Math 7 Study Island Winter Packet

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1 Math 7 Study Island Winter Packet 1. Indicate which property is illustrated in Step 2. Step =(3.9)-(12-1) Step 2 =(9-3)- (1.12) Step 3 ;27. (1 12) Step 4 =27-12 O A. commutative property of multiplication C~B. identity property of multiplication O C. distributive associative property of addition 2. The table below shows the cost fo{ a factory to produce mid-sized cars. Number of Cars Produced Cost 0 $ $14, $24, $29, $39, Based on the information in the table, how much does it cost the factory to produce each car? C~A.$4, $5, $2, O D.$14, Simplify the following expression. (2~ A. 86x- 72 C~ B. 86x+ C. 10x+ 84 (.)D. 10x- 72 (48x + 78) - (-38x + 6) Edmentum -Alt rights reserved.

2 4. An item is priced at $ If the sales tax is 8%, what does the item cost including sales tax? ~, A. $1.06 O C. $27.46 O B. $14.26 O 1)- $ Indicate which property is illustrated in Step 3. Step 1 Step 2 Step 3 =1 -t-18 ~g 4-18 O A. inverse property of addition O B. associative property of addition O C. inverse property of multiplication O D. identity property of addition 6. Shawn is typing a paper for class. He can type Shawn type in one hour? 1 ~ pages in ~ofan hour. How many pages can OA. 4~ 1 3 oc.l~ O1).6 7. Indicate which property is illustrated in Step 4. Step 1 Step 2 Step 3 Step 4 0 A. identity property of addition O B. identity property of multiplication 0 t2. distributive property ~," ~ D. inverse property of multiplication =(3.9)-(11.1) = (9-3)- (1.11) = 27. (1.11) = Edmentum - All rights reserved.

3 2 8~ S,hawn is typing a paper for class. He can type 1 ~ pages in ~ of an hour. How many pages can Shawn type in one hour? 9. A city is building a fence around a rectangular playground. If the perimeter of the playground is 90 feet and the length ofune side of the fence is 28 feet, what is the width of the playground? O A. 34 feet O B. 45 feet za C. 17 feet (2- D. 62 feet 10. -I ~ich of the ~tlowing n~ber lines shows the co~ect sum of the n~ber ~ove and -~? II IIIIIIIIIIIIll[llllllllllllll -1 _ OC. -1 ~ o I 2 7 ~. -~ o 2 ~ ~ W... Copyright 2013 Edmentum - All rights reserved.

4 11. Indicate which property is illustrated in Step 2. Step 1 Step 2 Step 3 Step 4 O A. commutative property of multiplication O B. associative property of addition 5+(I +9)+0=5+(9+ 1)+0 =(5+9)+(1 +0) =(5+9)+1 C. associative property of multiplication,.~ ~" D. commutative property of addition 12. Selene s checking account balance was -$32, and then she withdrew $45 more. What is her checking account balance after the withdrawal? 0 A. -$13 O C. -$77 OB.$13 ~ "~" D. $ Use properties of operations to find the quotient A O C B. - OD. -ff 14. A TV that usually sells for $ is on sale for 20% off. If sales tax on the TV is 9%, what is the price of the TV, including tax? O A. $ O B. $ Indicate which property is ilhistrated in Step 1. Step 1 Step 2 Step 3 Step 4 O A. associative property of addition ( ) B. associative property of multiplication 0 C. $ O D. $ ,1 -(4-9), (4,1) :(9-4)- (1 4) =36-(1-4) =36-4 O C. distributive property O D. commutative property of multiplication Copyright 2013 Edmentum - All rights reserved.

5 16. Simplify the following complex fraction. OA ? O c. 1o4 OB.I~ 0D Bertha and Vernon are competing in a diving competition. Bertha s dive ended -24 m from the starting platform. Vemon s dive ended -4 m from the starting platform. How many times farther was the end of Bertha s dive than the end of Vemon s dive? OA. 6 OC. 20 O B. -6 O D A line passing through which of the following pairs of coordinates represents a proportional relationship? O A. (2, 5) and (5, 10) O B. (4, 5) and (8, 10) O C. (4, 5) and (8, 7) 0 D. (2, 5) and (4, 7) 19. A company policy reqnires that, for every 50 employees, there must be 3 supervisors. If there are 276 supervisors at the company, how many employees does the company have? 0 A. 2,300 0 C. 5,520 0 B. 4,600 0 O. 4, Simplify the following complex fraction OC. 6 1_0 oo. 7 Copyright 2013 Edmentum - All rights reserved.

6 21. Use properties of operations to find the quotient O A. -~ O C. -g OB. -5 OD. -~ 22. Simplify the following complex fraction ~ OA. 4 OC. 18 2_~_~ 1~ O B. IS 0 D A line passing through which of the following pairs of coordinates represents a proportional relationship? O a. (1.25, 2.5) and (3.75, 7.5) O B. (1.3, 3.3) and (2.3, 4.3) O C. (1.25, 2.25) and (2.5, 5) O D. (2.5, 5) and (3, 5.5) 24. Vv"nich algebraic expression is equivalent to the expression below? 0 A. 21x + 20 OB. 7x+8 7(3x + 5) - 16 ~ C. 21x + 19 OD. 21x Edmentum - All rights reserved.

7 25. The number of students enrolled in each class at an elementary school is shown on the graph below. Y Students in Classes m 40 I0 ~ S C~lsses Based on the graph, what does the point (2, 40) A. 40 students in 2 schools,~3 B. 2 students in 40 classes ~) C. 2 students in 40 schools () D. 40 students in 2 classes 26. Which of the following tables represents a proportional relationship? x ()A. y o B. x 20[ y ,x OC. y OD. lx y Copyright 2013 Edmentum - AR rights reser~led.

