New PDF release: Algebra

By Laurie Boswell, Timothy D. Kanold, Lee Stiff, Holt Mcdougal

ISBN-10: 0618250182

ISBN-13: 9780618250189

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Example text

Then do multiplications and divisions from left to right. Finally, do additions and subtractions from left to right. Evaluating Without Grouping Symbols EXAMPLE 1 Evaluate the expression when x = 4. b. 32 ÷ x 2 º 1 a. 3x 2 + 1 SOLUTION a. 3x2 + 1 = 3 • 42 + 1 FE ᭢ To solve real-life problems, such as calculating the cost of admission for a family to a state fair in Exs. 50 and 51. AL LI USING THE ORDER OF OPERATIONS Substitute 4 for x. = 3 • 16 + 1 Evaluate power. = 48 + 1 Evaluate product. = 49 Evaluate sum.

11x ≤ x º 7; 9 44. 6 + y ≤ 8; 3 45. 29 º 4b > 5; 7 46. t 2 + 6 > 40; 6 47. a º 7 ≥ 15; 22 48. 6x º 16 < 20; 7 49. y3 º 2 ≤ 8; 2 50. r + 2r < 30; 9 51. a(3a + 2) > 50; 4 c+5 52. ᎏᎏ ≤ 4; 3 3 25 º d 53. ᎏᎏ ≥ 4; 5 d 54. x2 º 10 > 16; 6 55. n(21 º n) < 100; 8 EQUATIONS AND INEQUALITIES Match the verbal sentence with its mathematical representation. 56. The sum of x and 16 is less than 32. x A. ᎏᎏ > 32 16 57. The product of 16 and x is equal to 32. B. x4 = 16 58. The difference of x and 16 is 32. C. x + 16 < 32 59.

ALGEBRAIC MODELING In Exercises 39–48, write an equation or an inequality to model the real-life situation. 39. 50 less than Eileen’s hourly wage e. 1 40. The distance s to school is ᎏᎏ mile more than the distance c to the Community 5 Center swimming pool. 41. The length c of the Colorado River is three times the length r of the Connecticut River, plus 229 miles. 42. Pi (π) is the quotient of the circumference C and the diameter d of a circle. 43. The volume V of a cube with a side length s is less than or equal to thirty minus three.

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Algebra by Laurie Boswell, Timothy D. Kanold, Lee Stiff, Holt Mcdougal


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