Rising 7th Grade
Lions on the Loose Summer 2015
Summer Math Review Packet
(For Students that have Completed 6th Grade Math Course Two)
Name: _______________________________
St. Luke School Lions on the Loose
Summer Math Review Packet
Dear St. Luke Student, Your middle school math teacher is looking forward to teaching you many math concepts next school year. In preparation for another successful start to a new school year, you must review the concepts and complete all problems included in this packet. The concepts in the packet are those which you should have mastered in your 2014-2015 math class. We encourage you to work each problem carefully and seek assistance for concepts where there is not mastery. The following procedures should be used for completing your summer math packet: 1. Complete all problems. You may answer the problems directly in the math packet showing all work. There will be a significant deduction to your grade for problems where work is omitted. Record your answers on the pages provided at the back of the packet. Make sure your name is written on your math packet. It would be wise to work a couple of pages each week in your math packet instead of waiting until the last minute! 2. NO calculators – all work must be shown when necessary. 3. Your packet will be graded for completion and will serve as an essential skills quiz/test grade for your math class for the first nine week grading period. During the first week of school, an assessment drawn directly from the objectives in this packet will be given. This assessment will serve as a test grade for the first nine week grading period. There will not be a review of the essential skills concepts prior to the test. 4. Your summer math review packet is due on St. Luke’s registration day, August 6, 2015. The same due date as your other Lions on the Loose assignments. Should you have any questions regarding your math packet, please email Mrs. Hatala at [email protected] (7th grade Pre-Algebra teacher). Sincerely, The St. Luke Middle School Math Teachers
St. Luke School Lions on the Loose
Summer Math Review Packet
Dear Parents,
In preparation for another successful start to a new school year, your child must review the concepts and complete all problems included in this packet. The concepts in the packet are those, which your child should have mastered while attending their 2014-2015 math class. The concepts are referred to as the 6th grade essential math skills. Essential skills are developmentally appropriate, basic math concepts that are essential for the student’s understanding of the math being taught. The mastery of them is critical as they are challenged in their 7th grade class.
Our goal is that each student has mastered the skills that we deem essential at the
completion of their present year in school. Therefore, the packet is a review and a way for students to show what they have mastered. We encourage your child to work each problem with great effort. If your child finds an essential skill difficult, please consider extra instruction this summer and working more problems pertaining to the skill. Please encourage your child to work the summer math packet with no guidance, assess, and then perhaps complete the packet a second time. Below are some resources for your child to use in order to facilitate the mastery of each essential skill where they have room to grow. Sincerely, The St. Luke Middle School Math Teachers Resources: www.ixl.com www.khanacademy.org (also an iPad app)
6th Grade
Essential Math Skills Identify, name, and graph integers Compare and order integers Add, subtract, multiply, and divide integers Express terminating decimals as fractions Multiply and divide fractions, whole numbers, and mixed numbers (like and unlike
denominators) Classify triangles Perimeter of polygons Area of parallelograms Plot ordered pairs in quadrant one Solve one step equations (whole numbers) Basic Previously Mastered Skills Add and subtract fractions and mixed numbers with like and unlike denominators;
regrouping required. Multiply decimals by decimals. Divide decimals, including decimal divisors. Use the four step problem solving method to solve multi step problems involving all
essential skills.
Essential Skill: Identify, name, and graph integers
Write the integer represented by the point for each letter.
1. Point A__________ 2. Point D_________
3. Point B__________ 4. Point E__________
5. Point C__________ 6. Point F__________
7. What integer is represented by point G? _________
8. Is -71
2 an integer? _________
Essential Skill: Compare and order integers
Compare the integers. Replace each blank with > or < to make a true sentence.
9. -3 ___ -2 10. 4 ___ -5 11. 7 ___ 9
12. -11 ___ -6 13. -8 ___ 13 14. 21 ___ -21
Order the integers from least to greatest.
15. 1, -1, 5, 3, 0, -4 ______________________________________________
16 14, -2, 0, 12, -36______________________________________________
B C F E A D
G
Order the integers from greatest to least.
17. 2, 7, -1, -6, -11______________________________________________
18. -3, -21, 0, 14, 5 ______________________________________________
Essential Skill: Add, subtract, multiply, and divide integers.
Add or subtract.
19. 9 + (-11) = _________ 20. 4 – (-10) =_________
21. -7 – 6 = _________ 22. -6 + -2 = _________
23. 7 + 9 = _________ 24. -12 + 17 = _________
25. -3 – (-5) = _________ 26. 10 – 12 = _________
27. -20 +5 = _________ 28. -6 - 3 = _________
29. 8 + (-7) = _________ 30. 7 – (-8) = _________
31. -7 + (-2) = _________ 32. -2 – (-10) = _________
33. -10 + 6 = _________ 34. 4 - 6 = _________
Multiply or divide.
