Algebra 1 - Complete Review of Algebra 1

1 L B2j041N31 OKHuqtBaF ySdonfLtZwjarr7ey M 3A1lXlo arjipgyhit7sZ y oMkaudSeY MwXixtihi iI5nGfGiEnViLteeY QAvlRgeeHb5rNaI by Kuta Software LLCA lgebra 1 Name_____ t X29011Q3r 8 KjuTtGaP ZSZoXfjtswDaZrzeb y WALlPlG grLicgRhMtAsa of Algebra 1 * Placement Test ReviewEvaluate each ) 2 6 62) 6 ( 4 2)3) 1 ( 8) 12 34) 9 24 8 ( 5)Evaluate each using the values ) 5 x2 ( x + y); use x = 2, and y = 56) 5( n3 p); use n = 9, and p = 2 Solve each ) v 3 v + 5 = 1278) 11 b 1 = 6 b + 1 Find each percent change. State if it is an increase or a ) From 12 to 1510) From to 1311) From 99 to 3512) From 17 to 7413) From 305 to 39514) From 309 to 292-1- p 32N021s3S mK6u4t7aB OSCo0fdtQwcaJrIeu p vAMlKlF YrXitgIhutns0 u FMPaPdZeK pwli7tphZ YI0n7fwiNnciNtne3 QAfl5goembdrjal by Kuta Software LLCS olve each ) What is 42% of 66?

2 16) What is 98% of ) 98% of 74 is what?18) 41% of what is 35?19) 330 is 300% of what?20) 13% of what is 260?Solve each ) 6 x 5 x = 022) 17 = n + 2 + 4 n23) 2( 2 m + 7) = 28 6 m24) 25 + r = 5( 2 + 8 r) + 6 r25) 6 n 12( 11 n + 8) = 10( n 4)26) 28 x + 6 = 3( 1 + 7 x) 7 x27) 6 n = 628) 5 x = 3029) 7 8 k = 7330) 10 a 8 = 7831) 6 3 9 x = 1832) 9 x 9 + 4 = 76-2- I 5280D1Q33 HK1uwtBaq 4 SXojfft1wgaNrIeC u NA5lilL 5rTi5gjhQtLsb c TMjaKdWeF BwjirtUho zIUnzfuiqn1i5txeE CAFlmgBezbxrwac by Kuta Software LLCS olve each equation. Remember to check for extraneous ) 2 = m434) 1 = n + 535) x = 20 x36) p = 10 9 p37) n + 2 n + 34 = 538) b + 60 6 b = 10 Simplify.

3 Your answer should contain only positive ) n n3 2 n40) k k241) a2 2 a042) 2 x3 3 x43) ( ( x4 y4) 5 2 x y3)044) ( 2 u 2 v2)2 2 v 545) 2 u0 v5 ( 2 u5 v3)346) x y5 ( 2 y x2)247) ( 2 x4 y2)3 2 y 2 2 x 2 y248) ( v u3 2 u4 v 3 u4 v 4)3-3- U K2i021b3J jKsugtYaF eS6o5fStWw7agroes v vAkl9lY zrhiTgrh8tZsr 6 pMfaIdve8 hwNi7twhl vIwnZfFiWnwistKef wAElPgbezbbrKaH by Kuta Software LLC49) a 4 b 1 a b2 ( a) 450) x2 y0 2 y x 1 ( 2 x2) 1 Name each polynomial by degree and number of ) 6 p4 + 10 p352) 8 n + 3 Simplify each ) ( 7 n4 14 5 n3) ( 7 8 n3 + 11 n4)54) ( 12 x + 10 x3 7) + ( 6 x3 + 14 + 4 x)55) ( 13 xy 6 y2) + ( 14 x4 3 y2 + x2y2) ( 9 y2 4 xy)56) ( 9 4 a3b3) ( 6 a3b3 14 a) ( 6 a3b3 + 2 a)Find each ) ( 2 x + 4)( 2 x 2)58) ( 4 n + 5)( n + 4)59) ( 5 p + 8)( 7 p 5)60) ( k + 3)( 8 k 8)61) ( 4 n 6)( 6 n2 + 3 n + 8)62) ( x 3)( 6 x2 + 8 x + 8)-4- A t2l0L1m3p DKruatAaV FSNorfPtRwtavrZeM X YAglulG Uryixg6hxtcse c KMuaOdfe3 tw9iPtrh2 8 ITnDfniDnrictYeu EAglSgGesbXrNaK by Kuta Software LLC63) ( m 2)

