due date: third day of class estimated time: 10 hours (for planning purposes only; work until you finish)

Transcription

1 Honors Algebra II Summer Work 0 due date: third da of class estimated time: 0 hours (for planning purposes onl; work until ou finish) Dear Honors Algebra II Students, This assignment is designed for ou to review all of our Algebra I and Geometr skills and make sure ou are well prepared for the start of Honors Algebra II in the fall. The assignment is in two parts: written problems in this packet, and problems on ixl.com. See the net page for detailed instructions. We anticipate that the work will take about 0 hours to complete. Both the written work and the online work are due on the third da of class. At that time ou will have a short quiz with problems taken directl from both this packet and the ixl sections listed on the net page. A portion of the quiz grade will be based on the completeness of our summer work. We are reall looking forward to the upcoming school ear and hope ou are, too! Please an of us if ou have questions. Barbara.Filler@stewardschool.org Annie.MacKimmie@stewardschool.org Todd.Serr@stewardschool.org Jennifer.Maitland@stewardschool.org Karen.Hudson@stewardschool.org Page of

2 Assessment of Summer Work. On the third da of class, ou will submit our written work, and our teacher will check our online work.. You will have a quiz made up of problems taken directl from the on-line and written work.. Your written and online work will be evaluated for completeness; that grade will form part of the quiz grade. On-Line Work. Log in to ixl.com with the username and password ou were given in our math class. Students new to Steward: our parents will receive an with our username and password.. Work the problems listed below, until ou earn a score of at least 0% for each section. If ou find that the name of the section does not match the numbers below, go b the section name.. If ou are having difficult of an sort with ixl, reach out to a teacher at one of the addresses above.. click this tab. find these sections. work these problem sets Algebra I Geometr Linear functions Lines in the coordinate plane Right triangles S.7 Slope-intercept form: write an equation from a graph S. Linear function word problems E. Slopes of parallel and perpendicular lines E. Equations of parallel and perpendicular lines Q. Pthagorean Theorem Q. - Special right triangles Written Work. Complete each problem on the following pages.. Do the problems on separate paper. Do the problems in order and number them clearl. o Eception: print the graphing problems rather than drawing our own graphs.. Please show all of our work as was required of ou throughout the entire school ear. o Remember: no work, no credit. Page of

3 Entering Honors Algebra II S Bj0Bei VKauLtac SRo^fYtEwRarrAeF mlhlnc[.a W uaolll[ HrhiwgbhKtNsM freelsvezrhvcecdz. Summer Work 0 Evaluate each epression. ) - (-) - ( - 0 ) 0) Name ID: 8 (-) (-) Date Period ) ( - 8) - 9 ) (-) ) + (-7) 0 - (-7) ) - 9-7) ( 8 - ) 8) ( ) 9) 0) + ) ) - ) ( - - ) - ) - - ) - ( - -) ) A ON0vde bkoustea msgodf]tqwgawrmea klflncq.q b ANlplM r^iaglhtt[sq krnelsoecrtvfecdn.\ ^ vmpatduet Tweidtfhw CIdngf^iWngiJtZeq lanlig]ezbwr`as a_. --

4 Simplif each epression. 7) m m 8) ) (a + ) - 0) -0(8 - k) + k ) ( + 9) - 0 ) - + ( - ) ) (m + ) + (m + ) ) 7( + ) - 8( - ) ) - a - 7 a ) p + p 7) ) -( k + 8 ) - 9) (8m + m + 7m ) + (-m - m - m ) 0) ( + n - 7n ) - (8n + - n ) ) ( ) + (- - + ) ) (8r + - r ) - (-7r + + r ) Solve each equation. ) - = -8 + m ) - = - + m ) - = r - ) -0( + b) = - 8 R db0vdo vk_uqttaj JSmofktMwraJrJeo QLkLICd.S Q oatl`la ZreikgqhWtHsI grecsweurivoehdq.i I VMZaodZeu HwsihtFhH pignjf_itnuiwtjer baglbgaepbcrta_ Fh. --

5 7) = ( - n) 8) = - (- - n) 9) (- + 8r) = 8 0) - + r = (r - ) ) -(n + ) - 8n = - n ) - - ( + n) = n + Solve each proportion. ) = n 9 ) 7 = 0 b Draw a graph for each inequalit. ) n ³ ) -n ³ ) < -b 8) < n Solve each inequalit and graph its solution. 9) + ³ 0) 09 < 7n ) -a + < -7 ) -(7n + ) < g ]^0Orz ZK\u_t]af ZSoufVtEw`a]rieq wlbljcv.l W kanlolr Xr]iKgNhEtKsl EreusSeArpvVedv.t ` ^MasdqeX DwciEtmhi fignf`idnwi^tpe[ paplkgpefbqrgas E. --