8 27. 0 i 2 3 Which of the following number lines shows the correct sum of the number above and -0.76? -0,14 IIIIIIIIIIIIIIIIIIIIIII ~ OC." I 0 i I I 28. Which algebraic expression is equivalent to the expression below? (Sx + 12)- 7 OA. Sx+5 O C. 20x- 7 OB. Sx+ 19 O D.~0x A small tree was planted at a height of 8 feet. The tree has been planted for 16 months, and is now 62.4 feet tall. Which equation could be used to find x, the average number of feet the tree grew each month? 16x = x + 8 = 16 (.~ A. 0 C. O B. 16x+ 8 = D. 8x+ 16 = 62.4 Copyright 2013 Edmentum - Al! rights reserved.

9 John and Liz are sharing a large pizza. John ate ~of the pizza, and Liz ate ~of the pizza. How much of the pizza is left? 31. Travis is using pieces of wood that are 8.3 feet long to frame a garage. He has a total of feet of wood. 8.3x= How many 8.3-foot long pieces 0fwood does Travis have? OA. 19 OC. 17 OB Which of the following can be added to the number indicated on the number line above to sum to 0? O A. ~ ~,*" C. -8 f! OB. --g OD A cruise ship can cover 18 nautical miles in 306 minutes. How many nautical miles will it travel in 102 minutes? OA. 6 OI2-8 OB. 10 OD Simplify the following expression. r,. A. -l"0x + 29 O B.-10x+ 89 (20x- 30) + (50x + 59) O C. 70x+29 O D. 70x+ 89 Copyright 2013 Edmentum -All rights reserved,

10 35. An apartment building enrrenfly has rented x apartments with two occupants and 18 apartments with one occupant. The apartment building has 88 total occupants. 2x+ 18 = 88 How many double-occupancy apartments are currently rented? OA. 53 C) C. 26 OB. 70 OD Heidi drove to visit her friend one summer. The miles she traveled are shown on the graph below. Niles Tra,~eled 225 ~/~,,, ~ L ~L] i ~ i 3.75 ~ --...± 4... ~ 3_25...:t i -; ~... ~ i i ( _0 Hours What is the unit rate of miles driven per hour? O A. 25 miles per hour O C. 100 miles per hour () B. 50 miles per hour 0 D. 75 miles per hour 37. Which of the following tables represents a proportional relationship? A. x y x y x y x ~ I y ~ Copyright 2013 Edmentum - All rights reserved.

11 38. Which of the following graphs represents a proportional relationship? Y y / i-i i,a i I i! L ia~l_~/l d..~...,... ~ W Y OA.Y OB.X 39. Amber is on a family cell phone plan with the other 2 members of her family. The family gets 558 shared cell phone minutes a month, and each family member is limited to his or her equal share of the minutes. The only free calls are calls between family members. How many minutes per day can Amber talk on her cell phone with her friends during a 31-day month, without going over her share of the minutes? {}A. 5 O C. 186 OB. 18 OD. 6 Copyright 2013 Edmentum - All rights reserved.

12 What is the length of the red line segment on the number line? Q) A O C ~ B O D The graph below shows the hourly pay for employees at a hamburger stand. Based on the graph, what does the point (3, 45) represent? 0 A. Employees earn $3 in 45 hours. O B. Empteyees earn $45 in 3 hours. (. ~ C. Employees earn $45 in 3 days. () D. Employees earn $3 in 45 days. 42. An item is priced at $ If the sales tax is 5%, what does the item cost including sales tax? O A. $0.65 O B. $13.69 C. $19.56 O D. $26.73 Copyright 2013 Edmentum - All rights reserved.

13 43. Over the summer, for every 11 okra seeds Dana planted, 6 grew into plants. If he planted 143 okra seeds, how many grew into plants? ~ A C. 63 ~..,~ B. 138 O D Selene s checking account balance was -$32, and then she withdrew $40 more. What is her checking account balance after the withdrawal? O A. -$8 O c. $8 ~ B. -$72 O D. $ John and Liz are sharing a large pizza. John ate 2of the pizza, and Liz ate gofthe pizza. How much of the pizza is left? OA.~ OC.S S t ~3 1 2 Which of the following can be added to the number indicated on the number line above to sum to 0? 47. Simplify the following expression. OA.~- 1 ~+_T 37 OB.S ~ D. 27 Copyright 2013 Edmentum - All rights reserved.

14 48. Indicate which property is illustrated in Step 1. Step 1 5+(4+8)+0=5+(8+4)+0 Step 2 =(5+8)+(4+0) Step 3 =(5+8)+4 Step 4 =13+4 O A. associative property of multiplication O B. commutative property of addition O C. associative property of addition O D. commutative property of multiplication 49. Which o~the following is equivalent to the expression below? OA. 7 (_) B x 0C. ll O D x (11 +7x)- 7x 50. Bertha and Vernon are competing in a diving competition. Bertha s dive ended -20 m from the starting platform. Vemon s dive ended -4 m from the starting platform. How many times farther was the end of Bertha s dive than the end of Vernon s dive? O A. -5 OB. 16 OC.5 0D.-16 Copyright 2013 Edmentum - All rights reserved.

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

INTRODUCTORY ALGEBRA/GRACEY CHAPTER 1-2.3 PRACTICE Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Evaluate the algebraic expression for the