4 264) ( r + 1)265) ( n 6)( n + 6)66) ( 8 6 x) ) ( 10 v4 + 30 v3 + 2 v2) 10 v68) ( 18 b3 + 2 b2 + 3 b) 6 bFactor each ) p2 9 p + 1870) p2 8 p 971) 15 v2 + 132 v + 9672) 5 n2 8 n 2173) 6 r2 + 53 r 7074) 30 a2 + 51 a 1875) 4 n2 2576) 16 m2 2577) 4 p2 + 12 p + 978) 9 x2 + 24 x + 1679) 18 b2 280) 27 n2 3-5- V M2I0K1B3x cKmudtCaQ 9 Seo8fNtmwea2roeH Z 4 Ahlflu ertiqgyh9tCs8 U ZMvaOdge1 pwBiQtOhP uIanufRinnuiptke9 qAwlMgTeTbRrVaf by Kuta Software LLCS olve each equation by ) ( 3 x + 1)( x + 4) = 082) ( r 1)( r + 1) = 083) v2 8 v + 7 = 084) 3 x2 + 12 x + 9 = 085) x2 + 7 x = 886) n2 = 9 6 nSolve each equation with the quadratic ) n2 2 n 3 = 088) x2 3 x 18 = 089) 4 r2 = 24 10 r90) 4 m2 = 2 4 m91) 2 n2 + 2 n + 53 = 792) 10 x2 12 x + 45 = 9 x2 + 1 5 xWrite an inequality for each ) 7 6 5 4 3 2 10123456794) 7 6 5 4 3 2 101234567 Draw a graph for each ) p 5 7 6 5 4 3 2 10123456796)

5 5 < n 7 6 5 4 3 2 101234567-6- t y2W0n1X3j sKxuJtRas zSDoTfotVwiapr1eR 6 ZAAl4l3 RrPihg5hQt4sH G JMFa3dgeT DwjiOt1hB jIlnUfJiInwiLtBe8 UAclcgKepbJrsaw by Kuta Software LLCS olve each compound inequality and graph its ) 2 a 12 > 20 or 5 2 a 29 16 14 12 10 8 6 4 2098) 11 4 + 7 n 67012345678910111299) 5 x 10 or 3 x 18 9 8 7 6 5 4 3 2 10123100) 1 < 3 + r 4 8 7 6 5 4 3 2 101234101) 14 15 v 18 19 v < 19 v 1 5 4 3 2 101234567102) 17 x 3 13 x and 8 2 x > 8 x 2024681012141618 Solve each inequality and graph its ) n3 > 3 12 8 404812104) 3 x 15 8 6 4 202468105) 4 k 5 < 5 4 3 2 1012345678106) 9 6 p < 57 10 8 6 4 2024681012-7- a J2Z0s1533 tKhuhteaq PS7ovfZtrwyaOrven N nAUlZlz lr7iagNhstdsk c EMuaEd1eA fwMiktHhZ EI3n7fOi1nmiBtMeA HAfljgDeAbdr0aF by Kuta Software LLC107) 3 3 n 6 > 9 6 5 4 3 2 10123456108) 6 6 x + 3 39 7 6 5 4 3 2 ) 8110) 27111) 3 486 v3112) 5 256 x113) 5 2 + 52114) 2 5 + 55115) 2 3 212 54116) 3 12 345 25117) 4 112 2 128 27 232118) 280 + 28 20 + 45119) 2 4120) 4 2121) 2 15( 5 + 10)122) 515( 10 + 3)

6 -8- U q2H0v1Z3U 9 KkultXav FSAoJfVtbwma8raed z 0 AIlelZ jrEiRgBhTttsm 3 LMtaZdge8 3wmi1tRhF VIWnifviVnEiftgeQ DA9lcgEeJbVrdag by Kuta Software LLC123) ( 67 x 26)( 67 + 36 x)124) ( 5 5 n + 57)( 55 n 27)125) 2327126) 216 49127) 4 4 + 22128) 2 3 + 3 Simplify. Use absolute value signs when ) 7 128 m3np4130) 576 m5p3qFind the slope of each ) y = 54 x + 5132) y = 52 x + 5133) xy134) xy-9- i e2r0i1d3d lKGuYt8aU PSMosf9tuwraTrsep 0 VAflhl1 2rviVgphqtcsR 0 RM1a9dxeT FwyiotShz xIGncffiEnJiUtIe4 HAtlPgCeRb3rBa4 by Kuta Software LLCFind the slope of a line parallel to each given ) x = 4 y136) 1 y = 4 xFind the slope of the line through each pair of ) (17, 2), ( 3, 4)138) (4, 18), ( 12, 20)Sketch the graph of each ) y = x 3xy 6 5 4 3 2 1 123456 6 5 4 3 2 1123456140) y = 4 x 2xy 6 5 4 3 2 1 123456 6 5 4 3 2 1123456141)

