HQPD - ALGEBRA I TEST Record your nswers on the nswer sheet. Choose the best nswer for ech. 1. If 7(2d ) = 5, then 14d 21 = 5 is justified by which property? A. ssocitive property B. commuttive property C. distributive property D. ddition property of zero 2. Which property would justify the following expression? 6x + = + 6x A. ssocitive property B. commuttive property C. distributive property D. ddition property of zero. Which property would justify the following expression? 5( 6) = (5 )6 A. ssocitive property B. commuttive property C. distributive property D. multipliction property of zero 5. Which is the eqution tht describes this tble of vlues? x -1 0 1 2 y - -4-5 -6 A. y = x + 4 B. y = x 2 C. y = -4 x D. y = x 8 6. Which eqution represents the tble below? n 4 5 6 p 2 1 0-1 A. p = n 5 B. p = 5 + n C. p = 5n D. p = 5 n 7. Wht is the vlue of 62 estimted to the nerest tenth? A. 7.8 B. 7.9 C. 0.5 D. 0.6 8. The cost, c, of prking cr in hotel lot is given by the formul, c = 0.75h + 2.50 where h is the number of hours prked. Slly pid $6.25 for prking, how long did she prk? A. 2.5 hours B. hours C. 5 hours D. 5.5 hours 4. The formul relting Fhrenheit nd Celsius temperture is 5( F 2) C = If the temperture is 85 F, which number is the corresponding Celsius temperture? 9 A. 5 C B. 4.6 C C. 29.4 C D. 265 C 9. Solve P = 2L + 2W for W. A. W = ½P 2L B. W = P 2L C. W = P L D. W = P 2L 2
10. Which eqution is the solution of 4x + 9 = 25? A. x = 8 B. x = 4 C. x = -2 D. x = 64 16. Which eqution represents the sum of three times number nd 5 is 14? A. (x + 5) = 14 B. x + 5 = 14 C. x 5 = 14 D. (x 5) = 14 11. Wht is the vlue of 2 2 b + 5b 4 if = - 4 nd b = 5? A. -264 B. -144 C. D. 56 17. A rectngle hs perimeter of 0 inches nd length of 11 inches. Wht is the width? A. 0 inches B. 8 inches C. 19 inches D. 4 inches 12. Wht is the solution of the inequlity 5x > 7 A. x = 2 B. x > 2 C. x < 2 D. x > 2 18. Solve: 5g + 25 = -15 A. -8 B. 8 C. 2 D. 2 1. Which of the following sttements is NOT true if > b? A. + > b + B. 7 > b 7 C. 5 > 5b D. 2 > -2b 14. Solve: 5(2x ) = 6x + 9 A. 1.5 B. C. 2 D. 6 15. Which of the following is n lgebric expression for the verbl expression: 7 less thn three times number? 19. Solve: 6x 7 = -4 1 A. 2 B. 2 11 C. 6 20. Solve: 7n 11 = 12n + 19 8 8 A. 6 B. C. - 5 5 D. 21. Stte the property illustrted by 1 =. A. Substitution property B. Reflexive property C. Commuttive property D. Multiplictive identity property D. None of these None of these A. 7 x B. x 7 C. 7 < x D. none of these 22. Solve: 6(x + 5) = -2(x ) A. 1 B. 1 C. D.
In #2 25, wht symbol cn replce the mke ech sttement true? 7 2. 7 A. = B. > C. < 24. 4 15 5 19 A. = B. > C. < to 28. Which of the following illustrtes the commuttive property of ddition? A. 7(w + ) = 7w + 21 B. 7(w + ) = (w + )7 C. 7w + = + 7w D. (7 + w) + 4w = 7 + (w + 4w) 25. 11 15 17 8 A. = B. > C. < 29. 9x 5 + x + 16 =? A. 9x + 21 B. 9x - 11 C. 10x + 11 D. 10x + 21 26. Which mtrix represents the difference of the following mtrices? 0. The blnce scle below is blnced by the weights shown. Find the weight of 1 circle if ech block weighs one pound. 2 1 4 1 5 6 0 1 1 - -1 A. B. 7 5-5 -5 A. 1 lb. B. 2 lb. C. ½ lb. D. 4 lb. -1 7-1 7 C. D. 7-5 -5-5 27. Solve x + b = c for x. A. x = c-b C. x = b+c B. x = c - b D. x = c - b - 1. Wht is the element in the first row nd second column of the sclr product of 2 10 8 0 9 A. 0 B. 24 C. 7 D. 24
