Intermediate Algebra (6th Edition)

Intermediate Algebra (6th Edition)

Language: English

Pages: 792

ISBN: 0321785045

Format: PDF / Kindle (mobi) / ePub


Elayn Martin-Gay's developmental math textbooks and video resources are motivated by her firm belief that every student can succeed. Martin-Gay's focus on the student shapes her clear, accessible writing, inspires her constant pedagogical innovations, and contributes to the popularity and effectiveness of her video resources (available separately). This revision of Martin-Gay's algebra series continues her focus on students and what they need to be successful.

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3(2x+y) = 3 # 2x + 3 # y Apply the distributive property. = 6x + 3y Apply the associative property of multiplication. b. Recall that -13x - 12 means -113x - 12. –1(3x-1) = -113x2 + 1 -121 -12 = -3x + 1 c. 0.7a(b-2) = 0.7a # b - 0.7a # 2 = 0.7ab - 1.4a PRACTICE 11 Answer to Concept Check: no; 612a213b2 = 12a13b2 = 36ab Use the distributive property to multiply. a. 41x + 5y2 b. -13 - 2z2 CONCEPT CHECK Is the statement below true? Why or why not? 612a213b2 = 612a2 # 613b2 c. 0.3x1y - 32

cigarettes smoked is zero. To do this, let y = 0 and solve for x. 78. Predict the average annual number of cigarettes smoked by an American adult in 2015. To do so, let x = 15 (since 2015 - 2000 = 15) and find y. 79. Predict the average annual number of cigarettes smoked by an American adult in 2020. To do so, let x = 20 (since 2020 - 2000 = 20) and find y. 80. Use the result of Exercise 78 to predict the average daily number of cigarettes smoked by an American adult in 2015. Round to the nearest

set is the union. 6 If A = 5 x ͉ x is an odd number greater than 0 and less than 10 6 and B = 5 2, 3, 4, 5, 6 6 , find A ʜ B. PRACTICE OBJECTIVE 4 Solving Compound Inequalities Containing “or” A value is a solution of a compound inequality formed by the word or if it is a solution of either inequality. For example, the solution set of the compound inequality x … 1 or x Ú 3 contains all numbers that make the inequality x … 1 a true statement or the inequality x Ú 3 a true statement. 5 x͉ x …

in interval notation. See Examples 7 and 8. 39. - 2x … - 4 or 5x - 20 Ú 5 40. - 5x … 10 or 3x - 5 Ú 1 41. x + 4 6 0 or 6x 7 -12 42. x + 9 6 0 or 4x 7 -12 17. x 6 - 1 and x 6 1 43. 31x - 12 6 12 or x + 7 7 10 18. x Ú - 4 and x 7 1 44. 51x - 12 Ú -5 or 5 + x … 11 Solve each compound inequality. Write solutions in interval notation. See Examples 2 and 3. MIXED PRACTICE 19. x + 1 Ú 7 and 3x - 1 Ú 5 Solve each compound inequality. Write solutions in interval notation. See Examples 1 through 8.

in the plane corresponds to exactly one ordered pair. Thus, we may refer to the ordered pair (x, y) as the point (x, y). E X A M P L E 1 Plot each ordered pair on a Cartesian coordinate system and name the quadrant or axis in which the point is located. a. 12, -12 b. 10, 52 c. 1 -3, 52 d. 1 -2, 02 1 e. a - , -4b 2 Solution The six points are graphed as shown. 12, -12 lies in quadrant IV. 10, 52 is on the y-axis. 1 -3, 52 lies in quadrant II. 1 -2, 02 is on the x-axis. 1 e. a - , -4b is in

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