Algebra Name s dc0p[8\ MKkuvtXaI esmoifntrw\araef GLSLFCA.l F pa\lglb ArNiigphHtsT qrievsneprqvlevdn. Semester Final REVIEW Evaluate each using the values given. ) z + ; use = -, and z = - ) ( - z) ; use =, and z = - Date Period ) ( p + p) m; use m =, and p = ) q - p ; use p =, and q = - Simplif each problem to an equivalent epression. ) k - 8(k + 8) ) -( + 7) - ( + ) 7) - - 9(0a - ) 8) -0 + n - (-9-7n) Solve for the solution of each equation. 9) - 7 0 = - 7 0-0) - 9 = m ) ( + n) = 8 ) -7. +.9 =. ) -.9 +.9 = 0 ) 9 + 7n + + n = 8n - ) 7n + = - + 7n ) - ( + 7k) = - + k t h[0[b8b akbuftbaj rsnorfxttwhaar`er OLILUCG.N V faqlylp DrgiAg`hCtEsr hroeoszezrhvmeldj.r _ wmra^dkex UwtiItghe `IEnKfRi]nTiJtNeQ UAWlAgAebCrCaC JX. --
7) 8n - 0 = -(-n + ) 8) r + 8 = r - 9 9) n - n + = 8 0) 8 = n - n ) n - = ) - 7 n = - ) 8 + = ) 7 0 + n - = 0 Solve each equation for the indicated variable. ) k = w - v, for ) u = a + k - b, for a 7) g = - a - b, for a 8) u =, for Write a proportion for the given scenario and solve. 9) Rand can mow the lawn of houses in 0 minutes. At this rate, how man lawns can he mow in 0 minutes? 0) Jerem can read 0 pages of a book in minutes. How man pages can he read in minutes? n ^Q0vQ8m [KbuPtBaD uswozfrt[w]a^roeo ELSLJCH.B UAalXlq FrrivgkhBtasI vr[elszexr^vtevdm.d w rmiaedaer owcijtbhd YIOnAfci[nMiAtkea ra[l^gnesb_r\ah WE. --
) Carl can drive miles in minutes. At this rate, how far can she drive in hours? ) Jenn can bake cupcakes in hour. How man can she bake in 0 minutes? Write an inequalit for each graph. ) -7 - - - - - - 0 7 ) -7 - - - - - - 0 7 Draw a graph for each inequalit. ) ³ - ) n < -7 - - - - - - 0 7 - - - 0 Solve each inequalit and graph its solution. 7) - > 7( + ) -9-8 -7 - - - - - - 0 8) -0-8r -(r + 8) + - - - - - - 0 9) n +. >. + 8n 0).n +.0 <.98 + 0.n - - - 0 7 - - 0 7 8 Solve each compound inequalit and graph its solution. ) 0 - < ) - < 7 + < - - 0 7 8 9 0-8 - - - 0 8 E u\0_f8n zkfumtdaf fsdoffatpwnarryec MLwLeCF.v h JARlQlO ]r]iqghhptfsv rqebsfejrtvpe]dc.u QMXaUdUeX nwuijtbho OInNfiiDnOiOtAen UAWlFgzedbvrJad bh. --
) How do ou know if something is a function? ) Make a table of ordered pairs that represents a function. Then make one that does NOT represent a function. Function Not a function ) If f () = - +, what is f (-)? ) If f () = 8 + 0., what is f (0)? 7) The equation represents the height of water in a bucket that is slowl draining. H = -t + 0 a) What is the independent variable? b) What is the dependent variable? c) What does the number 0 represent? d) What does the number - represent? 8) The equation represents the speed of a car as it goes down a steep hill f (t) = t + 0 a) What is the independent variable? b) What is the dependent variable? c) What does the number 0 represent? d) What does the number represent? Write an equation to represent the situation. 9) Jenn must pa $ for parking at the fair, and must pa $ for ever game she plas. Write an equation to represent how much she will pa. 0) A group of kids are going to the bowling alle, and each pair of shoes costs $ to rent. The have a $9 coupon. Write an equation to represent what the will pa. Find the slope of the line through each pair of points. ) (, -7), (-, -7) ) (0, -9), (7, -7) Find the slope of a line parallel to each given line. ) = - 0 - ) = - Find the slope of a line perpendicular to each given line. ) = - ) = + N ]_0v_8G CKCuDtXac zssotfjtywfalrfem ilrlkci.r g VADlqlr srvicg^hjtbsp IrjeZsHeur`viezdN.s U jmzaediep ^wiiptfhu eiensfuijnittnec JAGlKg^eWborlaP N[. --
