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I FORM HONORS FINAL EXAM REVIEW 2013 The final exam will be on Thursday, May 30. Research shows that review done a week prior to an exam is more productive than studying a night or two before the exam. Put your best effort into the class and homework during this review period and you should be prepared for the exam. The problems on this practice exam are similar to the ones that could appear on the exam. Be sure to complete the entire review packet. You should also look over old tests, quizzes and homework assignments. Come to class prepared to ask questions about any problems or concepts you are still unsure of how to solve. If you make good use of this review period by working hard on problems and asking questions when necessary, you should not be surprised by anything on the exam. Get a good night’s rest prior to the exam, eat a nutritious breakfast and come ready to do well! Material covered on the I Form common exam: All chapters with emphasis on chapters 5 – 11.4 & 12.1 - 12.3 You will have a calculator for part 2 of the exam. Name:__________________________________ Teacher:________________________________ Block: ________ Name____________________________________ I Form Final Exam Review Packet Final Exam is 8:30 am – 10:00 am on Thursday, May 30, 2013 Chapters 1, 2, & 3 1) Solve: x 432 253 2) Simplify: 2 2 (5 8) 2 3) Simplify: (0.006) 2 4) Simplify: 5) Evaluate the expression: 5x y z ; if x 2, y 12 and z 3. 62 63 6) Mrs. Schultz has $165 in her checking account. If she buys the following items, how much will be left in her account? A magazine: $3.89, a 23 oz. steak: $19.65, and a hammock: $123.99. Simplify #7 - #9. 7) 8 6 (3.11.1) 2 9) Write the expression in simplest form without exponents: 10) Round to the nearest thousandths: 2 8) 5.2 8.03 7.29 6,345.87574 9) 7 6 79 (3) 2 (2 3) 2 Chapter 4 Simplify #11 – #13. 11) 3 5 5 3 1 7 8 12 8 14a) Find the GCF of 56, 72, and 120 15) Write 12) 5 1 1 3 6 2 14b) 13) 1 1 8 4 2 Find the LCM of 56, 72, and 120 13 as a terminating or repeating decimal. 9 Chapter 5 Solve #16 – #19. 16) 9.4 x 8.7 17) 1 x 9 27 3 18) 5x 2 75 19) 7x 12.9 68.9 3 Chapter 5 - continued Solve #20 – #23. 20) 2 x 4 15 5 21) 41 7.1x 6 2.3x 22) 6(3 2x) 66 23) 2 x 5 ( x ) 6 1 5 5 6 #24 Chapter 6 24) State whether the two triangles are congruent. If so, which test of congruence do they pass? 25) Find the circumference of a circle with a diameter of 10 cm. Use this diagram for #26 – #28. 26) 1 2 3 Name a pair of vertical angles. _____________________________________ 4 27) Name a pair of alternate interior angles. 5 6 _____________________________________ 7 8 28) 10 11 12 Name a pair of corresponding angles. 9 4 _____________________________________ Chapter 6 29) Angle C and angle D are complementary angles. If the measure of angle C is 12 degrees more than angle D, find the measure of each. First write an algebraic equation, then solve. Chapter 7 Solve #30 – #33. 30) 76 is x% of 200. 31) 11% of 150 is x. 32) x% of 80 is 32. 33) 18 is 9% of x. 34) Find the simple interest the bank earns if Eric borrows $950 with an interest rate of 7% for a year. 35) How much commission does Lauren make if she sells $450 worth of video games at a 5% rate of commission? 5 Chapter 7 36) If Sameer earns a $500 per month salary plus the above commission (in problem #35), what is his total monthly income? 37) Lily bought a new TV that was marked up 25%. If she paid $325 for the TV, what was the original price? 38) Lexi bought a new DVD player. The original price was $270 but it was discounted by $122. What was the percent of change? 39) The Ryan family drove for 1 hour and 15 minutes to Dorney Park. If Mr. Ryan drove at an average speed of 50 mph, what is the distance from where they began to Dorney Park? 40) Will purchased a new bike for $159.40, a helmet for $30.95, a pair of gloves for $22.75, and two inner tubes for $11.95 each. He lives in NYC and had to pay 8% sales tax on these items. How much change did he receive if he gave the cashier a $1,000 bill (to the nearest cent)? 