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### Final exam review sheet # 3 2015

1. Name: ________________________________ Date: ________ Math Period: ______ Final Exam Review Sheet #3- PART 1 Part 1 (Multiple Choice)- Write the letter before each number for each question below. ______ 1. A trapezoid has the following points: A (-5, 4) , B (1, 4) , C (-6, 1) and D (2,1). Find the distance from point C to D. A) 9 units B) 8 units C) 6 units D) 5 units 2. If Dancer A twirls 24 times per minute. Dancer B twirls an unknown amount compared to Dancer A. If the ratio of twirls for Dancer A to Dancer B is 6:4, how many twirls does Dancer B do in one minute? A) 12 twirls B) 16 twirls C) 144 twirls D) 96 twirls 3. Which shape below is the net for the solid figure on the right? A) B) C) D)
2. Favorite Ice Cream Flavors- Grade 6 Chocolate 50% Strawberry 15% Other 10% 4. The following shape is plotted on the coordinate plane below. What is the total perimeter of the figure? (1 box = 1 cm) A) 34 cm B) 35 cm C) 33 cm D) 44 cm 5. Based on the pie graph on the right, If 250 students in Grade 6 were surveyed, how many students like vanilla? A) 62.5 students B) 100 students C) 40.5 students D) 150 students 6. Which solution would make this equation true? 20 = A) 5 B) 200 C) 50 D) 2000 _ 7. Convert 8 % to a decimal. A) .008 B ) 0.8 C) 8% D) .08 8. Which set of numbers below are ordered from GREATEST to LEAST? A) 80% .6 B) .6 80% C) 80% .6 D) 80% .6 Vanilla 25%
3. 9. The teacher graded 86 math papers on Tuesday at a ratio of 2:10 papers graded to minutes. How long did it take to grade the math papers? A) 860 minutes B) 172 minutes C) 220 minutes D) 430 minutes 10. Bobby is hoping to go to college on a basketball scholarship. To train, he shoots baskets every other day, runs every three days, and does agility training every four days. If he starts his training on July 1st by doing all three on the same day, when will be the next time he will train all three again in July? A) July 6 B) July 12 C) July 13 D) July 24 _ 11. Nicole plotted the first two corners of a triangle on the grid below. What would the coordinates of the third point need to be in order for the triangle to have a base of 7 units? A) (6,1) B) (–2,3) C) (–4,1) D) (–1,1) 12. The figure to the right is a rectangular prism. Which statement best describes this rectangular prism? A) All of the faces are rectangles. B) None of the faces are rectangles. C) Two of the faces are squares. D) Four of the faces are squares. 13. Which set of numbers below are ordered from GREATEST to LEAST? A) 4 4 4 4 B) 4 4 4 4 C) 4 4 4 4 D) 4 4 4 4 14. Triangle FGH is plotted on the coordinate plane on the right. What would be the coordinates of Point F reflected over the Y axis? A) (3, 2) B) (–3, –2) C) (3, –2) D) (–2, –3)
4. 15. What is the GCF of 75 and 90? A) 15 B) 5 C) 9 D) 300 16. A roller coaster ride issues a warning that there is a weight limit of 350 lbs. in order to meet safety standards. Which inequality shows the safe weight limit w for which a rider may go on the roller coaster? A) w < 350 B) w > 350 C) w < 350 D) w > 350 17. In order to solve for n in the equation n – 72 = 140, which operation would have to be done first? A) subtract 140 from both sides B) multiply 72 on both sides C) add 72 to both sides D) subtract 72 from both sides 18. Bill needs to purchase cold cuts for his family. Boars Head turkey is on sale for \$ 6.98 per pound. Bill decides to purchase 2.5 pounds. What is the cost for the 2.5 pounds of turkey? A) \$ 17.45 B) \$ 17.00 C) \$ 14.50 D) \$17.50 19 Which inequality expression is the number line below modeling? A) – 3 > x > 3 B) – 3 > x > 3 C) – 3 < x < 3 D) – 3 > x > 3 20. How many foot pieces of rope can be cut from a piece of rope that measures 12 feet in length? A) 8 pieces B) 18 pieces C) 12 pieces D) 6 pieces 21. Let m represent the number of minutes that Alexis read last week. Alexis read 10 minutes less than twice what she read last week. Which expression below would show how many minutes she read this week? A) 2m + 10 B) 2m - 10 C) 2 (m – 10) D) 2 (m +5) 22. Which property is being shown by the following: 7 (8 + 3) = (7 • 8) + (7 • 3)? A) Distributive Property B) Associative Property of Multiplication C) Commutative Property of Addition D) Commutative Property of Multiplication
