- Good Luck to©_____________________ Period_ _ Date________ 126 ALGEBRA I Unit 4 All questions are worth 2 pts each. Must show work to receive full credit. +3 &tifWlJ 3. What is the solution set of lJ2x + 11 = 27? ~ A. {-5} 1. Some fire extinguishers contain pressurized water. The water pressure should be 162.5 psi (pounds per square inch), but it is acceptable for the pressure to differ from this value by at most 12.5 psi. Write an absolute value inequality to find the range of acceptable pressures. Lx+/~q .\ - B. {4} ~ ZX+l:::-Q - -{ \ e LX. :.. -rtQ = 4- x.::-<; ceJ-5, 4D LX ~ D. {4, 5} A A. Ip-12.51~162.5 B. Ip-12.51 ~162.5 +ZC=Z Ip-162.51~12.5 ~ D. Ip-162.51~12.5 4. Sierra's car can travel between 425 and 455 miles on a full tank of gas. She filled her gas tank and drove 45 miles. How many more miles can she drive without running out of gas? 2. What is the solution set of 18x - 31 = 13? aJX _"2 ~ I~ () ;J +3 ,~ l3x= I~ D. COx --r-'!.'3 ::: -Is 1'3 aX. ~laJ A. 425 ~ d ~ 455 B. 470~d~500 cr!86:-d~ 410~ D. d ~ 380 or d ~ 410 {2} 5. Given G /(x)=5x-2. 18 ~ B. 54 C. 20x - 2 D. 20x-8 What is /(4)? ~(4-) - 2. ~-L- 8. 6. What is the range of the following relation? {( 3,5), (-2,8), (5,1), (-3, -I)} 4 5 17 20 ~ 23 26 2 ( fU; 14 A. {3, 5, -2, 8, 5, 1,-3,-1} CS~, 1, iY 3 1 11. S I ~ I t, - \ 3 3 C. {-3, -2,3, 5} What function best describes the information given in the table. D.{-4, 6, 6, 8} A. 7. The graph shows a line segment. fen =3_+_1J ~ B. f(n)=11+3n P(k) _ C. f(n)=14+17n (28, 30) D. f(n)=17-3n ~ -l~ / ~ (12,18) 9. A gym charges a $30 registration fee plus $15 per month for a membership. The graph illustrates the total cost of a membership for a given number of months. k Which equation best describes the slope of the line segment? ~. y 210 180 . m=l '-____________4__~__---- 150 Bm¥ 120 9060 . c.m~ D. . 30 .• • u • • • • • • • • & 12 3 4 5 6 7 8 9101112 x 4 m= 3 What would happen to the graph if the gym eliminated the $30 registration fee? ,....- A. The slope would decrease. B. The slope would increase. C. The graph wauld translate up. D. The graph would translate down. -.......,. "'\ I 2 J. Use the graph below. 12. Which equation below, in paint-slope form, represents the line that passes through the y point 5- 1! 4· J 2\. Js .4 ~ ~ -1 1- -2- - -_. - . - - 3 "" , 11 - }- i ~ !,L V -h;( A ~ / x J (-1,2) with a slope of 3? A. y-I ===3( x+2) B. y+I===3(x -2) C. y-2=3(x+I) ~ D. y+2 =3( x-l) What is the equation of the line in the graph? B. =4 -2x + y =4 c. x~ A. -x - b~ 2y ~v i"., -4 13. h1 ~ 2 ~J 4'~ ~'5 .. ~ <: rL +r-O ) r c+;i ~ (?Wi h <: r(c+O)) u 4 1~ C -2X+'j~-+ - 1(.. (~v -Ppr'L. e)the following inequality for n, where r is a egative number. <"--0 y-(c.f{D)~ BON h ttl" : 11. Which equation in standard form is equivalent to Given the two paints: (4,-5) and (6, 10) ~ 1(9-12 y-5===-3(x+2)? A. 3x + Y === 11 B. 3x+ y C. === 7 3x+ Y === 0 ~+F!) v-$' ~ ~3X-0 7 f-) T Write the equation that passes through the two points in: +-5 ~I I ~~ -3~-\ 3Xry~-) (O~ • IS ____ PoinF slope form: -t ')+S'" ~-lC9::: ~ ( X-6') ' Io~m"'"':----- 2~41lY \j =. ~)(.- ~I Standar form: 3 li(X-4) 35 = (5'>(-"~ - t(!) '2.'j := IS X- 7<:0 - (S'" +-'L~ -=- -7(9 ?J@
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