Name: Math Spring Final Exam Review Answers
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College Entrance Preparation
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ACT Preparation (Mathematics)
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2020
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14
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strofamay54

ACCELERATED MATH SPRING FINAL EXAM REVIEW ANSWERS 7a. (x-5)(x-2) 12f . 14/n2V la. UP, MIN 7b. (x+7)(x-2) lb. DOWN, MAX 12g. 10a3ib4 7c. (x+3)(x-3) 12h. -Aal0b5 lc. DOWN , MAX 121. 20 7d. 6x(x-7) Id. DOWN , MAX 12 j. 8 8a. add and subtract LIKE 2a. top right graph TERMS 13a. m 5 8b. same base, add exponents 2 b. bottom left graph 25 8c. multiply exponents 2 c. top left graph 13b. x = 18 , . c 5 13 x exponents right graph cancel d / subtract 8 . d bottom 2 52 3a. bottom left graph 9a. 36 x16 13d. x = — 5 13e. x 256 3b. bottom right graph 9b. -13x* 3 13f . y 4, -4 3c. top left graph 9c. -4 x 6 2 24 13g. x 6, -6 3d. top right graph 9d. x yI z 13h. y -4, -6 4a. opens up 9e. 48 x5 y8 V: (-2, 0) LOS: x -2 13i. x 5, -5 : ( ) X-int -2 , 0 Y-int: (0, 4) 9f = = = —5 13 j. = = = = = x = 3, 1/3 4b. opens up V: (2, -16) LOS: x 2 X-int:(6, 0) (-2 , 0)Y-int: (0, -12) 4c. opens up V: (2, -1) LOS: x 2 : X-int (3, 0) (1, 0) Y-int: (0, 3) 9g. -Ay8 9 j. x8 y4 z6 14-3. 4(x-5)(x+2 ) 4d. opens up 9k. lhx 9 14-4. (3x-l)(x+l) 91. *20 9 m. -1 9n. 1 10. Take out the “ partners" on the coefficient. Divide the exponents by 2. 11. Take out “triplets" on the coefficient. Divide the exponents by 3. 12a. 9a2b8 12 b. -3a3b9 12c. 20 12d. 6 2 12e. abc4 14-5. (3x-2 )(2 x+3) = = = V: (0, -9) LOS: x 0 x-int: (-3, 0) (3, 0)y-int: (0, -9) 5. The x-intercepts for each. 6a. x = ±s[7 6 b. x 15, x -1 = = = = 6c. x 2, x 1 6d. 6e. 6f . 6g. 6h . == = = = x 6 x -1/ 2 x -8 x = 2 , x = -2 x 1, x -6 x = 2/ 3 , x = - 1 9h. 432 9i. xsz* 2A'24 - ^ L 14-1. ( 2x+9)(2x-9) 14-2. (x+5)(x+2) ! 14-6. 2(x+2)(x-2 ) 15-7. 3 x 2 -7 x + 2 15-8. A'2 - 3A + 2 * - 225 15-9. A 15-10. A' 15-11. 2 A' 2 + (> x + 9 - 2A' +1 i 15-12. -16A- 2 - 32A' - 16 END OF ALGEBRA SECTION. Geometry Section 1. Concave-has exterior diagonals, convex doesn't 2. C 3. 5 in. 4. segment VW 5. Radius- A segment with endpoints at the center and on the circle. 6. arc BC = arc DE arc CG - arc FC arc BD = arc CE 7. chord interects at 2 pts. Tangent intersects at 1 pt. 8. 9. 10. 11. 12, 74 degrees 13. x = 6 14. x = 3 15. If a triangle is equilateral, then 2 of the angles measure 60 (true). 16. 4 = 2, 5, 7, 10, 12, 13, 15 17. x = 7 18. - 3n 19. n- 3 ^ 20.6: 15, 35: 595, r\ . 21, 58 degrees 22. x = 18 23.11 inches ~ 24. yes 50. 13 mm 25. 31+17= 48. They need to be increased so their sum is bigger than 54. 26. segment CB 27, I > k > j 28. B 51. A 52. 41 degrees 29. D 53, 76 degrees 54. 17 degrees 55. no. x = 93 but it should be 90 if q is tangent. 