) + ( - 3 2) + 1 8) ( - 5 8) ) ) (-1) + (-1) - ( - 1 3) Algebra Readiness Summer Work:

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Phillip McCoy
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1 Mr. Hatman's Algebra Readiness Summer Work 018 for rising 8th graders. NAME Q LV0a1h8l akvuytiae qstobfktjwcafrfeh HLDLoCh.f C GAplUl ^rriwgehltiss Tr[eksmelrWvaegdW. Algebra Readiness Summer Work: You should be able to work all operations with INTEGERS. Evaluate each expression. Do NOT use a calculator: 1) 0 - (-) ) ) (-) ) (-5) ) (-) - (-0) ) 50 + (-) (-5) You should be able to evaluate all operations with RATIONAL NUMBERS. Evaluate each expression. No Calculators: 7) ( - 11 ) + ( - ) + 1 8) ( - 5 8) ) ( - 9 7) + ( - 11 ) + 10) (-1) + (-1) - ( - 1 ) 11) 1 + ( -1 5) + ( - 5) You should be able to SOLVE EQUATIONS involving one and two steps. Solve each equation: 1) 8 = x 1) 5 = -15x 1) - = m -7-15) 155 = -8r + 1) 7k + 9k = 0 17) 1 = 1 + b - b 18) 1 = 1 + 7x + 8x H ph0z1p8w bkwu_tyaw LSVokfrtmwraRrneF RLILMCm.j P AAWlclj sraifgchttmse prqenswewrbvfe[di.p C KMEabdYeH UwEirt`hw ZIHn^fAiknXivtkef KPOrRe^-uAvlTglePb_rOaX. -1-

2 You should be able to find the MEAN AVERAGE b reading a BAR GRAPH, DOT PLOT GRAPH, and LINE GRAPH. Find the mean for each data set. You ma use a calculator: 19) Educational Attainment b US State 0) Basketball Tournament Champions % Bachelor's Degree 5 1 Utah Marland Hol Cross La Salle UTEP Arizona Kentuck Sracuse North Carolina North Carolina State Michigan Connecticut Louisville Duke Times Won School You should be able to ADD/SUBTRACT DECIMALS. Evaluate each expression. 1) (-.) - (-) - (-7.79) ).19 + (-5.) + 5. You should be able to WRITE EQUIVALENT DECIMALS, FRACTIONS, and PERCENTS. Write each as a fraction. ) 0.7 ) 0.8 5) 0.5 Write each as a percent. ) 0.0 7) 0.07 Write each as a decimal. 8) 9 9) 1 5 Write each as a fraction. 0).7% 1).% [ [\0\1q8A TKHuttSaM vszowfbttwyaorqej elplycq.\ a va_l_lb rr`iugehotus ZrXejsoeArLvEeqdI.G L YMRa]dHet WwLiBthhZ AIInYfWiQnUiNtveH opurkev-zawlsgfekbarwa[. --

3 Evaluate each decimal expression. Find each quotent. NO Calculators: ) ) You should be able to ROUND DECIMALS to the place specified. Round each to the PLACE indicated. ) ).7179 ) 7.11 You should be able to use the DISTRIBUTIVE PROPERTY then COMBINE LIKE TERMS. Simplif each expression. 7) (5r + 5) 8) - - (x + 10) 9) (10x + 1) - x 0) (b + ) - 5(1 + b) 1) -( + 7n) + (1-10n) ) -(m + 7) - m ) -n + 7(1-5n) You should know the difference between a factor and a multiple. You should be able to FACTOR numbers, list the GREATEST COMMON FACTOR, and LEAST COMMON MULTIPLE of numbers. List all positive factors of each. ) 5) 85 ) 88 List the prime factorization using exponents. 7) 9 8) 8 Find the LOWEST COMMON MULTIPLE of each. 50) 0, 18 9) 7, Find the GREATEST COMMON 5), FACTOR of each. 51) 1, 1 e mk0g1u8y _KZuTtna^ xsxonfvtiwxafrfee JLfL_Cl.t Q raqltly rr\icgqhotssi rrmemshejrtvhehdj.p I BMoatdJe[ TwOiPtAhc RIFnnfhisnbiUtXei wpcrpe]-qaxlqgkeqbnrbaf. --

