7th Grade 2015 Summer Packet (Part 1, 96 Questions)

Transcription

1 7th Grade 2015 Summer Packet (Part 1, 96 Questions) Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Evaluate c d Find. 50 c d NUMBERS A number is squared and then 5 is subtracted from the result. The final answer is 44. What is the number? 5 c. 7 6 d. 8 Solve each equation x = 10 6 c. 8 7 d = n 41 c. 7 8 d = c. 9 5 d Name the property of multiplication shown by 6 4 = 4 6. Associative c. Distributive Commutative d. Identity 8. Use the Distributive Property to write 2(5 + 3) as an equivalent expression. Then evaluate the expression. 2(8); 16 c. 2(5) + 3; 13 2(5) + 2(3); 16 d. (5 + 3)2; Name the property of addition shown by = 3. Associative c. Distributive Commutative d. Identity Identify the next three terms in each sequence , 8, 12, 16, 18, 20, 21 c. 20, 24, 28 18, 22, 26 d. 32, 48, , 7, 13, 19,. 133, 931, 6517 c. 25, 31, 37 26, 33, 40 d. 19, 25, 31

2 12. Evaluate 3. 3 c. 3 0 d Evaluate c. 0 9 d Write the integers represented by S and T on the number line. S, 4; T, 2 c. S, 4; T, 2 S, 2; T, 4 d. S, 2; T, OCEANOGRAPHY A turtle dives towards deeper water at a rate of 8 inches per second. It continues for a total of 15 seconds. Which expression represents this situation? 15( 8) c ( 8) d. 15 ( 8) 16. What value of z makes 14 3 = z a true sentence? 17 c d. 17 Use the graph to name the ordered pair for each point. 17. J (0, 2) c. (0, 2) ( 2, 0) d. (2, 0) 18. M ( 3, 3) c. (3, 3) ( 3, 3) d. (3, 3) 19. MONEY Marisa has $26 in her purse. She pays $5 for lunch. Which expression represents this situation? 26 + ( 5) c ( 5) d Add, subtract, multiply, or divide ( 7) 15 c. 1 1 d ( 6) 42 c d. 42

3 ( 9) 9 c. 2 2 d c d ( 3) 2 9 c. 1 6 d. 9 Evaluate each expression if a = 4, b = 6, and c = a 6 c d bc 6 c. 5 6 d c. 2 6 d b 54 c. 3 3 d WORLD RECORDS To break a world record, a chess player played at average of 1 game every 3 minutes. At this rate, about how many games did he play in 45 minutes? 9 games c. 30 games 15 games d. 135 games Solve each equation. Check your solution n = 2 11 c. 2 7 d = y c. 4 4 d t 26 = c. 5 5 d = 7d 8 c d z = 12 2 c d. 72

4 35. Find the perimeter of the figure. 45 ft c. 16 ft 28 ft d. 14 ft 36. DRIVEWAYS Find the area of a rectangular driveway with a length of 10 meters and a width of 3 meters. 49 m 2 c. 26 m 2 30 m 2 d. 13 m 2 Choose the correct algebraic expression for each phrase. 37. s decreased by 10 s + 10 c. 10 s s 10 d s 38. thirteen times y y _ 13 c y 13y d. y twelve more than z 12z c. z z d. 12 z Choose the correct algebraic equation for each sentence. 40. Twenty is a number minus = 5 r c. 20r = 5 20 = r 5 d. 20 = r x + 3 = c. 3 4 d x + 1 = c d Find the GCF of 12t and 18t. 6t c. 6 3t d Write as a decimal. 8.0 c

5 45. SHOPPING Coats are on sale for 23% off. Write 23% as a decimal c d Which is 0.25 written as a percent? % c. 25% 2.5% d. 250% 47. Write as a fraction in simplest form. 48. Write as a percent. 3.5% c. 35% 6% d. 60% 49. Write 75% as a fraction in simplest form. Replace each to make a true sentence > c. = < d. > c. = < d. 52. Find the least fraction. 53. Estimate c. 3 4 d Estimate c. 3 4 d. 2

6 Add, subtract, multiply, or divide. Write in simplest form c. 20 d d Solve each equation. Check your solution. c. d l = = 61. n = 1 4 c. 1 d. 0 2 c d. 50

7 62. GEOMETRY Find the perimeter of the figure. 6 ft c. 7 ft 6 ft d. 7 ft 63. Write the ratio 21 inches to 3 feet as a fraction in simplest form. 64. Are the ratios 85 tables to 18 chairs and 17 tables to 3 chairs equivalent? Explain. c. Yes; =. No; =. Yes; =. 65. Find the rate of $17.40 for 12 pairs of shoelaces as a unit rate. $2.09 per pair c. $1.37 per pair $1.45 per pair d. $0.69 per pair d. No; mm = m c d. 732,000 READING Use the line plot. is in simplest form. 67. What is the range of data? 10 c. 5 8 d What is the mode of the data? 10 c. 5 9 d How many students read more than 4 books? 3 c. 8 5 d. 10