6 Chapter 7 41) On Memorial Day, the Foster family drove 189 miles. The trip took 3 1 hours. What was the 2 average speed in miles per hour? 42) Harry borrowed $180 for 18 months at 6% simple interest. Find the total amount he has to repay the bank. (Round to the nearest cent.) #43 Chapter 8 43) Graph the solution to 3 x 6 2 y #44 44) Graph the solution to 2y x 2 yx4 7 Chapter 8 45) Find the slope of the line that passes through (-1,2) and (4,7). 46) Find the slope and y-intercept of the line 3x+y=2 . Chapter 9 47) Find the area of a circle with a diameter of 12 mm. 48) Find the area of this trapezoid 49) Find the volume of a cube with edges of length 1.2 cm. 8 Chapter 9 50) 1 Find the volume of a rectangular prism with l 6.2cm; w 10 cm; height 133mm . 4 51) Find the total surface area. 52) Find the total surface area. 53) Find the volume of the cone below. r = 3; h = 7 54) Find the area of the figure below. 9 Chapter 10 55) Find x below. 56) 10 Find y below. 5 y 8 s 3 x 57) There is a square parking lot that measures 30 feet on each side. How far is it diagonally from the southwest corner to the northeast corner? (Round to the nearest tenth.) 58) What is the ratio for a 30°-60°-90° triangle? _____________________________________ 59) What is the ratio for a 45°-45°-90° triangle? _____________________________________ Chapter 10 Use the diagram below & the trig table for #60 – #64. Find the fraction and trigonometric ratio 60) A 34 sin A = ___________= ____________ 61) tan B = ___________= ____________ 62) cos B = ___________= ____________ 63) cos A = ___________= ____________ 16 s_ C B 30 10 64) Solve this triangle using the information from #61-63 m A = _______ m B = _______ A 34 16 s C B 30 Chapters 11& 12 For # 65-67 MNO XYZ MN 3 NO , then ? XY 4 YZ 65) ________________ If 66) ________________Find the length of MO 67) ________________Find the measure of N 11 Chapters 11 & 12 For # 68-70 use NPR 68) ________________ If PR = 6, then PN =? 69) ________________If PR = 4, then NR =? 70) ________________If PN = 12, then RN =? 71) __________________In how many different ways can you arrange four cards if you arrange them side by side in a row and do not repeat any of them? ABCD 72) __________________In how many different ways can you arrange the 4 cards above if you take only 2 at a time and arrange them side by side? 73) __________________Katie has a green skirt, a purple skirt, and a red skirt. She also has one tan shirt and one white shirt. With them she can either wear black, blue, or brown shoes. How many different outfits does she have? 12 Chapters 11 & 12 cont’d 74) __________________What is the probability that she will wear a red skirt, a tan shirt, and brown shoes? (Refer to question #73) 75) __________________How much did the pulse rate increase by the end of the first four minutes of exercise? 76) __________________What was this person’s pulse rate after 24 minutes? 77) __________________Picking from the numbers in the bag above, find P(even #): 78) __________________What is P(factor of 3)? 13 Chapters 11 & 12 cont’d 79) _________________What are the odds in favor of spinning a number greater than 1? 80) _________________What is the probability of spinning a letter? 81) _________________How many more skiers prefer Vail over Aspen? 82) ________________ Find 9 P4 83) ________________Find 5! 14 Chapters 11 & 12 cont’d 84) _________________Find the range of scores in round 1. 85) _________________Find the mean of Juli’s scores. 86) _________________ Find the range, mean, median, and mode of the following numbers: 53, 56, 46, 68, 53, 61, 44, 50, 42, 63 15 Chapter 13 87.) ___________________ Evaluate 8 y10 7 y 9 y 5 when y 1 . 88.) ____________________ Add the polynomials. x 2 (3 x 2 x 2 ) x ; x x(2 x x3 5 x 2 ) 3b3 89.) _____________________ Simplfy. Leave your answer as a monomial. 2b 90.) ______________________ Expand and Multiply. (4k 3 7) 2 91.) ______________________ Divide the first polynomial by the second. 3 y3 8 y 2 7 y 2 ; y 2 2 y 1 16 4