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Slide 1 - 1 Copyright © 2009 Pearson Education, Inc. Active Learning Lecture Slides For use with Classroom Response Systems © 2009 Pearson Education, Inc. All rights reserved. Chapter 1 Graphs, Equations, and Inequalities

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Slide 1 - 2 Copyright © 2009 Pearson Education, Inc. Find the distance between the d(P 1, P 2 ) between the points P 1 (–4, –1) and P 2 (5, –4). a. b. c.72 d.12

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Slide 1 - 3 Copyright © 2009 Pearson Education, Inc. Find the distance between the d(P 1, P 2 ) between the points P 1 (–4, –1) and P 2 (5, –4). a. b. c.72 d.12

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Slide 1 - 4 Copyright © 2009 Pearson Education, Inc. Find the midpoint of the line segment joining points P 1 (0.3, 0.9) and P 2 (1.7, 1.4). a.(1.15, 1) b.(1, 1.15) c.(0.7, 0.25) d.(0.25, 0.7)

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Slide 1 - 5 Copyright © 2009 Pearson Education, Inc. Find the midpoint of the line segment joining points P 1 (0.3, 0.9) and P 2 (1.7, 1.4). a.(1.15, 1) b.(1, 1.15) c.(0.7, 0.25) d.(0.25, 0.7)

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Slide 1 - 6 Copyright © 2009 Pearson Education, Inc. Graph y = 3x - 9. a.b. c.d.

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Slide 1 - 7 Copyright © 2009 Pearson Education, Inc. Graph y = 3x - 9. a.b. c.d.

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Slide 1 - 8 Copyright © 2009 Pearson Education, Inc. Graph 3x 2 –2y = 56 using a graphing utility. a.b. c.d.

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Slide 1 - 9 Copyright © 2009 Pearson Education, Inc. Graph 3x 2 –2y = 56 using a graphing utility. a.b. c.d.

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Slide 1 - 10 Copyright © 2009 Pearson Education, Inc. List the intercepts of the graph. a.(–4, 0), (0, –4), (0, 1), (0, –5) b.(–4, 0), (0, 4), (0, 1), (0, 5) c.(–4, 0), (1, 0), (–5, 0), (0, –4) d.(4, 0), (1, 0), (5, 0), (0, –4) x

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Slide 1 - 11 Copyright © 2009 Pearson Education, Inc. List the intercepts of the graph. a.(–4, 0), (0, –4), (0, 1), (0, –5) b.(–4, 0), (0, 4), (0, 1), (0, 5) c.(–4, 0), (1, 0), (–5, 0), (0, –4) d.(4, 0), (1, 0), (5, 0), (0, –4) x

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Slide 1 - 12 Copyright © 2009 Pearson Education, Inc. Use a graphing utility to approximate the intercepts rounded to two decimal places for the equation 3x 2 – 5y = 34. a.(0, –6.8), (3.37, 0) b.(0, –6.8), (–3.36, 0), (3.36, 0) c.(0, 6.8), (–3.37, 0), (3.37, 0) d.(0, –6.8), (–3.37, 0), (3.37, 0)

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Slide 1 - 13 Copyright © 2009 Pearson Education, Inc. Use a graphing utility to approximate the intercepts rounded to two decimal places for the equation 3x 2 – 5y = 34. a.(0, –6.8), (3.37, 0) b.(0, –6.8), (–3.36, 0), (3.36, 0) c.(0, 6.8), (–3.37, 0), (3.37, 0) d.(0, –6.8), (–3.37, 0), (3.37, 0)

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Slide 1 - 14 Copyright © 2009 Pearson Education, Inc. Use a graphing utility to approximate the real solutions, if any, rounded to two decimal places of the equation x 4 – 3x 2 + 4x + 15 = 0. a.{–0.84, –1.93} b.{2.11, –2.60} c.{3.94, –1.27} d.No real solutions

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Slide 1 - 15 Copyright © 2009 Pearson Education, Inc. Use a graphing utility to approximate the real solutions, if any, rounded to two decimal places of the equation x 4 – 3x 2 + 4x + 15 = 0. a.{–0.84, –1.93} b.{2.11, –2.60} c.{3.94, –1.27} d.No real solutions

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Slide 1 - 16 Copyright © 2009 Pearson Education, Inc. Solve. a. b. c. d.

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Slide 1 - 17 Copyright © 2009 Pearson Education, Inc. Solve. a. b. c. d.