35. -8(12) = _________ 36. (-4)(-4) = _________
37. -42 -6 = _________ 38. 12 -2 = _________
39. 7 7 = _________ 40. (-5)(-5)(-5) = _________
41. -12 3 = _________ 42. 36 4 = _________
43. -54 9 = _________ 44. 7 -4 = _________
45. -49 -7 = _________ 46. -27 -9 = _________
47. 8 7 = _________ 48. 5(-6) = _________
49. -10 -2 = _________ 50. 35 -5 = _________
Essential Skill: Express terminating decimals as fractions.
Express each decimal as a fraction in simplest form.
51) .4 = _____ 52) .25 = _____
53) .06 = _____ 54) .17 = _____
Essential Skill: Multiply and divide fractions, whole numbers, and mixed
numbers (like and unlike denominators.)
Multiply. Write each product in simplest form and circle your answers.
55. 1
3 x
1
3 56.
2
3x
1
4
57. 5
6 x
3
5 58.
2
5 x 4
59. 42
3 x
4
7 60. 9 x 3
2
3
61. 3
7 x
5
6 62. 2
1
2x
5
8
63. 2 x 3
4 64. 1
1
2 x 2
1
3
65. 4
9 x
1
6 66. 1
3
4 x 2
3
4
Divide. Write each quotient in simplest form and circle your answers.
67. 2
3 ÷
1
3 68.
1
8 ÷
1
3
69. 6 ÷1
2 70. 2
2
3 ÷ 4
71. 3
4 ÷ 1
1
2 72. 5 ÷ 1
1
3
73. 2
3 ÷ 2
1
2 74. 3 ÷
6
7
75. 5
9 ÷
5
6 76. 4 ÷ 2
2
5
77. 7 1
5 ÷
2
5 78. 3
1
2 ÷
5
8
Essential Skill: Classify triangles
Classify each triangle as acute, obtuse, or right.
79.____________________ 80.____________________ 81.____________________
Classify each triangle as equilateral, scalene, or isosceles.
82.____________________ 83.____________________ 84.____________________
6 cm 6 cm
3 cm
4 in 4 in
4 in
3 cm 4 cm
7 cm
Essential Skill: Perimeter of polygons
Find the perimeter of each polygon.
85.____________________ 86.____________________ 87.____________________
Essential Skill: Area of parallelograms
Find the area of each parallelogram.
88.____________________ 89.____________________
14 cm
17 cm
15 cm 15 cm
8 1
2 m
5 m
3 in
3 in
3 in
3 in
3 in
15 ft
7 ft 6 ft 13 yd
6 yd
14 yd
Essential Skill: Plot ordered pairs in quadrant one
Graph and label each point on the coordinate plane.
90. A(2, 4) 91. B(0,3)
92. C(7, 5) 93. D(3,3)
94. E(6, 0) 95. F(1, 8)
Essential Skill: Solve one step equations (whole numbers)
Solve each equation. Check your solution and circle your answers.
96) -9 + r = -12 97) b – 5 = -9 98) -34 = p + 9
99) m + 7 = -2 100) x - 8 = 13 101) -4 = y – 16
102) t – 7 = -8 103) 36 = -9m 104) -10z = -120
105) 10s = -60 106) 12e = 36 107) -5g = -10
108) 𝑥
8 = 8 109)
𝑛
−5 = -30 110)
𝑎
12 = 3
Basic Previously Mastered Skill: Add and subtract fractions and mixed numbers with like and unlike denominators; regrouping required. Add or subtract. Write each answer in simplest form.
111. 1
3 +
1
3 112.
5
9 -
2
9
113. 3
8 -
1
12 114.
6
7 +
9
14
115. 22
3 + 4
1
9 116. 7 - 6
4
9
117. 63
8 + 7
1
8 118. 5
1
2 - 3
1
4
119. 172
9 - 12
1
3 120. 18
1
4 - 3
3
8
Basic Previously Mastered Skill: Multiply decimals by decimals.
Multiply. Show your work.
121. 0.43 0.2= _________ 122. 8.59 14.7= _________
123. 10.04 8.4= _________ 124. 5.8 11.6= _________
125. 19.64 0.2= _________ 126. 7.8 0.2= _________
127. 9.9 7.4= _________ 128. 10.9 19.8= _________
129. 1.067 12.246= _________ 130. 1.9 10.994= _________
Basic Previously Mastered Skill: Divide decimals, including decimal divisors.
Divide. Show your work. Round the quotient to the nearest hundredth when necessary.
131. 26.5 5 = _________ 132. 70.7 35 = _________
133. 685.8 54 = _________ 134. 280.32 32 = _________
135. 3.5 .5 = _________ 136. 6.8 3.3 = _________
137. 12.9 10.9 = _________ 138. 26.9 5.57 = _________
139. 8.538 1.423 = _________ 140. 3.068 4.4 = _________
Basic Previously Mastered Skill: Use the four step problem solving method to
solve multi step problems.
