Review Chapters 1-5. Name: Date: 1. Use tiles or a number line to show your work to find the values of the following. a.

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1 Review Chapters 1-5 Name: 1. Use tiles or a number line to show your work to find the values of the following. Date: a ( 2) = b. 9 + ( 2) + ( 6) = c. 5(3) = d. 2( 4.25) = e. 8 + ( 3) + 8 = 2. My family of si eats 24 meatballs and four pounds of pasta on spaghetti night. How many meatballs and how much pasta will we need when my grandparents (just two people) join us for spaghetti night? Show your work. 3. Show how to write each of the following as a numerical epression then find the value of the epression. a. Seven added to five groups of (11 3) b. Five groups of four reduced by two groups of si. 4. Circle the terms and solve the following problems. Show your work. a. 3(4+3) + 3(-6) b. -6+9(-2)+3(3) c. 14(3)+7+2(5+(-9)) d (7+2*3)+10

2 5. Mack knows that for dinner tonight he will either have beef or chicken, and he also knows he will have either green beans or corn along with it. He calculates the probabilities of eating each, which are shown in the table below. Looking at this chart, Mack says to himself Looks like I ll be eating chicken with corn since the probability of both of those is 1.25! Is Mack correct in his reasoning? Eplain your answer completely, justifying your statements. Brandolyn Patter, 12/31/ :17 AM Comment [1]: Skip for now 6. Add operations and parentheses, as many as you like, to make each of the following equations true. a = 56 b = 4 c = 40 d = Write two algebraic epressions for the area of the algebra tiles shown. One of your epressions should include parentheses, while the second should not.

3 8. Write the following epressions without parenthesis and simplify fully. a ( + 2) b. 2(3y 4) c. 7(2n + 3) 9. Write the following epressions without parenthesis and simplify fully. a. 9 3( + 2) b. 7(3 4) c. 7(9n 3) 10. For each epression below, rewrite the epression without parentheses or rewrite with parentheses if the parentheses are already there. Then construct a representation of the epression with algebra tiles. a. 3(y + 2) = b. 4( 3) = c. = a. y b. c. y c c c c c c c c c c c c c 11. Jesse and Priscilla decide to develop their own social networking site. Jesse invests $500 and Priscilla invests $800, and they agree that at the end of one year, they will split one-half of their profits evenly for they both will work the same amount during that year, and the remainder of the profits will be split in a ratio equal to their investments. At the end of the year, if Priscilla makes $600 more than Jesse does, what is the total amount of profit for that year? Justify your answer.

4 12. Marge lives in Perth, Australia, but her grandmother, Collette, lives in Paris, France. Marge s birthday is coming up, and Collette plans to visit Marge for Marge s birthday. Collette adds 50 euros (European dollars) to her wallet with the plan to give it to Marge when she sees her. Collette flies to Des Moines, Iowa, to spend several days eplore the eciting Midwest. Without really thinking about it, Collette converts all her money, including the 50 euros for Marge to U.S. dollars. After her eplorations, Collette flies to Perth, Australia, and at the airport, she again converts her money to Australian dollars, including the money she had set aside for Marge. When Collette sees her granddaughter Marge, how much, in Australian dollars will Collette give her? Justify your answer. Barney, Marge s brother, saw what Collette gave Marge, and said You know, if you had converted the euro straight to the Australian dollar, she would have gotten more. Is that true? Eplain. Note: One U.S. dollar = 1.46 Euro One U.S. dollar = 0.87 Australian dollar One Euro = 0.60 Australian dollar Brandolyn Patter, 12/31/ :19 AM Comment [2]: Skip for now. 13. When Tanya was given this problem to simplify: she rewrote it like this: What in the world do you think Tanya is doing? Eplain completely. 14. Calculate the area of the shape. All sides are either vertical or horizontal. cm cm cm cm cm

5 16. Evaluate (X + Y ) 5 for = 11 and y = 4. Show your work. 17. Boswa keeps getting confused. He thinks he can add and 2 to get 2 2. Help him out: what is he doing incorrectly? How can he remember the correct way to add epressions? 18. Fill in each blank to make the statement true. a. + = b. + = c. + =

6 19. Evaluate the epression for 2 + y 2 for = 5 and y = Each pair of figures below is similar. Calculate the length of the unknown sides. a. A D b. 16 m B 18 m C 8 m E y F 4 m A 9 m 15 m B 16 m C E D 32 m y F c. 3 d Mr. Webb gave his waiter a $5.60 tip on a $40 bill. What percent tip did he give the waiter? Create a linear model to represent this and use it to calculate the answer. 22. Assuming that the line is evenly divided, calculate all the missing values on each diagram below. a. y 64 0% 100% b. 45 z 0% y 100%

