x 2 = 2x + 76 ( 2,  )( 2, 2 )(  , 2 )5 k 2k5k2+17k 17 5.3x2+ 5.1x + 2.7 = 0 1. Evaluate the polynomial function:f (x) = 2 x2 3 x + 8 for x = 3Choose the answer from the following.a. 18b. 1c. 17d. 352. Factor by grouping x2 16x + 15 xy 240 y.Choose the answer from the following:a. (x 15y)(x 17)b. (x + 17y)(x + 18)c. (x 16y)(x + 16)d. (x + 15y)(x 16)3. Solve the equation . Give the apparent solutions. Cross out the wrong one. Choose the answer from the following:a. 84b. 11c. 12d. 11e. no solutionsf. 104. Solve the inequality: 32 x > 64.Select the correct answer:a. b. c. 5. What is the numerator and what is the denominator of the following complex fraction?a. Numerator: 7k2 k3 + 2k; Denominator: 5 + 17k 19k3b. Numerator: 9k2 k3 + 2k; Denominator: 5 20k + 17kc. Numerator: 5k2 k3 2k; Denominator: 5 + 17k 17k2d. Numerator: 6k3 k2 2k; Denominator: 5 + 18k 17k26. Use the quadratic formula and a scientific calculator to solve the equation . Give the answers to the nearest hundredth. Choose thecorrect answer from the following:a. 0.38, 1.34b. 0.38, 1.34c. 0.38, 1.34d. 1.34, 1.34e. 0.38, 0.38MAT 1033Final ReviewA. Acosta_______________________________________________________________________________  7d 33d 1d 13d + 17d 13d 13d + 17d + 17. The denominators of two fractions are x3 + 1 and x2 + 2 x + 1. Find the LCD.Choose the answer from the following:a. (x 1) 3b. (x 3 + 1)(x + 1)c. x 3 1d. (x + 1) 38. What is the ratio of the width of the opening of the ice tongs to the width of the opening of the handles? Express the result in simplest form. Let a = 14, b = 6.a. b. c. d. MAT 1033Final ReviewA. Acosta_______________________________________________________________________________  8x + 5y < 45x + 5y < 2{9. Graph the solution set of:Select the correct answer:a. b. c. MAT 1033Final ReviewA. Acosta_______________________________________________________________________________ y  x 2y  4x + 1{10. Find the solution set of:Select the correct answer:a. b. c. MAT 1033Final ReviewA. Acosta_______________________________________________________________________________ ( 336x + 4)318 x + 108 5832 x 17285832 x + 1728 18 x 108162 x + 108 162 x 10815, 1445, 1415,1445,148an2r16anra2n2n22a2 5  5  7  y  y  b  b  b,5  7  7  y  b  b  b  b,5  7  7  3  y  y  y  b  b11. Simplify the expression . Choose the answer from the following:a. b. c. d. e. f. 12. Use the quadratic formula to solve the equation: 11 x + 4 = 20 x2.Choose the correct answer from the following:a. b. c. d. 13. Simplify the expression by rationalizing the denominator. All variables represent positive real numbers. Choose the correct answer from the following:a. b. c. 14. The muzzle velocity of a cannon is 304 feet per second. If a cannonball is fired vertically, at what times will it be at the height of 1408 feet?Note: Use the formula h = vt 16t2 where h is the height in feet, v is the velocity in feet per second and t is the time in seconds.a. 12 sec., 9 sec.b. 13 sec., 10 sec.c. 14 sec., 11 sec.d. 11 sec., 8 sec.15. Factor the polynomial.16 z4 256 d4a. ( 4z2 + 16d2 ) 2b. ( 4z 16d ) 2( 2z + 4d )( 2z 4d )c. ( 4z2 + 16d2 )( 2z + 4d )( 2z 4d )16. The prime factorizations of three monomials are shown:Find their GCF. Choose the answer from the following:a. 35y2bb. 35yb2c. 35yb3d. 3675y 3b3MAT 1033Final ReviewA. Acosta_______________________________________________________________________________  2 1111( 2 + 1 )12 1 + 112 1(x + 6) 1x2+ 13x + 421x 71x + 81x + 717. Use the square root property to solve the equation x2 = 9. Choose the answer from the following:a. x = 9, x = 9b. x = 2, x = 4c. x = 5, x = 0d. x = 3, x = 318. Solve the equation.x3 + 17 x2 + 72 x = 0a. 10, 11, 0b. 7, 9, 9c. 9, 10, 10d. 8, 9, 019. Rationalize the numerator in Choose the correct answer from the following:a. b. c. 20. The costs incurred by a trucking company vary jointly with the number of trucks in service and the number of hours they are used. When 5 trucks are used 7hours each, the costs are $3150. Find the costs of using 13 trucks, each for 12 hours.a. $70200b. $14040c. $37800d. $4095021. The length of time that a given number of bushels of corn will last when feeding cattle varies inversely with the number of animals. If x bushels will feed 15 cowsfor 12 days, how long will the feed last for 20 cows?a. 4.5b. 9c. 45d. 1822. Simplify the expression: .a. b. c. x + 7d. x + 8e. MAT 1033Final ReviewA. Acosta_______________________________________________________________________________ 427431319311210 [ ( x + 6 )1/5]5x + 61x + 61x + 66a3+ 5a2+ 8+ 3a3+ 9a 63a3 2a2+ 8a + 9 23. Simplify the complex fractiona. b. c. d. 24. The denominators of two fractions are 32 a2b and 20 ab2. Find the LCD. Choose the answer from the following:a. 40a 2b 2b. 4abc. 160a 2b 2d. 640a 3b 325. Solve the equation by completing the square: 6 x2 60 x 144 = 0. Choose the answer from the following:a. x = 12, x = 2b. x = 60, x = 6c. x = 12, x = 0d. x = 12, x = 226. Simplify the expression: Choose the correct answer from the following.a. b. x + 6c. d. 27. Do the addition.Choose the answer from the following.a. 6a 3 + 17a 2 + 3a + 11b. 6a 3 3a 2 17a + 11c. 12a 3 + 7a 2 + 17a + 23d. 6a 3 + 3a 2 + 17a + 11MAT 1033Final ReviewA. Acosta_______________________________________________________________________________  3  x < 4 5a + 10 +8a 755a + 10 +58a 78a 7 +55a + 1028. Select the correct graph of the following compound inequality:a. b. c. 29. If a polynomial is divided by 8 a 7 and the quotient is 5 a + 10 with a remainder of 5, how should the result look? Choose the answer from the following:a. b. 5a + 10 + 5c. d. MAT