ExamView - A2A Summer Packet 2010-11.tst

Name: ________________________ID: A____ 16. −3(−4y + 3) + 7ya. 19y − 9 b. 10y c. −19y + 3 d. −19y − 9____ 17.x2 + x 23 − x 5 − x 24a. −x 2 − x 3b.x 212 + 3x10c.2x3 + 4x7d.x3 − 1____ 18. Find the perimeter of the figure. Simplify the answer.a. 9x + 2y b. 10x + y c. 10x + 2y d. 9x + 3y____ 19. If a = b, then a – c ____ equals b – c.a. always b. sometimes c. neverSolve the equation.____ 20. 3y + 20 = 3 + 2ya. − 1 17b. 7 2 3c. 23 d. −17____ 21.14 r − 1 16 + 1 2 r = 1 2 + r9a.4b.74c. − 9 4d. − 7 4____ 22. 6(x − 0.8) − 0.2( 5x − 4) = 6a. –0.5 b. –2 c. 0.5 d. 2____ 23. | 3x + 5| = 1a. x = 2 or x = −1 1 3c. x = 2 or x = −2b. x = 2 or x = −4 d. x = −1 1 or x = −233

Name: ________________________ID: A____ 24. 3| 3x + 4| − 7 = 5a. x = 8 9 or x = −2 9b. x = 0 or x = −2 2 3c. x = 8 9 or x = −22 3d. x = 8 9 or x = 0Solve the equation or formula for the indicated variable.____ 25. S = 5r 2 t, for ta. t = S 5− r b. t =25rSc. t = r 2 − 5S d. t = S5r 2____ 26. T = 2U E , for Ua. U = T − E2b. U = T + E 2c. U = 2T − E d. U = TE 2____ 27. The formula for the time a traffic light remains yellow is t = 1 s + 1, where t is the time in seconds and s is8the speed limit in miles per hour.a. Solve the equation for s.b. What is the speed limit at a traffic light that remains yellow for 4.5 seconds?a. s = 8t − 8; s = 28 mi/h c. s = 8t − 1; s = 35b. s = 8t; s = 36 mi/h d. s = 1 t − 1; s = 28 mi/h8Solve for x. State any restrictions on the variables.____ 28. ax + bx + 9 = 7a. x =2a + b ; a ≠ b c. x = 7a + b + 9 ; a + b ≠ −9b. x =7a + b + 9 ; a ≠ 0, b ≠ −9 d. x = −2a + b ; a ≠ −b____ 29. a(bx + 2) = cx − 12a.−12 − 2ax =ab − cb.−12 + 2ax =c + ab2a + 12; ab ≠ c c. x = ; no restrictionsc − ab; ab ≠ c d. x =ab − c−12 − 2a ; a ≠ −1____ 30. A rectangle is 3 times as long as it is wide. The perimeter is 60 cm. Find the dimensions of the rectangle.Round to the nearest tenth if necessary.a. 7.5 cm by 22.5 cm c. 20 cm by 60 cmb. 7.5 cm by 52.5 cm d. 15 cm by 22.5 cm4

Name: ________________________ID: A____ 31. The sides of a triangle are in the ratio 3 : 4 : 5. What is the length of each side if the perimeter of the triangleis 90 cm?a. 10.5 cm, 11.5 cm, and 12.5 cm c. 7.5 cm, 11.5 cm, and 32.1 cmb. 22.5 cm, 30 cm, and 37.5 cm d. 19.3 cm, 25.7 cm, and 32.1 cm____ 32. Two cars leave Denver at the same time and travel in opposite directions. One car travels 10 mi/h faster thanthe other car. The cars are 500 mi apart in 5 h. How fast is each car traveling?a. 35 mi/h and 45 mi/h c. 45 mi/h and 55 mi/hb. 55 mi/h and 35 mi/h d. 55 mi/h and 65 mi/h____ 33. Michael has $12,500 to invest. He invests part in an account which earns 4.2% annual interest and the rest inan account which earns 6.2% annual interest. He earns $669.50 in interest at the end of the year. How muchwas invested at each rate?a. $5,000 at 4.2%, $7,500 at 6.2% c. $7,500 at 4.2%, $5,000 at 6.2%b. $7,225 at 4.2%, $5,275 at 6.2% d. $5,275 at 4.2%, $7,225 at 6.2%Solve the inequality. Graph the solution set.____ 34. 2 + 2k ≤ 8a. k ≥ 3 c. k ≤ 3b. k ≤ 5 d. k ≥ 5____ 35. 2r – 9 ≥ –6a. r ≤ 1 1 2c. r ≥ 1 1 2b. r ≥ −7 1 2d. r ≤ −7 1 2____ 36. –4k + 5 ≤ 21a. k ≥ –4 c. k ≤ –4b. k ≥ −6 1 2d. k ≤ −6 1 25