7 23. Tilda has been collecting matchbo cars her whole life. Her goal is to collect 1200 matchbo cars. Currently, she has 3 5 of her goal. Jack also collects matchbo cars, and he is etremely jealous of Tilda s collection. One night, he breaks into her home, and steals 1 8 of Tilda s collection! What fraction of her goal does Tilda have left? Show your work. How many cars did Jack steal? 24. Mr. Schuster s students just got their eams back. Use the clues below to determine how many students received A s, B s, C s, D s, and F s (where A, B, C, and D are passing grades and F is failing). There are 32 students in Mr. Schuster s class and every one of them took the eam. Four times as many students received B s than C s. One quarter of the students failed the eam. The fraction of the students who earned A s is equivalent to the fraction of the students who earned C s. Three-quarters of the students received either and A, B, or C. 25. Simplify the following epressions. a. ( 6) b. ( 36 6) + (42 7) c. ( 9)( 9)(8)( 2) d. (9) ( 9) (6) 26. Eduardo has one bag with 6 blueberry and 4 raspberry gummy worms. He has another bag with 4 red and 8 black licorice sticks.

8 If Eduardo takes one gummy worm and one licorice out of each bag, what is the probability that he will get a raspberry gummy worm and a red licorice? Brandolyn Patter, 12/31/ :22 AM Comment [3]: Skip for now 27. Martin has a very limited wardrobe. He has four pairs of pants: one blue, one green, one tan, and one white. He also has five shirts: two blue, one white, one green and one green and tan striped. a. Create a rectangular model representing Martin s possible outfits. b. If Marten closes his eyes and grabs a shirt and a pair of pants at random, what is the probability he will be wearing i. green pants and a blue shirt? ii. iii. iv. tan pants and a white shirt? green pants OR a shirt with green on it? white pants and white shirt? Brandolyn Patter, 12/31/ :27 AM Comment [4]: Skip for now. 28. Erika s Halloween bag contains 3 Startwists, 2 Murky Ways, and 5 packages of Kettles. Her brother s bag contains 4 Snooks, 1 package of Kettles, and 3 Twigs bars. You are blindfolded and must pick one candy from each bag. Give the chances of obtaining each of the following. a. two bags of Kettles b. a Startwist and a Twigs c. a Snook and a Murky Way d. two Startwists 29. These spinners will be used in a game run by Leadership class on Carnival Day. The first spinner shows the prizes and the second spinner shows the size of each item the person spinning will get. Rice Pieces Vittles king size Healthy Bar regular

9 a. What is the probability of spinning a Murky Way? Show work. b. What is the probability of spinning king size? Show work. c. Make a probability table to show the probability of getting the various sized candy prizes. d. Regina loves Healthy Bars and Murky Ways. She is also generous and would share candy with her best friends if she won a king size bar. What is the probability that Regina will win either a king size Healthy Bar or a king size Murky Way? Show work. e. Tashi is ordering the prize candy for this Spinner game. Of what type and size of candy should she order the most? What is the probability of winning this type and size? Brandolyn Patter, 12/31/ :23 AM Comment [5]: Skip for now. 30. Calculate the area of the shape below. Do you see rectangles or other shapes within this shape? If so, what? Does that help you? Eplain Use the order of operations to simplify. a b. 2(14 9) (17 14) c. 16(2 1) d.

10 32. Jack s car used 18 gallons of gasoline to go 468 miles. At that rate, how many gallons would be used to go 754 miles? Eplain how you know. 33. Eight kids got to go to the water park for $60. How many students could go for $195? Eplain how you know. 34. Calculate the following. a (1 1 2 ) b (2 1 3 ) c (3 3 4 ) d (8 3 4 ) 35. Complete the table and find the rate of change y = Bai bought balloons for each of her 15 friends. If she spent $ 3.25 per balloon, how much did she spend?