2. Which property of rel numbers justifies going from Step to Step 4 of the solution shown below? Given: -(4x + 2) + 7x = 9 Step 1: -12x 6 + 7x = 9 Step 2: -5x 6 = 9 Step : -5x = 45 Step 4: x = -9 6. The volume of gs vries inversely s the pressure. If the volume is 80 cubic meters under 4 kg of pressure, find the volume under 10 kg of pressure. A. 2 cu. meters B. 200 cu. meters C. 20 cu. meters D. 2000 cu. meters A. Distributive Property B. Addition Property of Equlity C. Additive Inverse D. Division Property of Equlity 2 4 4. If A= nd B, 2 1 = 2 2 wht is the sum of A + B? 7. Which of the following tbles represents direct vrition? A. B. 2 2 4 6 4 8 5 2 6 4 4 6 2 C. D. 2 6 4 12 6 18 8 24 9 2 8 7 4 6 5 6 1 6 8 1 0 A. B. 0 6 0 6 6 1 9 8 1 9 C. D. 0 9 0 9 4. y vries directly s x. If y= 24 when x=, find y when x = 4. A. 2 B. 9. C. 18 D. 2 8. An electricin uses the following formul to compute the cost of repir cll: T = f + rh, where f is the flt fee for the service cll, r is the hourly rte, nd h is the number of hours for repir. Find the vlue of T if f = $55, r = $5, nd h = 2. A. $92 B. $125 C. $180 D. $1.995 5. The cost of gold vries directly s its mss. If grms of gold cost $225, find the cost of 7 grms of gold. A. $96.40 B. $525 9. A mp scle uses 8 cm to represent 28 miles. How mny miles would 2 cm represent on the mp? A. 7 mi B. 14 mi C. 112 mi D. 4 mi C. $225 D. $550
40. At Prk High School, out 4 seniors hve prt time jobs. There re 75 seniors with prt-time jobs. Find the totl number of seniors. A. 75 B. 100 C. 200 D. 150 45. x Input f(x)= 2x - 5 Output Using the function mchine in the digrm, wht is the output when 12 is the input? f(x) A. 7 B. 8.5 41. Use the formul d = rt where d is the distnce, r is the rte, nd t is the time to find how long 450 mile trip will tke if you trvel 50 mph. A. 22,500 hours B. 9 hours C. 15 hours D. 2 hours C. 19 D. 29 For 46 50, determine if ech reltion is function. Use A = yes nd B = no. 46. {(4, ), (-2, 5), (-1, 5), (9, ), (7, )} 42. In which qudrnt does the point (5, -2) lie? A. I B. II 47. {(, -2), (-2, 2), (1, -2), (, ), (-7, 0)} 48. C. III D. IV 4. Wht is the loction of the point (4, 0)? A. Qudrnt II B. Qudrnt III C. x-xis D. y-xis 49. 44. Nme the domin of g if g = {(, 5), (1, -7), (-2, 9), (6,0)} A. {, 5, 1, 7} B. {, 1, -2, 6} C. {5, -7, 9, 0} D. {, -7, 9, 6} 50. -2 4 7 8 5 9
51. If h = {(2,6), (-4, -8), (-, 6), (0, -4)}, stte the rnge. 54. A. {2, -4, -, 0} B. {2, 6, -8, 4} C. {6, -8, -4} D. {6, -8, 0, -4} A 2 52. If f ( x) = x-6 -, wht is f(15)? A. 4 B. 8 C. 12 D. 21.5 B 5. C D 55. Wht is the slope of the line tht contins P(1, 1) nd Q(5, 4)? A. 4 B. 4 C. - 4 D. - 4 56. Find the slope of the line contining the points (5, 2) nd (4, 2). 2 A. B. 0 C. undefined D. - 2
57. 58. 59. Which is n eqution of the line tht psses through (, 9) nd hs slope of 5? A. y = 5x + 9 B. y = 5x + 6 C. y = 5x + 15 D. y = 5x 6 60. Which grph hs n undefined slope? A. B. C. D.