Name: ________________________ID: ASolve the problem by writing an inequality.____ 37. A club decides to sell T-shirts for $12 as a fund-raiser. It costs $20 plus $8 per T-shirt to make the T-shirts.Write and solve an equation to find how many T-shirts the club needs to make and sell in order to profit atleast $100.a. 12x − ( 8x + 20) ≥ 100; x ≥ 30 c. (8x + 20) − 12x ≥ 100; x ≥ 20b. 12x − 8x + 20 ≥ 100; x ≥ 20 d. 12x − 8(x + 20) ≥ 100; x ≥ 20____ 38. If the perimeter of a rectangular picture frame must be less than 200 in., and the width is 36 in., what mustthe height h of the frame be?a. h < 64 in. b. h > 128 in. c. h > 64 in. d. h < 128 in.Solve the compound inequality. Graph the solution set.____ 39. 5x + 10 ≥ 10 and 7x – 7 ≤ 14a. x ≥ 4 or x ≤ 1 c. x ≥ 4 or x ≤ 3b. x ≥ 0 and x ≤ 1 d. x ≥ 0 and x ≤ 3____ 40. −2 ≤ 2x − 4 < 4a. 0 ≤ x < − 2 c. 1 ≤ x < 0b. 1 ≤ x < 4 d. 3 ≤ x < 6Solve the inequality. Graph the solution.____ 41. | 2x + 3 | ≥ 19a. x ≤ −22 or x ≥ 16 c. x ≤ −11 or x ≥ 8b. x ≤ −8 or x ≥ 8 d. x ≥ −11 or x ≤ 8____ 42. | 2x + 10 | < 26a. –18 > x > 8 c. –36 < x < 16b. –18 < x < 8 d. x < − 8 or x > 86

Name: ________________________ID: A____ 43. When Spheres-R-Us ships bags of golf balls, the number of balls in each bag must be within 6 balls of 300.Write an absolute value inequality and a compound inequality for an acceptable number of golf balls b ineach bag.a. | b − 6| ≤ 300; 294 ≤ b ≤ 306 c. | b − 300| ≤ 6; 297 ≤ b ≤ 303b. | b − 3| ≤ 300; 297 ≤ b ≤ 303 d. | b − 300| ≤ 6; 294 ≤ b ≤ 306____ 44. Lynn and Dawn tossed a coin 60 times and got heads 33 times. What is the experimental probability oftossing heads using Lynn and Dawn’s results?209119a.b.c.d.11202011____ 45. This is a spinner used in a board game. What is the probability that the spinner will land on a multiple of 3and 4?a.14b.12c.18d.38____ 46. A spinner is numbered from 1 through 10 with each number equally likely to occur. What is the probabilityof obtaining a number less than 2 or greater than 7 in a single spin?21a.b.c. 2 1 3d.522107

Name: ________________________ID: A____ 47. If a dart hits the target at random, what is the probability that it will land in the shaded region?a.14b.116 π c. 116d. 16πShort Answer48. Name the property used in each step of simplification.3(2x + y) + 4y = (6x + 3y) + 4x= (3y + 6x) + 4x= 3y + (6x + 4x)= 3y + x(6 + 4)= 3y + x(10)= 3y + 10x= 10x + 3yEssay49. Air temperature drops approximately 5.5ºF for each 1,000-foot rise in altitude above Earth’s surface (up to30,000 ft).a. Write a formula that relates temperature t in degrees Fahrenheit at altitude h (inthousands of feet) and a ground temperature of 65ºF. State any restrictions on h.b. Find the temperature at 11,000 ft above Earth’s surface.Other50. What is the maximum number of 3.5-to-5-min songs that can fill a 120-min CD? What is the minimumnumber? Write your answer as a compound inequality. Explain your reasoning.8