6 ) -( + b) > -8 ) 7n + ( + n) ³ ) - b < -(b - ) ) -(a - ) - a Solve each compound inequalit and graph its solution. 7) r + < or r ³ 8) - n ) -8k ³ 80 or + k > - 0) - < -7 + p ) - < k + 9 ) -9v - or v Simplif. Your answer should contain onl positive eponents. ) ) p p ) v v 0 ) k0 k - A dc0n_h BKiuOtlat lsgovfftrwwacraeh wlmlwc^.u j lamlqls QrWi[gdhPtvsl frketsfecrdveeid^.a K cm^apdee swmi`tqht jivnwfqi_nfidteef MABlwgzeubgrNaB fr. --

7 7) v v 8) 9) v- v - 70) u uv 7) - 7) ( v ) 7) ( b ) 7) ( - 0 ) Find the slope of each line. 7) 7) Find the slope of the line through each pair of points. 77) (-9, ), (-, ) 78) (, -9), (-9, 9) 79) (-, -), (, ) 80) (9, -), (-9, -) O p0mny YK[uPt]aN AS_odfJtAwPanrief YLHLLC[.V V fatlbl\ krnizgmhrtesr NrJeIsDe`rXvMe^dB.e [ nmpaidbep zwlictzhz tiqnyfqinaict`ez WAmlcgVewbFrLao _v. --

8 Find the slope of each line. 8) = + 8) = 9 + Sketch the graph of each line. 8) = - - 8) = ) = - 8) = G ds0one OKMuotJaW QSroQfCtDw^aZrpes wlulqcu.[ c ZArlUlC Rrti^gWhftOsu br_eksoerreveekdz.i h UMdardIeh wtigtmhk BIWnvfhiKnqiXteeA raclzg\elb]rqas e. --

9 87) + = 9 88) 7 + = Write the slope-intercept form of the equation of each line given the slope and -intercept. 89) Slope =, -intercept = - 90) Slope = -, -intercept = Write the slope-intercept form of the equation of the line through the given point with the given slope. 9) through: (, -), slope = -8 9) through: (0, -), slope = 9) through: (-, -), slope = - 9) through: (, -), slope = - Find each product. 9) ( - )( - ) 9) (v - )(v + ) 97) ( p + )( p - ) 98) ( + )( - ) 99) (n + )(7n + ) 00) (8m + )(7m - ) r zn0uxo pkauctrah qsoorf\tpwjadrme_ ZLLsCc.\ [ WARlKlJ Wr[iugwhotFsE UrGe[szeravpeqds.c A qmiakdgeu MwQiPtvhF HIvn[f\ifnLiwtuef [AUlTgmeMbtrPaY Kk. -7-

10 0) (k + 7) 0) (7 + ) 0) (8-7)(8 + 7) 0) ( + 7)( - 7) Factor the common factor out of each epression. 0) - 9 0) 0n - 8n Factor each completel. 07) ) p + 0 p 09) n - n - 0 0) r + 8r + ) p - 0 p + ) r - r + 8 ) n - 9 ) r - r + ) - 9 ) - Solve each sstem b substitution. 7) - = - = + 9 8) = - - = 8 9) + = -7 - = - 0) - 8 = = - p n\0usl KNuUtlaz osuorfftawrairreg aljlccv.j Q hanlhlk ^r[ikgphrtfsd arteysfe]rkvoevdq.o F hma]dbel swxi`tzhh rijngfdipnailtee] CAjlAgKebbPr\aP Eh. -8-

11 Solve each sstem b elimination. ) - + = = -0 ) + = = -8 ) - = = ) + = -9 - = Simplif. ) ) 8 7) 8 8) 9) n 0) n ) 0n ) b ) - - ) - 7 ) ) ) ( + ) 8) (- + ) 9) - (- + ) 0) 0( + ) J HY0JqJ TKeu`tiau msqogfxtgwdaprqea dlilfcj.o o qaelqlj NrAiZgKhFtMsH CrTejsBearivYeFdF.l k JMbagdZeF WwfiztVhF milnlfditn[iptped cauljgxekbrrfaf V`. -9-