Name___________________ Rising 7th Grade and 7th Advanced Summer Packet Hello rising 7th graders! We hope that you are having a wonderful summer. Mastery of the following concepts will help you tremendously as you begin your 7th grade year. While this packet is optional, you will take a prerequisite skill assessment within the first week of school, and the material on the assessment will come from this packet. It will also be counted as a homework grade. For those of you who would like to preview what you will be learning please visit Preview of 7th Grade from the Georgia Virtual Website. We look forward to meeting you on August 1st. ADDING & SUBTRACTING FRACTIONS & MIXED NUMBERS (Show your work – use another piece of paper, if you need more room) 1 1 2 4 3 1 4 5 1) + = 2 5 3 9 2) + = 5) − = 3 1 4 6 3) 4 6) 7 − 4 = 1 3 +3 3 3 3 8 4 2 1 3 2 4) 6 + 5 = 4 2 7) 5 − 4 = 8) 16 − 7 = 3 ADDING & SUBTRACTING DECIMALS (Show your work – use another piece of paper, if you need more room) 9) 3.6 + 8.23 = 10) 8.95 + 2.6 = 11) 35.09 + 6.4 = 13) 6.25 – 2.48 14) 36 – 4.06 = 15) 2.003 – 1.3 = 12) 6.24 + 3 = MULTIPLYING & DIVIDING FRACTIONS & MIXED NUMBERS (Show your work – use another piece of paper, if you need more room) 16) 3 4 20) 7 4 2 1 × = 17) 2 2 21) 10 ÷ = 9 3 1 ÷1 = 6 7 ×3 = 8 5 6 5 18) 24 × = 6 22) 6 7 19) 6 7 3 ÷ = 3 ÷ = 7 23) 7 5 7 8 3 ÷1 = 4 MULTIPLYING & DIVIDING DECIMALS (Show your work – use another piece of paper, if you need more room) 24) 2.42 ● 3.2 = 25) 32 ● 2.06 = 28) 7.3 ÷ 1.2 = 29) 24 ÷ 1.2 = 26) 6.2 ● 4.2 = 30) 0.3 ÷ 2.69 = 27) 0.34 ● 5 = 31) 4.5 ÷ 25 = SOLVING ONE-STEP EQUATIONS (Show your work – use another piece of paper, if you need more room) 32) 12 = x – 3 𝑥 35) 3 = 34) x – 19 = 7 33) 14 + x = 27 36) 12 = 8 𝑥 37) 4x = 28 3 38) 12x = 108 SOLVING PROPORTIONS: (Show your work – use another piece of paper, if you need more room) 2 𝑥 5 10 39) = 43) 10 ℎ = 1 𝑧 3 15 40) = 5 44) 6 𝑤 9 = 3 𝑠 8 16 𝑡 3 8 4 41) = 6 45) = 18 4 1 𝑟 4 42) = 46) 𝑘 5 CONVERT DECIMALS, FRACTIONS, & PERCENTS: DECIMAL FRACTION IN SIMPLEST FORM 49) PERCENT 50) 3.45 51) 52) 3 8 53) 54) 5% 55) 56) 13 20 ORDER FROM LEAST TO GREATEST: 5 57) , 1.2, 12% _________ 58) 6 3 59) , 0.75555…, 76% ___________ 4 60) 9 15 12 9 , 1.3, 13% ___________ , 𝑂. 66, 6% ___________ = 9 15 GEOMETRY: 61. What is the volume and surface area of a rectangular prism with a height of 5 cm, a width of 8 cm, and a length of 9 cm? VOLUME________ SURFACE AREA_________ 62. Find the area of the figure shown below. 4 ft 10 ft 6 ft 12 ft Other: 62. Play a card game using a standard 52 card deck. What game did you play? __________________________ a. Name the suites in your deck of cards: ______________ ______________ _______________ ____________
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