61. Write n eqution of the line tht corresponds to the following tble: 0 7 1 9 2 11 1 A. y = x + 7 B. y = 2x 7 C. y = 2x + 7 D. x + y = 7 65. 6 x 2 Which expression correctly represents the re of the rectngle bove? A. 8x B. 6(x + 2) C. (x + 2)(x + 6) D. x 2 + 2 62. Wht is the slope of the line whose eqution is x 2y = 8? -2 2 A. B. C. D. 2 66. If 0, ( -2 )( 2 ) = 1 A. B. 1 C. 0 D. 2 2 6. Which is n eqution for the line tht psses through (0, 2) nd (- 2, 0)? A. y = -x B. y = x + 2 C. y = -x 2 D. y = x 2 64. Which expression is equivlent to ( + b)(2 4b)? A 5 b B 6 2 4b 2 C 5 2 10b + 5b 2 D 6 2 10b 4b 2 67. The re of rectngle is given by A = 6x 2 y + 4y 2 x nd the width of the rectngle is w = 2xy. Wht is the length, l, of the rectngle if A. B. C. D. l = A w 2 l = + 2y 2 2 l = 6x y + 4y x + 2xy l = 4 x + 2y l = x + 2y 68. Ron Pid $75.00 for 5 compct disks nd cse. If the price of ech compct disk ws $12.60, wht ws the price of ech cse? A. $12.00 B. $12.50 C. $15.00 D. $6.00 2 x
69. Which is the complete fctoriztion of the trinomil x 2 x 12? A (x + )(x 4) B (x )(x + 4) C (x + 6)(x 2) D (x + 12)(x 1) 70. Which is closest to the vlue of A 0.8 B 1. 17 10? 72. 5 4 2 1 - - - - - 0 1 2 4 5 - - - - - Which tble most likely mtches this grph? A y 2 0 2 2 0 1 x C 1.7 D 2.6 B 1 0 2 1 71. 0-5 2 - - 2-7 4-1 - 4-9 Using the sme reltionship between x nd y s in the tble, wht is the vlue of y when x is 8? C D 0 2-4 1 0 0 1 2 2 4 A -1 B 2 C D 5
7. (0, -), (2, -2), (4, -1), (6, 0), These ordered pirs follow pttern. If (10, y) is in this pttern, wht is the vlue of y? A. 1 B. 2 C. D. 4 Use the grph below to nswer questions 77 nd 78. b y 74. 2x 6 = 2y 2x = y Wht is the solution to this system of equtions? A x = - 2, y = - B x = 0, y = - C x = 1, y = - 2 D x = 2, y = - 1 77. The ordered pir (, 2) is the solution of the system of equtions represented by lines A nd c B nd d C b nd d D b nd c d x c 75. Wht is the simplest form of (9c d 4 )(-6c 4 d 5 ) A 7 d 9 B cd C 54c 7 d 9 D 54c 12 d 20 78. Lines c nd d represent system of equtions. How mny solutions does this system hve? A exctly one B exctly two C none D infinitely mny 76. Simplify: A. B. 12 C. D. 9 27 6 79. Find the vlue of x in this system x y = 5 x + y = A 8 B 4 C 2 D ¼
80. Simplify: (9m 2 + 4m 6) + (m 2 2m + 4) A 10m 2 + 2m 2 B 9m 2 + 2m 2 C 10m 2 + 2m + 2 D 9m 2 + 2m + 2 81. Find the difference of 6w 2 5wz z 2 ( ) 4w 2 + 6wz 8z 2 A 10w 2 + wz 11z 2 B 2w 2 11wz + 5z 2 C 2w 2 + wz 11z 2 D 2w 2 11wz 5z 2 82. Fctor: m 2 + 14m 5 A (m + 1)(m 5) B (m 1)(m + 5) C (m + 5)(m 1) D (m + 1)(m 5) 8. Find the GCF of 12x y 4 z nd 6x 2 y A 6x y 4 z B 6x 2 y C 2xy D 60x 2 y 2 84. Wht is the solution set of the eqution 2x 2 5x =? A {-1/2, } B {-1/2, -} C {1/2, } D {1/2, -} 85. Wht is the solution set of the eqution x 4x = 0? A {-4, 0, 4} B {-2, 0, 2} C {-4, 4} D {-2, 2} 86. Wht is the simplest form of (x + 6) 2? A x 2 + 6 B x 2 + 12 C x 2 + 12 x + 6 D 2x + 12 87. Wht is the simplest form of y 5 y? A y 15 B y 8 C 2y 8 D 2y 15
91. 88. Wht is the simplest form of mn 6mn 2mn 5 2 2 7 5 A B m n C mn D 4m n 89. Which of the following is fctor of 5x 2 + 17x 12 92. Which is equivlent to (2x 2 )? A. 8x 6 B. 6x 6 C. 8x 5 D. 6x 5 A (5x ) B (5x + ) C (x 4) D (5x 4) 9. 90. A. t = (0.02)[1.90 + (1,00 600)] B. t = 190 + (0.02)(600) C. t = (190 + 600)(0.02) D. t = 190 + (0.02)(1,00 600) A. w 19 B. 6w 8 C. 2w 2 19w D. 2w 2-19
94. 96. A. B. C. D. 95. 97. A. x 2 x 5 B. x 2 7x 5 C. x 2 + 7x 5 D. x 2 + x 5
98. 100. A. B. A x = 5 cm B x = 10 cm C x = 15 cm D x = 20 cm C. D. 99. Note: Most of the bove questions re compiltion of relesed items from the EOC test for Algebr between 2000 nd 2006. Some hve been dpted nd others re the cretion of the uthor of the Institute.