Central Bucks School District Algebra 1A – 7th and 8th Grade: Skills Review Packet
Name ______Date______
Section A: Integers
Perform the operation.
1. −5 + 12 2. 9 + (−11) 3. −3 + 13
4. −4 + (−16) 5. −3 + (−4) 6. 14 + (−5)
7. −10 + (−15) 8. −13 + 9 9. 18 + (−18)
10. −25 + (−9) 11. 5 − 8 12. −4 − 6
13. −8 − (−3) 14. 10 – 7 15. −8 − 13
16. 15 − (−2) 17. −9 − (−13) 18. −7 − (−8)
19. −6 − (−6) 20. −10 − 12 21. 8⋅ (−5)
22. −1⋅ (−12) 23. −5(10) 24. −13(0)
25. −9 ⋅ 9 26. 15(−2) 27. −10⋅ 11
28. −6⋅ (−13) 29. 7(−14) 30. −11⋅ (−11)
31. −15/−5 32. 54/−9 33. −33 ÷ 11
34. −49 ÷ (−7) 35. 0 ÷ (−2) 36. 60 ÷ (−6)
37. −56/14 38. 18/0 39. 65/−5
40. −84/-7
1 Central Bucks School District Algebra 1A – 7th and 8th Grade: MS Summer Review Packet
Section B: Fraction and Decimal Operations
Add, subtract, multiply, or divide. Show your work!
41. 42.
43. 44.
45. 46.
47. 48.
49. 50.
51. 52.
53. 112.5 + 24.52 54. 5.7 – 4.81
55. 20 – 12.5 56. 3.02 5.2
57. (1.2)(1.3)(1.4) 58. 65.3 ÷ 10
59. 3.42/0.36
Section C: Percents Central Bucks School District Algebra 1A – 7th and 8th Grade: MS Summer Review Packet Complete the table with the missing values. Fraction Decimal Percent Exampl 0.5 50% e 60.
61. .45
62. 72%
63.
64. 1.2
65. 5%
66.
67. .8
68. 73%
69. .006
70. Of the students in your class, 12% are left-handed. What fraction of the students is left-handed?
71. You delete 1/8 of the messages in your email inbox. What percent of the messages did you delete?
72. You take a test that has 20 questions and you get 80% of the questions correct. How many questions did you get correct?
73. You buy $50 worth of clothes. The sales tax is 8%. How much sales tax do you pay?
74. You are buying a sweater that costs $54. It is on sale for 20% off the original price. What will be the sale price?
Use the formula, I = Prt, where I = interest, P = principal, r = rate (as a decimal), and t = time (in years) to answer the questions #75 and #76. Show your work. Central Bucks School District Algebra 1A – 7th and 8th Grade: MS Summer Review Packet 75. Calculate the amount of interest you would earn if you deposit $500 in a savings account that pays 6% interest over 10 years.
76. Calculate the amount of interest you would pay if you charge $200 on your credit card with 8.5% interest for 3 months.
Section D: Ordering Numbers
Order the numbers from least to greatest.
77. 7, -4, -11, 0, 8, -12 78. 0.5, , 0, 2, 20%, 0.22
Section E: Order of Operations
Use the order of operations to evaluate the expression. Show all your work.
79. 42 ÷ 2 + 3(9 – 5) 80. [8 – (3 + 4 ÷ 2)] + 12
81. 82. 4(32 – 18) ÷ 2
Section F: Scientific Notation
Write the number in standard form.
83. 1.32 × 104 84. 6.5 × 10-3
85. 5.80 × 107 86. 9.1 × 10-5 Central Bucks School District Algebra 1A – 7th and 8th Grade: MS Summer Review Packet Write the number in scientific notation.
87. 4,500 88. .00835
89. 4.7 90. 7,030,000
91. .032
Section G: Ratios, Rates & Proportions
A ratio is a comparison of two quantities using division. ¾, 3 to 4, 3 : 4
A rate is a ratio of two quantities with A rate with a denominator of 1 is called different units. a unit rate. Example: 60 miles Example: 30 miles 2 hour 1 hour
Write the ratio as a fraction in simplest form.
92. 25 to 45 93. 63 : 28 94. 35 girls : 15 boys
95. 2 feet : 8 feet 96. 16 dogs to 12 cats 97. 51 correct : 9 incorrect
Find the unit rate. 98. 180 miles in 3 hours 99. 256 miles per 8 gallons 100. $9.60 for 4 pounds
101. The table shows nutritional information for three beverages.
A. Which has the most calories per fluid ounce?
B. Which has the least sodium per fluid ounce?
Solve the proportion.
102. 103.
104. 105.