141. Susan wants to fence in her garden. The garden has a length of 12 ½ feet and a width of 8 ½ feet. How much fencing will she need? ____________________
142. Mount Everest, the tallest mountain on Earth, is 8,872 meters tall. Olympus Mons, the
tallest mountain on Mars, is 23,775 meters tall. How many times taller is Olympus Mons
than Mount Everest? Round your final answer to the tenths place if necessary.
____________________
Please write your answers to each problem on the blank provided.
1. ______________ 24. ______________
2. ______________ 25. ______________
3. ______________ 26. ______________
4. ______________ 27. ______________
5. ______________ 28. ______________
6. ______________ 29. ______________
7. ______________ 30. ______________
8. ______________ 31. ______________
9. ______________ 32. ______________
10. ______________ 33. ______________
11. ______________ 34. ______________
12. ______________ 35. ______________
13. ______________ 36. ______________
14. ______________ 37. ______________
15. ______________ 38. ______________
16. ______________ 39. ______________
17. ______________ 40. ______________
18. ______________ 41. ______________
19. ______________ 42. ______________
20. ______________ 43. ______________
21. ______________ 44. ______________
22. ______________ 45. ______________
23. ______________ 46. ______________
47. ______________ 71. ______________
48. ______________ 72. ______________
49. ______________ 73. ______________
50. ______________ 74. ______________
51. ______________ 75. ______________
52. ______________ 76. ______________
53. ______________ 77. ______________
54. ______________ 78. ______________
55. ______________ 79. ______________
56. ______________ 80. ______________
57. ______________ 81. ______________
58. ______________ 82. ______________
59. ______________ 83. ______________
60. ______________ 84. ______________
61. ______________ 85. ______________
62. ______________ 86. ______________
63. ______________ 87. ______________
64. ______________ 88. ______________
65. ______________ 89. ______________
66. ______________ #90 Through #95 record answers on the coordinate plane
67. ______________ 96. ______________
68. ______________ 97. ______________
69. ______________ 98. ______________
70. ______________ 99. ______________
100. ______________ 123. ______________
101. ______________ 124. ______________
102. ______________ 125. ______________
103. ______________ 126. ______________
104. ______________ 127. ______________
105. ______________ 128. ______________
106. ______________ 129. ______________
107. ______________ 130. ______________
108. ______________ 131. ______________
109. ______________ 132. ______________
110. ______________ 133. ______________
111. ______________ 134. ______________
112. ______________ 135. ______________
113. ______________ 136. ______________
114. ______________ 137. ______________
115. ______________ 138. ______________
116. ______________ 139. ______________
117. ______________ 140. ______________
118. ______________ 141. ______________
119. ______________ 142. ______________
120. ______________
121. ______________
122. ______________
Answer Key
1. 3 24. 5
2. 9 25. 2
3. -7 26. -2
4. 1 27. -15
5. -4 28. -9
6. -1 29. 1
7. -7 30. 15
8. no 31. -9
9. < 32. 8
10. 4 > -5 33. -4
11. < 34. -2
12. < 35. -96
13. < 36. 16
14. > 37. 7
15. -4, -1, 0, 1, 3, 5 38. -6
16. -36, -2, 0, 12, 14 39. 49
17. 7, 2, -1, -6, -11 40. -125
18. 14, 5, 0, -3, -21 41. -4
19. -2 42. 9
20. 14 43. -6
21. -13 44. -28
22. -8 45. 7
23. 16 46. 3
47. 56 71. 1
2
48. -30 72. 33
4
49. 5 73. 4
15
50. -7 74. 31
2
51. 2
5 75.
2
3
52. 1
4 76. 1
2
3
53. 3
50 77. 18
54. 17
100 78. 5
3
5
55. 1
9 79. obtuse
56. 1
6 80. acute
57. 1
2 81. right
58. 13
5 82. isosceles
59. 22
3 83. equilateral
60. 33 84. scalene
61. 5
14 85. 61 cm
62. 19
16 86. 27 m
63. 11
2 87. 15 in
64. 31
2 88. 90 feet squared
65. 2
27 89. 78 yards squared
66. 413
16 #90 Through #95 see below
67. 2 96. r = -3
68. 3
8 97. b = -4
69. 12 98. p = -43
70. 2
3 99. m = -9
100. x = 21
101. y = 12
102. t = -1
103. m = -4
104. z = 12
105. s = -6
106. e = 3
107. g = 2
108. x = 64
109. n = 150
110. a = 36
111. 2
3
112. 1
3
113. 7
24
114. 11
2
115. 67
9
116. 5
9
117. 131
2
118. 21
4
119. 48
9
120. 147
8
121. 0.086
122. 126.273
123. 84.336
124. 67.28
125. 3.928
126. 1.56
127. 73.26
128. 215.82
129. 13.066482
130. 20.8886
131. 5.3
132. 2.02
133. 12.7
134. 8.76
135. 7
136. 2.06
137. 1.18
138. 4.83
139. 6
140. .7
141. 42 ft
142. 2.67
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