WCCS Summer Math Packets School Year. Dear WCCS Students,

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1 WCCS Summer Math Packets School Year Dear WCCS Students, Please complete the summer math packet for the math class you will be taking next school year. Unless you register within two weeks of the beginning of the school year, you are responsible to complete the packet before the first day of school. Your first test grade of the quarter will include 50% completion grade for the summer packet and 50% from a skills assessment given in class at the end of the first week. This packet will be collected from each student the first day back and adequate work must be shown for problems as appropriate. Five points will be deducted for each day the assignment is not turned in to your math teacher. If you have trouble working the problems, look at online resources, ask a friend or parent for help. Problems should be familiar from your previous course of math and help you prepare for success in the next course. In some cases, you may need to refresh your memory as your work through the problems. Please refer to the list of online resources below. There are many more resources and videos available on certain topics if you do an online search. We hope you have a blessed summer! Top Online Resources: Denise Kendrick, dkendrick@wccs.com WCCS Math Department

2 Rising Pre-Algebra Name ID: 1 h y2d0k1r6` EK]uctTaE ksfoefftswjarriel ulglecs._ d ^AclKlv _rhijgrhrtesy WrKe^sNeorzvietdW. Summer Math Packet Round each to the place indicated. 1) ; hundredths 2) 1.996; tenths 3) ; hundredths 4) ; thousandths Write each numeral in words. 5) 97, ) Write each as a numeral. 7) four thousand, seven hundred seventy-eight hundred-thousandths 8) fifty thousand, nine hundred-thousandths Evaluate each expression. 9) 4 + (-8) 10) 8 - (-3) 11) (-4) + (-6) 12) 2 - (-2) Find each product. 13) ) R o2t0c1h6m DKbuYtwav NSRoefVtpwmahrWew flylncw.y b AAYlslt \r^imgfhutfsg VrbeqsleJrZvPeLdm.e T RMbaNdKeC zwhietthc hiuntftiknxiktlem CPzrtez-dAilsgvejbvrBaN. -1-

3 Find each quotient. 15) ) Evaluate each expression. Hint: need a common denominator. Change mixed numbers to fractions. 17) (-1) + ( - 7 5) 18) ( - 3 8) ) ( ) 20) ( ) Find each product. Change mixed numbers to fractions. Reduce then multiply across fractions. 21) ) ) ) Find each quotient. Hint: Leave, change, flip. 25) ) X K2s0Z1G6[ LKJultwao JSIoRfSt]wea[roeT SLNL`Cj.K x \Ajlnlj nr\igglhntisy Nr^elsoewrGv^eid`.q m zmxaadneg lwhidthhm qiqnlfiianzistyeb `PKrVeX-UA[lzgkeHbrrbaW. -2-

4 27) ) Simplify. Your answer should contain only positive exponents. 29) 2n 4n 2 30) 6n 3 6n 2 31) mm 2 32) 3x 8x 4 Evaluate each expression. Follow PEMDAS, watch signs carefully. 33) ) ) 18 (-5) ) Evaluate each using the values given. 37) x - (y + x) - x; use x = 3, and y = -2 38) -5b + a - b; use a = -5, and b = 4 39) k - ( h 2 + h) ; use h = 3, and k = 1 40) p - q 2 - q; use p = 5, and q = 4 x `2\0p1t6\ TKXuwt]az USWotfHtRwyaTrLeY CLQL\C].T o IAXlylE IroixgbhJtnss BrXevsfeqrtv\eCdL.L \ ZMIaMdUe^ ZwhiWtHhH oi\nwffipnqilt`eq tpqrtew-wazlmgretboroah. -3-

5 Simplify each expression. Combine Like Terms. 41) 1 + 4x ) 1-2r + r ) 8r r ) 1-7m - 6 Simplify each expression. Use the distributive property. 45) -9(1-5x) 46) 6(-5x + 9) 47) 8(7m - 5) 48) 4(1 + 10n) Solve each equation. Show inverse operations and work. 49) 10 = -7 + p 50) 10 + b = ) -63 = 7x 52) -54 = -9v 53) 2v - 8 = -2 54) 10x - 8 = ) 6 = 10k ) 7 = 4 + n 5 M K2X0m1D6I FKuuqtqaB VSloDfctiwNaFrNed qlbltcf.w C oavlali xreiygbhztvsx jr]ecs`eerxv_ecdl.i c vmnakdree cwbirtsha GIPnMftiCn^iytheK cporneh-aajl`gsebburrad. -4-

6 Solve each equation. Conbine Like Terms on each side first. 57) -14-2v = v ) -2x + x = x Solve each equation. Use distributive property first. 59) -3(5r - 5) = 75 60) 72 = -4(4 p - 2) Solve each proportion using cross multiplication. 61) n 2 = ) 6 3 = 8 b 63) v 7 = ) 8 2 = 4 x Find the GCF of each. Use factor trees or list method. Show work. 65) 18, 45, 27 66) 30, 45, 15 67) 40, 20, 10 68) 18, 28, 40 Find the LCM of each. List multiples of largest number and find one that 'fits' other numbers. 69) 28, 14, 21 70) 18, 27, 36 y i2[0w1\6d hkau`tvao zsrozfotbwoajreew OLJLLCZ.u ` ^ASlnlI Trfivg`hatps] LrZeZsYelrpv\e`dH.x H UM`a]d[eM zw\iutlh] VIDnyfOignCiOtTef ypurrea-manlugveubirqaf. -5-

7 71) 15, 25, 10 72) 20, 40, 30 Write each as a percent. Remember that percent means "of 100". 73) ) ) ) 3 10 Write each as an algebraic expression. 77) z squared is equal to 34 78) 6 more than n is 47 79) n decreased by 6 is 21 80) the difference of a and 6 is equal to 17 Draw a graph for each inequality. 81) n ³ 6 82) n > ) r < 0 84) r ³ Y O2\0b1Y6f LKYuqtmam tsaolfltfwfaurcez ALULNCt.d a \AhlzlY mrcimgrhytlsc krtegsbegrrvhehdd.e m PMUajdueX fwfiytnhy bipnbfuiunkijtre[ cpdrue]-taplygyeuboreaz. -6-

8 Solve each inequality and graph its solution. 85) -14 > p ) k > ) 8 x ) a Write each number in scientific notation. 89) ) ) ) 2000 Write each number in standard notation. 93) ) ) ) Find each square root. Round to the nearest tenth. 97) 84 98) - 81 P U2y0T1`6v mkoubtsab zsroufmtvw\aircec slvllci.x x jailulq rrricgmhdtwsv grsejsueerdvmefd\.i f vmsaaduee Cwui^tYhw ki[nffyiqnnihtter gperqeo-ca`lrgxegbbrzaf. -7-

9 99) ) - 74 Find each missing length to the nearest tenth. Calculators OK but show work. Use Pythagorean Theorem. 101) 102) Do the following lengths form a right triangle? Use the Pythagorean Theorem. 103) 104) Find the area of each, round to the nearest tenth. Calculators OK but show work. A = bh 105) 106) 2.2 ft 8.3 in 3 ft 10 in Find the area of each. A = 1 2 bh 107) 108) 4.9 m 10 m 6.4 in 4.1 in d K2L0n1`6G FKQuJtEaA XSLopfHtEwFagrOem eltlgct.x b iasltln brqiggmhztmsa orneusrefrpvpezdh.t l umzawdvex GwTijtjhX iiun[f`i^nziitceg LPLrwe_-xAdlQgbehbqrraQ. -8-