Write the slope-intercept form of the equation of the line through the given point with the given slope. 7) through: (, -), slope = - 8) through: (-, -), slope = - Write the slope-intercept form of the equation of the line through the given points. 9) through: (0, ) and (, ) 0) through: (, ) and (, -) Sketch the graph of each line. ) + = - ) + = - - - - - - - - - - - - - - - - - - - - - - - - ) = - - - - - - - - - - - - - - ) = - - - - - - - - - - - - - i ID0wz8o DKguCtCaV dszoofktowdafroeq MLQLdC\.H j QANlalt HrJiugKhOtisn [rmensmeer]vheqdo.p F [M^aad\eu SwsiitVhm IFnqfSiAnbistTeA rael_grexbnrzao Z^. --
) = - + ) - - 0 = - - - - - - - - - - - - - Sketch the graph of each linear inequalit. 7) - - - - - - - - - - - - - Sketch the solution to each sstem of inequalities. - - - - - - - - - - - - 8) < + - - - - - - - - - - - - 9) ³ - - 70) > - - < + - - - - - - - - - - - - - - - - - - - - \ al0bp8v CKYuZtBaD SSRotfQtpwGabrEep GLBLbC].^ N KAAlrl\ Tr]iGgihTtgs arselseecrfvsefd.s _ XMXardPeO ]wbistihd livnzfpisnmiotuej CAwlfgLebbPrza] HC. --
Solve each sstem b graphing. 7) = + 7) = + = - + = - - - - - - - - - - - - - - - - - - - - - Solve each sstem b substitution. 7) = + - + 8 = 7) -8 - = - + = 8 Solve each sstem b elimination. 7) -7 + 9 = - - = 7) - = 0 + = 77) Beth's school is selling tickets to a spring musical. On the first da of ticket sales the school sold 9 adult tickets and 7 student tickets for a total of $7. The school took in $0 on the second da b selling 0 adult tickets and student tickets. Find the price of an adult ticket and the price of a student ticket. h wl0jo8g AKauHtrak SVocfbt[wVacrzeG PL\LIC_.f u [AjlAld ]rpicgwhctlso prkedspeqrcvseodi.h V cmxahd\ej ewjiutbhh gionmfrienwietreo ZAulBgFerbdrZab da. -7-
78) Shana and Gabriella each improved their ards b planting rose bushes and ornamental grass. The bought their supplies from the same store. Shana spent $08 on 9 rose bushes and bunches of ornamental grass. Gabriella spent $ on rose bushes and bunches of ornamental grass. What is the cost of one rose bush and the cost of one bunch of ornamental grass? Simplif. Your answer should contain onl positive eponents. 79) 80) 0 0 8) - 8) v - u - v - 8) ( m n - ) 8) ( v 0 )- 8) ( a ) 8) ( 0 ) - 87) ( - ) - - 88) - ( )- ( 89) - - )- - ( 90) )- f AF0Lf8B skouataah vsroofatlwua[r^e[ mlllzcp._ V PAblulL CreiXgIhGtEsC ErXeBs]eKrmvrefdF.i p amqa\dieg FwviltHhC niantffifnxi]twe bamlhgvehbqrgao AR. -8-
Answers to Semester Final REVIEW ) ) ) 8 ) - ) -k - ) - - 0 7) 0-90a 8) 8n - 9) {-} 0) {-7} ) {} ) {-0.} ) { All real numbers. } ) {-} ) No solution. ) {0} 7) {-} 8) {-} 9) { - } 0) {.} ) {7, -7} ) {, -} ) { }, - ) {-, -} ) = w - v ) a = u - k + b -g + - b 7) a = k 8) = u 9) 0) ) ) ) k > - ) < ) ) 7) < - : -7 - - - - - - 0 7 9) n < -.7 : ) < 9 : -8 - - - 0-0 - - 0 7 8 9 0 8) r ³ : 0) n < : - - - 0 - - - 0-0 8 ) -8 < < 8 : -8 - - - 0 8 ) ) ) ) 7) 8) 9) 0) ) 0 ) ) - ) 0 7 ) - ) - 7) = - 8) = - - 9) = - + 0) = - ) - - - - - - ) ) ) - - - - - - - - - - - - - - - - - - r `g0p_8d qkqultsan ]SMoAfNt\wzafrBew `L]LdCV.Y r cadlflr zrgiugeh^tfsd lrne]sfearavqe\di.o F zmqatdjez ewbiotfhq lixn[fqidnki]teg zavlrg\exbvrwag t^. -9-
) ) 7) - - - - - - - - - - - - - - - 8) - 9) - 70) - - - - - - - - - - - - - 7) (, ) 7) (, ) 7) (-, 0) 7) (, -) 7) (-, -) 7) (, ) 77) adult ticket: $, student ticket: $ 78) rose bush: $8, bunch of ornamental grass: $ 79) 80) 8) 8 8) 8) m 8) v 7 u n 8 8) 9a 8) 8 87) 88) 8 89) 90) 8 0 8 - - r [j0qi8g fksu\tzax asdobfetzwnasrte` `LXLcC].K S DAolcl] lrzizgrhctmsw Ir\eJsQekrvDebdU.g m UMiaUdqej IwkiXtzhA AIbnVfDiLn_iptAeY AhlTgreQb[rZaf vv. -0-