11 37. Compute: a. ( 1 4 )3 b. ( 3 7 )2 c. ( 6 3 )2 d. ( 2 3 )4 38. Which is larger, or 1 2 3? How do you know? Eplain. 39. On the side of the pancake mi bo you will find the following table: Pancakes Mi Water cup 4 cup cups cups a. If you wanted to make 30 pancakes how much mi and how much water would you need? Why? b. If you wanted to make 22 pancakes, how much mi and how much water would you need? Why? 40. Samantha was looking for two integers that have a sum of 2 and a product of 3. She said 3 and 1. What conclusion can you make about her answer? A. Her answer is correct. B. Her answer is incorrect because the sum is not 2 C. Her answer is incorrect because the product is not 3. D. Her answer is incorrect because neither the sum nor the product are correct. 41. To pass the time while driving to the beach (an 11 hour trip for them!), Davis and Tess play a Guess my number game. Davis gives Tess the following 8 clues: My number is:

12 A three-digit whole number Divisible by 5 Even Each digit is different Its tens digit is greater than its ones digit Its hundreds digit is greater than its tens digit Less than 400 Divisible by 3 Tess figures it out, can you? Eplain how your number satisfies all the clues. Be complete and clear! 42. For each of the following, find the number that would make the equation true. a. 27 = ( 9) b. + 4 = 15 c. 7 = 21 d = Ale can decorate 4 cupcakes in 15 minutes. How many cupcakes can he decorate in 60 minutes and how do you know? 44. How much ta you pay when you buy an item, depends on which state you live in. a. In Arkansas the ta rate is 6%. Convert this percent to a fraction. b. The ta rate in California is 7.25%. Convert this percent to a decimal. c. Hawaii s ta rate is a small 4%. Convert this to a decimal. d. The ta rate in Maine is about average: 5%. Convert this to a fraction. 45. Calculate. a = b = c = d =

13 46. Circle all the fractions below which are equivalent to , 77 24, 27 24, 35 20, 14 11,1 3 4,1 9 12

14 47. What equation could be used to calculate 45% of 200? A = 100 B. 200 = C. 45 = D = Brandolyn Patter, 12/31/ :24 AM Comment [6]: Skip for now 48. Bamboo is a fast growing plant. One type, Black Bamboo, grows at a rate of 11 cm per month, while another, Golden Bamboo, grows at a rate of 1.2 meters per year. Which bamboo grows faster? Why? Brandolyn Patter, 12/31/ :25 AM Comment [7]: Skip for now 49. State if each statement below is true or false and eplain why. Use the names of properties when possible. a = b = c = d. (12 + 8) + 20 = 12 + (8 + 20) 50. Calculate the following. a b. 3 ( 7) c. 3( 2) 4( 3) 51. Simplify: a (2 + 4) + 10 b

15 52. What is the area of the shape shown? Clearly show how the area of each triangle and rectangle was calculated. All units are in feet Jumping Jeremy needs to create a pen for his pet frog, Froggie. Jeremy plans to use the fencing he already has, and not purchase any more. This means he has only 10 feet of fencing with which to work, and he wants the pen to have square corners (no circular or triangular pens). a. Draw at least three different pens that Jeremy could build under these conditions. b. For each pen you drew, calculate the perimeter and the area of each. c. Does one pen seem to be "better" than the others? Why or why not? Eplain completely. 54. In a game of chance, Scott can win in two different ways. One way is by rolling either a 2 or a 4 with a standard die. The second way is to land on a 3, 4, or 5 on the spinner with eight equally likely sections numbered from one to eight. Scott thinks he has a better chance with the spinner because he has three numbers that will win instead of only two. Is he correct? What is the probability of winning with the die? What is the probability of winning with the spinner? Which should he choose?

16 55. Vic has 3 pairs of pants, blue, brown and black. He has 2 dress shirts, white and striped. He can also wear a yellow or green tie. a. Draw a tree diagram to show the possible combinations of the pants, shirt and tie. b. If he chooses his outfit randomly, what is the probability that he will get his black pants and his striped shirt? c. If he chooses his outfit randomly, what is the probability he will get blue pants, white shirt and green tie? Brandolyn Patter, 12/31/ :25 AM Comment [8]: Skip for now 56. According to the scale on a map, 1 inch on the map = 16 miles. How many inches on the map would represent 24 miles? 57. Mr. Olson has called on these students in class: boy, boy, girl, boy, girl, boy, girl, girl, boy, boy Based on this data, what is the probability that the net student called on will be a boy? A. 0.6 B. 0.5 C. 0.4 D. None of these 58. A sandwich is made with either wheat or white bread and then a choice of turkey, roast beef, tuna fish, or cheese. Make either a list or a tree diagram that shows all the possible sandwiches that can be made with one kind of bread and one topping. How many sandwiches are possible? Brandolyn Patter, 12/31/ :25 AM Comment [9]: Skip for now.