56. 98 inches 30. C 57. 67 degrees 31. BD = BD (reflexive) A ABO = ACBO SSS AABO = ACBO CPCTC 32. AC = AC (reflexive) A ABC s A AOC SAA AO = AB CPCTC 33. 60 sides 34. 720 degrees 35. 92 degrees 36. 9 sides 37. 6 sides 38. 36 sides 58. yes. Angle SQR= 60 and angle SRQ= 60 so 5Q = SR . 59. 34 degrees 60. 31 degrees 39. 30 sides 40. 18 sides 61. 46 degrees 62. 20TT 63. 79 / TT 64. 6 TT or about 18 inches 65. 427T or about 126 inches 66. The degree measure is from 0 and 360 degrees, meaning the section of the circle. The arc length is proportional to the degree measure and depends on the radius of the circle. 67. 2u feet 68. 287T / 3 cm 41. B = C = 138, D = 42 69. 14 TT cm 42. 43. 44. 45. 46. C 36 cm segments OP, AO, OC 114 degrees 130 degrees 47. 140 degrees 48. x = 27 and y = 54 degrees 49. 6 inches : : * 1' fc r i NAME: 'v . SECOND SEMESTER EXAM TEST REVIEW HAMILTON HIGH SCHOOL r V 1 PERIOD: QUADRATIC EQUATIONS & PARABOLAS . ; 1. FOP each quadratic equation below, tell whether the graph of the equation will open up or down, and whether it will have a maximum or a minimum. i Si a. y = 3x 2 - Ax - 5 u\p YY\ )Y\ b. y = - x 2 + 1 ~ f\ c. y - -5x 2 down down M X . (o f V “I x 2 k- iofevc h > ' ^ ^ X -fc »0 gHwa ^ < t US : KO- 2( t O y = ( x- 1 - - ' , - 3.)(* -1) ' ' . ‘ i-^t ? -r r ~lsO y vof K3 x '?? . • x ^ • ' ^ ~ YrM < i ^^ - ? j ' ' \^~ 4% W/v - Y ; 7= * . - 3x-u4 V • US yd "( j U X+l Vr C. 1 < « i y . ' *: i ¥ 9 " ^ ~ X+3~ 0 x- 3 0 X-- -3 V-MI- '« x(, ms [W \ \Mv ' i ) 5. Look at your graphs for question #4. If you were asked to identify the "solutions of the equation" just by looking at the graphs, what would you look for? Give the "solutions of ' the equation" for a-d on question #4. S>f)\ \ jMMS ' dVc X - 'l { \ b; x - ' X -W' ; ; 1 ; ccpk. ^ , K - X " ^,3 C- X ' 1 3 ! \ [ ( i i : 7. Factor each expression below. . a. x2 - 7 + 10 c. b x 2 + 5.x: - 14 * (xn')(v - 2 ' ) ^ 2 -9 2 * - 42* &( X -l d. 6 MH) - MONOMIAL EXPRESSIONS MULTIPLICATION AND DIVISION 8. Explain the rules for each operation described below. Include examples. A. Addition of monomials (Include WHEN can you add them?) B. Multiplication of monomials . A4 2 s N E . 3 (4 F. 5 10 * 25 5 * * J jj/ * G. ( 6 *3 * D. slf -taV ( - =- 5 ( 4/ X3/ ) 3y 4 -UN 1 3NI 4 _ to *f'OU 1S --16 = ! • - Solve each equation below. Show all steps. 13. j 3 ylm + 4 - 9 A. F. 3> 2 N ' It ( 25 \ * 5JC 2 - 2 = 123 -w tz - 2( 3x - 5)2 3. * Xs 3x~6 L( ^)X ~ cF li ' + = -28 —M * -M ' •I’ 3M -. \T 3 foM* * riy -fc 3 4A'2 - 12 - 40 * .4/1X3^10) ft+sYx+z} ) 1 3V $ -® ± H FACTOR THESE EXPRESSIONS: _4 _ =4 * *» * 1. + 5) 2 ^ z5° 14. ^4 4 5 e X = Z5 Vs E. 1=±6! (N+S V5* - 3 = 7 SX 3 * - 43 5\ =* 3x D. - 36 = 0 ^ ^3Xf 3 x-l - x2 X 3b yj 5 x - 7 = 3 x + 3 c. = 2 IrivS B. ia jr + -6 SMVV\ 5 ; » y I V 1 ACCELERATED MATH 1- 2- 3 FINAL EXAM