8 WEATHER Use the table. It shows the monthly average rainfall in Phoenix, Arizon 70. Find the mean mm c. 27 mm 21 mm d. 222 mm 71. Find the median. 18 mm c. 21 mm 18.5 mm d. 27 mm 72. Find the mode mm c. 27 mm 21 mm d. 30 mm Use the stem-and-leaf plot. 73. The stem-and-leaf plot represents which of the following data? c d What is the range of the data? c d Use the data set $8, $10, $15, $8, $12, $13, $8 and $11. Which measure of central tendency would you use to convince people your prices are low? none of these c. median mean d. mode 76. If you can choose a meat, a vegetable, and a beverage from 3 kinds of meat, 2 kinds of vegetables, and 4 kinds of beverages, how many different combinations can you have? 9 c d A bag contains 3 orange, 5 black, and 2 white marbles. Two marbles are drawn, but the first marble is not replaced. Find P(white, then black). 78. The measure of an angle is 45. Classify the angle. acute c. obtuse straight d. right

9 79. ALGEBRA If P and Q are complementary and the measure of P is 40, what is the measure of Q? 40 c d Classify each pair of angles. 81. complementary c. right supplementary d. no relationship complementary c. right supplementary d. no relationship 82. Which figure is a polygon? 83. Which figure is a regular polygon? 84. Find the value of x in the pair of similar figures. 4 c. 2 3 d Classify the quadrilateral using the name that best describes it. square c. trapezoid parallelogram d. rhombus

10 86. Classify the triangle by its angles and by its sides. acute, equilateral c. obtuse, isosceles right, equilateral d. obtuse, equilateral 87. Classify the quadrilateral using the name that best describes it. rhombus c. square rectangle d. trapezoid 88. Which regular polygon can be used by itself to make a tessellation? pentagon c. square octagon d. decagon 89. Choose the figure that shows all lines of symmetry drawn correctly. 90. ART An artist is using right triangles in her design. If all the triangles have an angle measure of 24, what is the measure of the third angle? 66 c d POOLS A rectangular pool is 6 feet long by 4 feet wide and 6 inches deep. What is the volume of the pool? 12 ft 3 c. 168 ft ft 3 d. 296 ft Find the area of each figure. Round to the nearest tenth if necessary. 47 m 2 c. 75 m 2 60 m 2 d. 165 m 2

11 m 2 c. 144 m m 2 d. 2,560 m 2 Find the circumference of each circle. Use 3.14 for π. Round to the nearest tenth ft c ft 31.4 ft d. 314 ft 95. radius = 6.7 mm 2.1 mm c mm 21.0 mm d mm 96. Identify the shape of the base of the figure. circle c. triangle square d. (no base)

12 7th Grade 2015 Summer Packet (Part 2, 104 Questions) Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Estimate to the nearest whole number. 9 c. 7 8 d Find the surface area of the rectangular prism. 136 mm 2 c. 68 mm 2 80 mm 2 d. 32 mm 2 3. Find the surface area of a cube with 9-centimeter edges. 81 cm 2 c. 324 cm cm 2 d. 486 cm 2 4. What is the value of the expression when? 16 c d Which variable expression represents the phrase the sum of a number and 11? 6. Which expression is equal to 4 4 4? c. d. 7. Evaluate the expression when. 15 c d What is the value of? 8 c d Evaluate the expression when and. 16 c d. 60

13 10. Which list of integers is in order from least to greatest? 5, 2, 3, 6 c. 6, 3, 2, 5 3, 6, 2, 5 d. 6, 5, 3, Which expression has a value of 3? 12. Find the sum Evaluate the expression when Find the difference Find the change in temperature from F to F. F c. F F d. F 16. Which expression has a value of? 17. Which expression has a positive value? c. d. 18. What are the coordinates of point A on the coordinate plane shown?

14 19. In which quadrant is the point (4, 1) located? Quadrant I c. Quadrant III Quadrant II d. Quadrant IV 20. Which equation illustrates the commutative property of addition? c. d. 21. Which expression is equivalent to? c. d. 22. In which expression is 2 a constant term? c. d. 23. Which terms are like terms? and and c. and d. 6 and 24. Which equation represents the sentence The product of 12 and p is 60.? c. d. 25. Which question corresponds to the equation? What number minus 10 equals 2? What number divided by 10 equals 2? c. The product of what number and 10 is 2? d. The sum of what number and 10 is 2? 26. What is the solution of? c. 7 d. 23

15 27. What is the solution of? c. 12 d What is the solution of? 3 14 c. 28 d What is the solution of? c. 6 d What is the value of x for the triangle shown with a perimeter of 10.1 feet? 2.8 ft 3.2 ft c. 3.8 ft d. 7.3 ft 31. What is the solution of the equation? 6 c d What is the solution of the equation? 1 c d What is the solution of the equation? 5 c d What is the solution of the equation? 1 c. 3 2 d. 6

