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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'
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[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. . .
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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“:
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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
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For questions 23 and 24, use a graphing c lculator to solve each system of equations. Be sure to ﬁnd ALL solutions.
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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—4xl—3 28. —3x—2y<6 y ‘ t [I Illummmnu ‘ ; 'Eﬂllﬂﬂﬂull IllImmnmn , Vv,,, Mﬂwq IIIInnuum gunman xw'M Illuummm Inluanaunl l,? umnmm x x lunanpgqu x w; t . : gunman: %g
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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
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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.
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 Spring '08
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