5. 23. Evaluate (12 + 23) + 52 – 3² A) 15 B) 48 C) 196 D) 51 _______ 24. Which shows the correct order of integers from LEAST to GREATEST? A) 0, 1, –1, –2, 2 B) –2, – 1, 0, 1, 2 C) 0,1, 2, –1, –2 D) –2 , – 1, 0, 2, 1 25. What is an equivalent expression for 8(n – 5)? A) 8n – 5 B) 8n – 85 C) 8n – 40 D) 8 – 5 26. Which fraction is the reciprocal of 20? A) B) C) D) 27. Evaluate the expression 6n + m for n = 5 and m = 4 A) 54 B) 69 C) 34 D) 29 28. Evaluate and simplify: ÷ 3 A) 3 B) 3 C) D) 29. Sea level in New Orleans can be as low as 10 feet below. A bird flutters at 12 feet above sea level, a bumblebee floats at 1 foot above sea level, a fish swims at 12 feet below sea lea level and a mosquito hovers just above the ground at .88 feet above sea level. Which is closest to New Orleans’s sea level? A) bird B) bumblebee C) fish D) mosquito 30. Find the area of the polygon ABCDEF. A) 58 ft.² B) 29 ft.² C) 52 ft. D) 123 ft. ² 31. Identify which of the following fractions will result in a repeating decimal. A) B) C) D) 32. What fraction is equivalent to 12.4? A) 12 B) 12 C) 12 D) 12
6. 33. If 6 hockey pucks cost \$21, how much would it cost for 18 hockey pucks? A) \$126 B) \$378 C) \$3 D) \$63 _______ 34. A rectangular prism has dimensions of 3cm, 8cm, and 5cm. Which expression can be used to find the volume of the prism? A) 3 x 8 x 5 B) 3 + 8 + 5 C) 3 – 8 - 5 D) 3(3 x 8) + 3(8 x5) + 3(3 x 5) 35. Evaluate the following expression: |6| • |2| – |–12| A) 24 B) 0 C) 12 D) – 24 36. Which tape diagram below best models the expression in expanded form: 4(x + 4) a) + b) + + + + c) Part 2- Must show all work! 1. The ratio of black marbles to white marbles in a bag is 2:7. If the total number of marbles in the bag is in the classroom is 207, how many of each colored marble is the bag? Use a tape diagram to prove your answer. x 4 x x x x 4x x 4+ 4 ANSWER ______ BLACK MARBLES ______ WHITE MARBLES
7. 2. Evaluate the expression below for x = 9 3x2 + (x – 3) – 2x 3. Block B is a rectangular prism with the measurements listed below. Calculate the SURFACE AREA of Block B? Show all of your work. BLOCK B: 4. Jonathan has a neighborhood job where he gets paid for raking leaves. He charges a flat rate of \$20 per customer plus \$2 per bag of leaves collected from raking. A) Let (x) represent the total number of bags of leaves. Write an equation for the total money earned (y) per customer by raking leaves. B) If Jonathan collects 16 bags of leaves from raking, calculate the total amount of money he should be paid. 𝟏𝟎 𝐜𝐦. 𝟐 𝐜𝐦. 𝟑 𝐜𝐦
8. 5. The points of a quadrilateral are A(4,1), B(4,–3), C(0, –3), D(0,1). Plot the points in the coordinate plane and find the area and perimeter. Show all work below. 6. Chlorine in pools can sometimes irritate children’s eyes. Two swimming pools in Michael’s neighborhood are treating the water with chlorine tablets based on the ratios listed below. a) Complete both charts below. POOL A Gallons of Water 10 20 40 60 Chlorine tablets 3 9 15 POOL B Gallons of Water 5 15 25 Chlorine tablets 2 4 8 12 b) If Michael were to swim in each pool, which pool has a greater chance in irritating Michael’s eyes? Explain your reasoning. ANSWER AREA: PERIMETER:
9. 7. Jenna and Colleen decided to get a birthday gift for their friend Courtney. They each decided to share the cost equally but only have \$27.00 each to spend. The cost of the gift they are considering is \$50.00 not including tax. If the tax is 8%, will they have enough money to purchase the gift? A) What would the tax be for the gift? B) What would the total cost of the gift be including the tax? C) How much will it cost each of them? D) Will they each have enough money to pay for the gift?
10. Final Exam Review Sheet #3- PART 1 1. B 2. B 3. A 4. A 5. A 6. D 7. D 8. C 9. D 10.B 11.C 12.C 13.D 14.B 15.A 16.A 17.C 18.A 19.C 20.B 21.B 22.A 23.D 24.B 25.C 26.A 27.C 28.C 29.C 30.D 31.B 32.B 33.D 34.A 35.B 36.D
11. Final Exam Review Sheet #3- PART 2 1. BLACK 23 23 WHITE 23 23 23 23 23 23 23 BLACK MARBLES = 46 WHITE MARBLES = 161 2. 3x2 + (x – 3) – 2x 3•92 + (9 – 3) – 2•9 3•92 + 6 – 2•9 3•81 + 6 – 2•9 243 + 6 – 2•9 243 + 6 – 18 249 – 18 231 3. 2LW+2LW+2LW 2(10x2) + 2(10x3) + 2(2x3) 2(20) + 2(30) + 2(6) 40 + 60 + 12 100 + 12 112 cm2 4a. 20 + 2x = y 4b. \$52 5. A = 16un2 P = 16un
12. 6. POOL A Gallons of Water 10 20 30 40 50 60 Chlorine tablets 3 6 9 12 15 18 POOL B Gallons of Water 5 10 15 20 25 30 Chlorine tablets 2 4 6 8 10 12 Pool B will have a greater chance of irritating Michael’s eyes because there is more chlorine. There are 4 tablets per 10 gallons of water compared to Pool A which has one less table (3) per the same about of water (10 gallons) 7a. \$4 7b. \$54 7c. \$27 7d. yes
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