REVIEW Name: Period: 1. Define concave and convex polygons and draw a picture of each. - no S CwvtX £3 [A ] C, F , E 2. Which set of three points is collinear? no ^ vio^ dw cW'l ^ [ B ] A, B , 0 HQ [CJ D , B, F [D ] B , E , O 3* ! i 3. ' If the perimeter of a regular hexagon is 30 inches, how long is each side? 39 ! L7 4. If quadrilateral i ABCD \ s congruent to quadrilateral UVWX, then BC ii i *^^^**m is congruent to . T W 5. Write the definition for the radius of a circle. k xaim k N / H (2i + 133)” (4x + ll)° B3J 14. Solve for X. lx + ^ 3*+- 2^2. 15. Write the converse of the following statement and determine whether it is true. Provide a counterexample, if appropriate, to support your conclusion. If a triangle has two angles that each measure 60 degrees, then it is equilateral. a e \s ( !Aa \ 1 m & tim iU vc k L % 5:J ; ^^ \ i : i I fy .X ! 1 ; * • * 1 22! Solve for X. 1 / \ 0 \ R T U , 23. If LM + LN = 22 inches, what is ; V % M L 24. Decide whether the set of line segments could form the sides of a triangle. c I \ . \ 6 r \ \i " A - i V ; a 25. What is wrong with this picture? Describe how to correct the picture. Q f 54 cm 17 cm P 31 cm R i : * I ! I ( (K ) : t ! ' ' " p * V * I * t 30, Determine which triangles in the figure are congruent by ASA. A, . D A C [A ] A ABC s A AOC ( [B] AABDzAADC s [C ] A ABO a ACBO [D ] &.CBO = AABC 31. Given: BO bisects AC , ABa BC Show: ACBOaAABO B > r A D * C * K 32. Given: AOCA s ABCA, AB a AO - Show: AB AO \ * ; ) ) } : 33. Find the number of sides of a convex polygon if the measures of its interior angles have a sum of 10,440°. . 34. Find the sum of the measures of the angles of a hexagon. o )i s \% i v \ V. J r I ; i ! i : r •i ) V t n 1 t 43, Find the perimeter of ARTQ , given QRSTis a rectangle. 12 cm R \ S r \z 15 9 cm i Q . > \ 2- T “ 44. Name all the line segments that are congruent to BO in the square BADC . \ k: 0\ \ ,r i. ; i « 46. AC is a diameter of circle Oand mABAC = 25° . Find mAAOB. i<6o - St ) 0 IS 7 I \ I I 1 50. If AB = 13 millimeters, what is the length of BCf 51. CD = EF OM = 5 meters ON = [A ] 5 m [ B] 10 m ? 52. In circle O, PA and PB are tangents. PD bisects ZBPA. qo +J1 131 V& 0 - \?J\ If mZAOP = 49°, find the measure of ZAPO. 0 [C] 2.5 m [D ] 7.5 m > « V 9 1 \ r 57. Segments AB and AC are both tangent to circle D. x - _? m - 13 H -V 2 = 58. Determine whether SR is tangent given that 5c? is tangent . Explain why or why not. I’ p. t I- 59. d = 7 " Sb s ! i ! * i ; r 66. Explain the difference between the degree measure of an arc. and its arc length. 1 \ 67. Length of Wi ? is Vt\ C m . _ 3&0 ) ' OUSUte 0 J 12 cm 1. * O _ li = i oV 0 dur ^ ®ir 3 I 69. Length of CPD ' ? is . 150° ~ ( bo V 12 cm o 2J& 0 - !5 0 aio 2 0 0 * 0° “ 7 21 % = Iz of C a -XTF XL.i*- Ut JLlxIL 74 / _ \ \ "

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