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Slide 1 - 18 Copyright © 2009 Pearson Education, Inc. Solve. a. b. c. d.No solution

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Slide 1 - 19 Copyright © 2009 Pearson Education, Inc. Solve. a. b. c. d.No solution

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Slide 1 - 20 Copyright © 2009 Pearson Education, Inc. Going into the final exam, which will count as three tests, Jerome has test scores of 61, 72, 59, 75, and 77. What score does Jerome need on the final in order to earn a C, which requires an average of 70? a.82b.72 c.74d.76

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Slide 1 - 21 Copyright © 2009 Pearson Education, Inc. Going into the final exam, which will count as three tests, Jerome has test scores of 61, 72, 59, 75, and 77. What score does Jerome need on the final in order to earn a C, which requires an average of 70? a.82b.72 c.74d.76

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Slide 1 - 22 Copyright © 2009 Pearson Education, Inc. Solve. a.b. c.d.

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Slide 1 - 23 Copyright © 2009 Pearson Education, Inc. Solve. a.b. c.d.

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Slide 1 - 24 Copyright © 2009 Pearson Education, Inc. Solve the equation by square root method. a.{–14, 14} b.{1, 4} c.{–4, 1} d.{0, 1}

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Slide 1 - 25 Copyright © 2009 Pearson Education, Inc. Solve the equation by square root method. a.{–14, 14} b.{1, 4} c.{–4, 1} d.{0, 1}

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Slide 1 - 26 Copyright © 2009 Pearson Education, Inc. Solve the equation by completing the square. a.b. c.d.

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Slide 1 - 27 Copyright © 2009 Pearson Education, Inc. Solve the equation by completing the square. a.b. c.d.

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Slide 1 - 28 Copyright © 2009 Pearson Education, Inc. Solve the equation by using the quadratic formula. a.b. c.d.No solution

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Slide 1 - 29 Copyright © 2009 Pearson Education, Inc. Solve the equation by using the quadratic formula. a.b. c.d.No solution

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Slide 1 - 30 Copyright © 2009 Pearson Education, Inc. A ball is thrown vertically upward from the top of a building 128 feet tall with an initial velocity of 112 feet per second. The distance s (in feet) of the ball form the ground after t seconds is s = 128 + 112t – 16t 2. After how many seconds will the ball pass the top of the building on its way down? a.9 secb.128 sec c.6 secd.7 sec

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Slide 1 - 31 Copyright © 2009 Pearson Education, Inc. A ball is thrown vertically upward from the top of a building 128 feet tall with an initial velocity of 112 feet per second. The distance s (in feet) of the ball form the ground after t seconds is s = 128 + 112t – 16t 2. After how many seconds will the ball pass the top of the building on its way down? a.9 secb.128 sec c.6 secd.7 sec

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Slide 1 - 32 Copyright © 2009 Pearson Education, Inc. Multiply. (4 + 6i)(2 – 7i) a.–34 + 40i b.50 + 16i c.50 – 16i d.–42i 2 – 16i + 8

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Slide 1 - 33 Copyright © 2009 Pearson Education, Inc. Multiply. (4 + 6i)(2 – 7i) a.–34 + 40i b.50 + 16i c.50 – 16i d.–42i 2 – 16i + 8

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Slide 1 - 34 Copyright © 2009 Pearson Education, Inc. Given z = 4 – 9i, evaluate a.–65 b.16 – 81i 2 c.97 d.16 – 81i

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Slide 1 - 35 Copyright © 2009 Pearson Education, Inc. Given z = 4 – 9i, evaluate a.–65 b.16 – 81i 2 c.97 d.16 – 81i

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Slide 1 - 36 Copyright © 2009 Pearson Education, Inc. Solve the equation in the complex number system. a. b. c. d.

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Slide 1 - 37 Copyright © 2009 Pearson Education, Inc. Solve the equation in the complex number system. a. b. c. d.

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Slide 1 - 38 Copyright © 2009 Pearson Education, Inc. Find the real solutions of the equation. a. b. c. d.No real solution

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Slide 1 - 39 Copyright © 2009 Pearson Education, Inc. Find the real solutions of the equation. a. b. c. d.No real solution

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Slide 1 - 40 Copyright © 2009 Pearson Education, Inc. Find the real solutions of the equation. a. b. c. d.

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Slide 1 - 41 Copyright © 2009 Pearson Education, Inc. Find the real solutions of the equation. a. b. c. d.

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Slide 1 - 42 Copyright © 2009 Pearson Education, Inc. Solve the equation. a. b. c. d.

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Slide 1 - 43 Copyright © 2009 Pearson Education, Inc. Solve the equation. a. b. c. d.

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Slide 1 - 44 Copyright © 2009 Pearson Education, Inc. Solve the equation. a. b. c. d.

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Slide 1 - 45 Copyright © 2009 Pearson Education, Inc. Solve the equation. a. b. c. d.

