ch2and7_rev_key

# ch2and7_rev_key - Algebra2 Name Chapter 2& 7 Review...

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Unformatted text preview: Algebra2 Name: Chapter 2 & 7 Review Block: READ EACH QUESTION CAREFULLY AND REMEMBER TO SHOW ALL YOUR WORK! For questions 1 — 3, letf(x) = 2x+l . W I ’ ' i amiawa ii“ - 1- Graph f(x)b610W1fx Z 2- 3 99 i i A 2. State the domain and range ofthe function if x 2 2 1/1 ““r Domain: )\ g ‘gﬂﬂi‘g/{Egl‘ t ‘ Range: g 2 my 3. Find f(5). Hf): £63) 1" t; [a (“I M Use the following situation for questions 8 - 11. In a science experiment a ﬂask of water was left out to evaporate, in order to recover a dissolved salt. After 3 hours, there were 150 cm3 of water left in the flask, and after 5 hours there were 40 em3 left. 41W“: . K?" has +7 I . of 8. Write2 ordered pairs. (g, m QC" (we (3‘ :50) 4‘ c 51;, etc) 9. Find the slope of this function. . ISée‘io ixo ..H 73' £3: 1‘ if" ¢‘”\$S',CMW [xx L . 10. Write a point w slope equation for y, the amount of water left in the ﬂask after x hours. [(7% a... ll. How much water was in the Flask when it was ﬁrst put out? iﬁﬁo “157: = “55? (543) , 3' l'é- 5’ + l5?) 3: 12. Write the slope — intercept form oi7the equation of the line at as a s ope of—Z and a y « intercept of 7. WW WW ﬁgs 13. An online computer service charges users a monthly fee of \$12 plus \$3 per hour of connect time. Write an equation to model this situation. Be sure to deﬁne any variables used. .5 #ag/hde’s ND {fewest {f 3% 2 (I : Cost The following table gives the height of waves, In (in feet) and the depth of the water, (1 (in feet) at that height. Use ' f0 tionfor questions 4am! 15. Height of wave (/1) Depth of water 19 h m 6.5 8.45 I. 3 7 9.1 I. 2 7.5 9.75 i. 3 s 1 10.4 1 3 14. Is there a common ratio of the height of the wave and the depth of the water? lf there is, write an equation relating the two variables. . . ’,Whé’31ib9'ilzﬁ a :11,“ w ~ 4 C‘ {7 3 EQLM’WW f [/34 15. If a wave breaks at a depth of 5.2 feet, what is its height? W WWW L13 c1537; gilt/.3551 E17 For questions 17 —— 22, solve each system of equations. (Use either elimination or substitution only) 17. 4x+y=—1 l8. y22x+1 19. 4x—3y217 if” w {7 4x—y=——2 Alﬁx~3y=19l~ﬁ> sﬁ‘x fggjm“‘l‘1’ a new x = r“: Mm Ms 2’s 7 'l Lgﬁzyusa v17 lawn ~a w 0 «W: 3.2.2.2: (.214) jgzcl’bje! tit/‘50 _C:~‘/é,,©) 20.Qx~5y=29)3 17> bx,ch 2 {57 21. —15x+3y:—9 é, 22. —8x—5y:—7 *Z»C33‘2y=5> «Iggsz 7e ’Sx—y2333 ““E’Mg‘md « 8x+5y28 M % :rwW-m“wf:31:i ““ "‘ 2 2» :77 ‘ r (j) :; ( My 5) s: (3 .q q (I ,. ,f 27 WM‘WKWW’W ’ a“ {vase- j l Rae 2,5- 4:3? :27” r “M W ‘ W'W- 3?“ (“gﬁjﬂ 2v: ""5 ' For questions 23 and 24, use a graphing c lculator to solve each system of equations. Be sure to ﬁnd ALL solutions. 2.2 an“ it .. _" A». . 23. y—x +22x+1 Cwng Lbqu 24. y—2(§)2 («\$43327 {flaala ,.f- “9‘3" 1 W , ("3. 50;] {:36 3L” C y [> For questions 25 — 28, graph each inequality. 25. y<x 26. yZ—4x-l—3 28. —3x—2y<6 y ‘ t [I Ill-ummmnu ‘ ; 'Eﬂllﬂﬂﬂull Ill-Immnmn , Vv,,, Mﬂwq III-Innuum gunman xw'M Illuummm Inluanaunl l,? umnmm x x lunanpgqu x w; t . : gunman: %g Illlllllllllllllll I a Hnmumunmn I' ,ﬁlnnnmmum For questions 29 and 30, graph each system of inequalities. it (b 29. y£%x+3 3' 30. 2x+3y§l2 y>-%x ‘5‘” T’ ~ _ 2x—3ygis \r mm“. L In “mum! ‘ I? s ‘ hi ‘» 7 «mm l s I II 1 ‘~ one {:67 wt - ‘ hmli ‘ is, For questions 31 and 32, write a system of inequalities that deﬁne each shaded region. 3]. 32. 33. Use a matrix to No ve the following system of equations. Be sure to show the ‘ 6x——y+4z=~9 ml X “Li w ,1; \1 L; 7 2x+y~3z~7 2- l q 8 x~4y+22=~8 l at l i ’ 34. Suppose a sports club has a membership fee of \$500 in addition to a monthly \$20 fee while another gym has a a. Write a system of equations representing the cost of the club and the gym as a function of the number of b. Solve the system you wrote in question 34. EXPLAIN your solution. 2w; +523.th 3‘ 5236) + 24% 1% Bow; 2-: 30 o m x lo {fl/l /() afresh ﬂat {5 #E Mazes J (“gym [\$476! ﬂies to hunt/{ti fit “ff/v2 fjm with @ﬁézyﬁf ism}? tit/4" :7 ...
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