Ͻ b6 3a, b2 3a, b4 1a, b4 1a, q2 3a, q2 1Ϫq, b2 1Ϫq, b4 1Ϫq, q2 Ǡ Set description E X AM P L E 3 | Graph 5x Ȋ a Յ x Յ b6 a b 5x Ȋ a Յ x Ͻ b6 a b 5x Ȋ a Ͻ x Յ b6 a b 5x Ȋ a Ͻ x6 a b 5x Ȋ a Յ x6 a 5x Ȋ x Ͻ b} a b 5x Ȋ x Յ b6 b ( ޒset of all real numbers) Graphing Intervals Express each interval in terms of inequalities, and then graph the interval. 5 Յ x Յ 46 (c) 1Ϫ3, q 2 ϭ 5x 0 Ϫ3 Ͻ x6 ✎ 0 0 _3 Practice what you’ve learned: Do Exercise 33. 5 4 0 ▲ 16 CHAPTER P | Prerequisites Ǡ E X AM P L E 4 | Finding Unions and Intersections of Intervals Graph each set.
College Algebra by James Stewart, Lothar Redlin, Saleem Watson