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Slide 1 - 46 Copyright © 2009 Pearson Education, Inc. A bank loaned out $65,000, part of it at a rate of 12% per year and the rest at a rate of 6% per year. If the interest received was $5580, how much was loaned at 12%? a.$28,000 b.$37,000 c.$29,000 d.$36,000

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Slide 1 - 47 Copyright © 2009 Pearson Education, Inc. A bank loaned out $65,000, part of it at a rate of 12% per year and the rest at a rate of 6% per year. If the interest received was $5580, how much was loaned at 12%? a.$28,000 b.$37,000 c.$29,000 d.$36,000

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Slide 1 - 48 Copyright © 2009 Pearson Education, Inc. How many gallons of a 30% alcohol solution must be mixed with 60 gallons of a 14% solution to obtain a solution that is 20% alcohol? a.27 gal b.36 gal c.7 gal d.12 gal

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Slide 1 - 49 Copyright © 2009 Pearson Education, Inc. How many gallons of a 30% alcohol solution must be mixed with 60 gallons of a 14% solution to obtain a solution that is 20% alcohol? a.27 gal b.36 gal c.7 gal d.12 gal

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Slide 1 - 50 Copyright © 2009 Pearson Education, Inc. A freight train leaves a station traveling at 32 km/h. Two hours later, a passenger train leaves the same station traveling in the same direction at 52 km/h. How long does it take the passenger train to catch up to the freight train? a.5.2 hr b.4.2 hr c.3.2 hr d.2.2 hr

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Slide 1 - 51 Copyright © 2009 Pearson Education, Inc. A freight train leaves a station traveling at 32 km/h. Two hours later, a passenger train leaves the same station traveling in the same direction at 52 km/h. How long does it take the passenger train to catch up to the freight train? a.5.2 hr b.4.2 hr c.3.2 hr d.2.2 hr

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Slide 1 - 52 Copyright © 2009 Pearson Education, Inc. BJ can overhaul a boat’s diesel inboard engine in 20 hours. His apprentice takes 60 hours to do the same job. How long would it take them working together assuming no gain or loss in efficiency? a.12 hr b.6 hr c.80 hr d.15 hr

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Slide 1 - 53 Copyright © 2009 Pearson Education, Inc. BJ can overhaul a boat’s diesel inboard engine in 20 hours. His apprentice takes 60 hours to do the same job. How long would it take them working together assuming no gain or loss in efficiency? a.12 hr b.6 hr c.80 hr d.15 hr

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Slide 1 - 54 Copyright © 2009 Pearson Education, Inc. Express the graph shown using interval notation and as an inequality involving x. a.[–7, –1); –7 ≤ x < –1 b.(–7, –1); –7 < x < –1 c.[–7, –1]; –7 ≤ x ≤ –1 d.(–7, –1]; –7 < x ≤ –1 0–2–4–6–8 2 4 ) [

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Slide 1 - 55 Copyright © 2009 Pearson Education, Inc. Express the graph shown using interval notation and as an inequality involving x. a.[–7, –1); –7 ≤ x < –1 b.(–7, –1); –7 < x < –1 c.[–7, –1]; –7 ≤ x ≤ –1 d.(–7, –1]; –7 < x ≤ –1 0–2–4–6–8 2 4 ) [

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Slide 1 - 56 Copyright © 2009 Pearson Education, Inc. Solve –5(2x + 13) < –15x – 35. Express your answer in interval notation. a.(6, ∞) b.(–∞, 6) c.(–∞, 4) d.(–∞, 20)

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Slide 1 - 57 Copyright © 2009 Pearson Education, Inc. Solve –5(2x + 13) < –15x – 35. Express your answer in interval notation. a.(6, ∞) b.(–∞, 6) c.(–∞, 4) d.(–∞, 20)

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Slide 1 - 58 Copyright © 2009 Pearson Education, Inc. Solve –27 ≤ –5x – 2 ≤ –12. Express your answer in interval notation. a.(2, 5) b.[2, 5] c.[–5, –2] d.(–5, –2)

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Slide 1 - 59 Copyright © 2009 Pearson Education, Inc. Solve –27 ≤ –5x – 2 ≤ –12. Express your answer in interval notation. a.(2, 5) b.[2, 5] c.[–5, –2] d.(–5, –2)

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Slide 1 - 60 Copyright © 2009 Pearson Education, Inc. Solve |x – 6| + 7 ≤ 16. Express your answer in interval notation. a.[–3, 16] b.(–3, 15) c.[–3, 15] d.

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Slide 1 - 61 Copyright © 2009 Pearson Education, Inc. Solve |x – 6| + 7 ≤ 16. Express your answer in interval notation. a.[–3, 16] b.(–3, 15) c.[–3, 15] d.

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