16 35. What is the solution of the equation? 2 c d Find the length of a side of the square. 3 units c. 7 units 6 units d. 10 units 37. You can spend up to $20 at the fair. Which inequality represents this situation? 38. Which inequality is represented by the graph? 39. What is the solution of? 24 c d Which inequality is equivalent to? 41. What is the solution of the inequality? 42. Which is the perimeter of a rectangle with length 18 cm and width 8 cm? 26 cm c. 104 cm 52 cm d. 144 cm 43. Which expression is the prime factorization of 48? 44. Which number is a prime number? 15 c d. 43

17 45. What is the greatest common factor of 6 and 15? 1 c. 3 2 d Which numbers are relatively prime? 2, 8 c. 8, 15 5, 20 d. 9, Which fraction is equivalent to? 48. Which fraction is not in simplest form? 49. What is the least common multiple of 6 and 10? 2 c d What is the LCD of? 3 c. 9 6 d Find the product. 52. Find the quotient. 53. Which expression is equivalent to?

18 54. Which expression is equivalent to? 55. The distance between the Earth and the Sun is about 93,000,000 miles. What is this distance in scientific notation? 56. What is in standard form? Which shows 600,000 using a power of 10? 58. Which shows? 59. Which decimal is equivalent to? 0.6 c Which number is greater than 1.5? 61. Which equation can be used as a counterexample to the sum of any number and 2 is an even number? 62. Find the difference.

19 63. Simplify the expression. 2 d. 64. A walking trail is mile long. You have walked mile from the start. How much farther do you have to walk to reach the end? mile c. mile mile d. mile 65. Find the sum. 66. Find the product. 67. Find the product. 68. Find the quotient. 69. What is the reciprocal of? 3

20 70. What is the solution of the equation? 71. What is the solution of the equation 0.02x = 0.24? 0.04 c d What is the solution of the inequality? 73. Which is the distance from points and on a number line? Evaluate. 75. An insect is traveling at a rate of 40 cm per minute. About how many inches per minute does it travel? 12 inches per minute 16 inches per minute c. 37 inches per minute d. 102 inches per minute 76. What is the solution of the proportion? 5 c d What is the solution of the proportion? 2.5 c d. 90

21 78. If you can buy 5 pounds of pasta for $8, how many pounds of pasta can you buy for $20? 1.6 pounds c. 32 pounds 12.5 pounds d. 40 pounds 79. Given, what is the measure of? 80. The rectangles shown are similar. What is the ratio of the lengths of the corresponding sides of MNPQ to STWV? At baseball practice, you made a hit 5 times out of 20 times at bat. Using experimental probability, predict the number of times you would make a hit out of 60 times at bat. 15 times 24 times c. 36 times d. 40 times 82. What is as a percent? 4% c. 40% 14% d. 44% 83. What is 75% as a fraction in simplest form? 84. What number is 10% of 20? 2 c d. 12

22 85. What is as a percent? 45% c. 85% 80% d. 125% 86. How much is a 15% tip on a $35 meal? $4.20 c. $5.00 $4.90 d. $ What is to the nearest integer? 5 c. 7 6 d A circle has a radius of 6 inches. What is its approximate circumference? 9 in. c. 38 in. 19 in. d. 113 in. 89. A circle has an area of 50 square millimeters. What is its approximate radius? 4 mm c. 16 mm 8 mm d. 25 mm 90. What is the surface area of the prism? 512 ft c. 752 ft 632 ft d. 960 ft 91. You are organizing the following data values in a stem-and-leaf plot. What should the key be for the display? 23, 42, 56, 19, Which statement about the box-and-whisker plot shown is true? The median is 44. The interquartile range is 23. c. Half of the data values lie between 17 and 32. d. Half of the data values are greater than 32

23 93. You have 4 model cars and want to display 3 of them on a shelf. How many arrangement are possible? 4 12 c. 24 d Which shows the comparison of the median for the number of hours spent exercising each week for 5 boys and 5 girls? Boys Girls The median for boys is twice as much c. The median for girls is twice as much as the median for girls. as the median for girls. The medians are the same. d. The median for boys is three times as much as the median for girls. 95. How many females were surveyed? Yes No Male Female c. 127 d You randomly choose a number from 1 through 10. What is the probability that you choose an odd number or a number greater than 6? c. d. 97. There are 2 red markers and 3 blue markers in a drawer. Without looking, you select a marker, keep it out, and select another marker. What is the probability that both markers are blue? c. d. 98. In the diagram,. What is? c. d. 99. If and are supplementary angles, what could their measures be?

24 Use the diagram Which angles are alternate interior angles? 101. Given that, what is? c. d What is the measure of an interior angle of a regular pentagon? c. d Which polygon can be used to make a tessellation if it is the only shape used? 104. How many lines of symmetry does the figure have? 1 2 c. 3 d. 4

25 Part 1: Answer Sheet for 7 th Grade Summer Packet Name 96 Questions To answer, write the letter of your choice on the blank for each question. * Do all work on a separate sheet of paper and attach to this answer sheet to turn in to 8 th grade teacher

26 Part 2 : Answer Sheet for 7 th Grade Summer Packet Name 104 Questions To answer, write the letter of your choice on the blank for each question. Show work on a separate sheet of paper and attach to this answer sheet to give to 8 th grade teacher