4 You should be able to appl the ORDER OF OPERATION to a numeric expression. Evaluate each expression. 5) ( + )( - ) 5) ) ) ) (( - 1) - ) You should be able to PLOT POINTS ON THE COORDINATE PLANE. Plot each point. 58) Q(, -5) T (10, -8) R(-9, -5) U(, -8) 10 S(10, -) x You should be able to find the AREA of a circle, quadrilateral, square, and triangle. Find the area of each. Round our answer to the nearest tenth. 59) 0) 9 km 1 in O WW0E1I8P PKguTtsaM PSloLfqtPw]arReo mljlpc.z H \AMlKlt CrViugWhzt`st `rwehs^ejrhv_eudv.\ W SMMand[eB pwlinthhp \IcnPfHiPnmiztmei EPBr]ev-gAtlagHeobr_aZ. --

5 1) 5 d ) 11 d 9. cm 8 cm You should be able to GRAPH A LINEAR EQUATION b using T TABLES. Sketch the graph of each line. ) = -x x ) = x x - You should be able to recognize EQUIVALENT FRACTIONS (ratio's). State if each pair of ratios are equivalent. 5) and 8 ) 8 and 7) 9 1 and 8) 0 1 and You should be able to use the PYTHAGOREAN THEOREM to find the missing hpotenuse. Find each missing length to the nearest tenth. 9) 1 I gl0t1a8v gkruataaw nshobfktfwxakreq dlilcc.^ A MAXlql_ ErdiAgYhvtCsw Trveasae[rhvEeDd^.o b IMpaSdOeC mweihthhh PIn\frijnHittBer hperwe[-qaxlgeefbnrvaj. -5-

6 70) 71) a = 1, b = 8, c =? 8 You should be able to write a number in SCIENTIFIC NOTATION. Write each number in scientific notation. 7) ) 590 You should be able to graph inequalities: 7) x ³ - 75) m > ) -x ) -x ³ You should be able to write an inequalit and graph: 78) ) You should be able to solve a multi-step inequalit and graph its solution. 80) 105 > 7(a + 8) 81) x + (7 + x) > 5x + (x + ) You should be able to find the square root of perfect squares: 8) 100 8) 1 8) You should be able to find the square root of non-perfect squares and round to the nearest whole number. 85) 15 8) 1 s BR0p1e8T PKguWtNaQ FSBo^fjt]wNaRrJe_ il]lqc^.s Y ]Apl_l` SrEiSgvhetRsL ]rxeaszebryvqepdp.l f QMQaHdheI cwzi_tths AI\nOfoi_nriWtbek XPWr\eA-RAXlpgPe[bNrPa`. --

7 Answers to Algebra Readiness Summer Work: 1) ) -5 ) 9 ) -5 5) -59 ) 8 7) ) 9) ) ) - 1) {} 5 1) {-15} 1) {1} 15) {-19} 1) {0} 17) {-} 18) {0} 19).7 0).5 1).79 ).9 ) 19 7 ) 5 5 5) 1 ) % 7) 7% 8) 0. 9) ) 1. 0) 1) ).875 ) ).718 ) 7. 7) 15r ) - - x 9) 5x + 0) -7b + 1 1) n ) -8m - 8 ) -9n + 7 ) 1,,, 8, 1,, 5) 1, 5, 17, 85 ) 1,,, 8, 11,,, 88 7) 8) 1 9) ) 90 51) 5) 5) 7 5) 7 55) 50 5) 9 57) 5 58) 59) 5 km² 0) 01 in² x - R U 1) 55 d² ).8 cm² ) Q S T x - - k xw0v1o8n wkuot[a^ kswohfvtwlajrser ^LQLUCe.Y I aarlcl sr`iegshftxsh ArcetskeMrjv]eedH.W c emgazdjen awnimtbhv ri]npfri^njiztvel QPmrtee-fAUlYgZeSbFrnae. -7-

8 ) 5) No ) Yes x - - 7) Yes 8) No 9) 1. 70) 10 71) 15. 7) ) ) 75) 7) ) 78) k > - 79) x < 0 80) a < 7 : 81) x > - : ) 85) 11 8) ) 10 8) 1 K sa01w8m dkjuutmae XSFoXfctKwfabrJeq HLbLFCK.M e `A_lql[ YrMi`gAhGtLsW _r]etsqedrpvtesdu.w w JMlaod_ei KwziXtTh] JIYnrfKisnciNtUeD HPerKet-sAOlIgAeTbwraaE. -8-

Remember, you may not use a calculator when you take the assessment test.

Elementary Algebra problems you can use for practice. Remember, you may not use a calculator when you take the assessment test. Use these problems to help you get up to speed. Perform the indicated operation.