7 Y + 6 x = 3xy 6 5 4 3 2 1 123456 6 5 4 3 2 1123456142) 0 = 8 x 15 + 3 yxy 6 5 4 3 2 1 123456 6 5 4 3 2 1123456-10- P k2T0z1o3I ZKHuStaad nS7offUtYwxahrNeA g DARlNlq 2rfiAgyhWtXs1 c MMCaRdpes FwmiltUhU HIGnpf8i0n6i3t2e5 vAdl2g2eSborUac by Kuta Software LLC143) 2 x 3 y = 6xy 6 5 4 3 2 1 123456 6 5 4 3 2 1123456144) 3 x + 4 y = 4xy 6 5 4 3 2 1 123456 6 5 4 3 2 1123456 Write the slope-intercept form of the equation of each ) xy 5 4 3 2 1 12345 4 224146) 3 x + 7 y = 28147) y + 2 = 32( x + 2)148) 15 x = y 4 Write the slope-intercept form of the equation of each line given the slope and ) Slope = 13, y-intercept = 5-11- G D2Z0X1x3r zKjuWtWaz ESgowfJtUwBaKrqel 0 LAylrlD hrPiQg1hUtjsu f QMlaVdUea fwbivtMhW 9I8n9fIi6nAiZtQej qAyl7gYeUbYrBai by Kuta Software LLCW rite the slope-intercept form of the equation of the line through the given point with the given ) through: (3, 1), slope = 43 Write the slope-intercept form of the equation of the line through the given ) through: ( 3, 2) and (1, 1)Write the slope-intercept form of the equation of the line ) through.

8 ( 4, 5), parallel to y = 74 x + 1 Sketch the graph of each linear ) y > x 4xy 6 5 4 3 2 1 123456 6 5 4 3 2 1123456154) y 13 x 3xy 6 5 4 3 2 1 123456 6 5 4 3 2 1123456-12- c e2a0E1T3j NKyuXtGas 1 Syo8fnt5wLaprOeH 7 pAplqlr SrDicgrhZtysK 6 1 MBaWdLez Lw5iut8h7 AIInUfnijnZiItrea 7 AWl2gSeQb6rcaW by Kuta Software LLCS olve each system by ) y = 13 x + 4 y = 43 x 1xy 5 4 3 2 1 12345 5 4 3 2 112345156) y = x + 1 y = 14 x 2xy 5 4 3 2 1 12345 5 4 3 2 112345 Solve each system by ) x + 5 y = 20 3 x 5 y = 20158) 7 x + y = 7 7 x 8 y = 7 Solve each system by ) 5 x + y = 13 x + 2 y = 1160) 6 x 9 y = 30 x + 18 y = 5-13- J o2Y011t3s rKjuLt7aw 4 SDogfKtawaaOrGek M rAklwlo Zryiwg3h2twsp e HMnavdfeN 7wMi0tEhv jI8nLf1irnliFt1eY vANlkg7eNblrLa3 by Kuta Software LLCS ketch the solution to each system of ) y < 5 x + 3 y > x 3xy 5 4 3 2 1 12345 5 4 3 2 112345162) y 53 x 2 y > 13 x + 2xy 5 4 3 2 1 12345 5 4 3 2 112345 Evaluate each ) g( x) = 4 x 1; Find g( 6)164) h( a) = 2 a 1; Find h(2)165) f( x) = 2 2 x + 1; Find f(1)166) p( t) = 3 t + 1; Find p(2)167) g( n) = 3 n + 1.

9 Find g( n)168) h( n) = 2 n + 2; Find h( 1 n)Perform the indicated ) g( x) = x + 5 f( x) = x + 1 Find g( 10) + f( 10)170) f( x) = 3 x + 5 g( x) = x3 3 x2 xFind f( 5) + g( 5)-14- J i2r0O1N3Q dKkuLtxaO XS1ojfctewha9rLeE 9 cAGlOl2 zrziKglhztbs4 d vM5aBdGeA Vwzi2tOhu TIInafJiZn1ijtBet pAElCgGegbmroaO by Kuta Software LLC171) h( a) = 3 a + 1 g( a) = a2 + 1 Find h(10) g(10)172) g( a) = 2 a + 3 h( a) = 2 a + 1 Find g( 7) h( 7)173) g( t) = 2 t + 1 h( t) = 3 t + 3 Find g(5) h(5)174) g( t) = 4 t 4 h( t) = t3 5 t2 Find g(5) h(5)175) f( n)

10 = 2 n3 + 5 n g( n) = n + 3 Find f(1) g(1)176) h( n) = 3 n 3 g( n) = n2 4 nFind h( 10) g( 10)177) g( x) = x 4 h( x) = 2 x2 2 xFind g( x) + h( x)178) g( x) = x2 + 5 x h( x) = 2 x + 5 Find g( x) h( x)179) h( x) = 4 x 2 g( x) = 3 x2 + 1 Find h( x) g( x)180) g( x) = x3 + 5 x f( x) = x + 5 Find g( x) f( x)State the excluded values for ) 3 b2 + 3 b