Math 000 Final Eam Review Questions 1. Simplif: 4 8i + 8 ( 7). Simplif: 11 ( 9) + 6(10 4) + 4. Simplif ( 5 + 7) ( ) 8 6 4. Simplif: (4 ) 9 i 5. Simplif: 4 7 6. Evaluate 4 + 5 when = and = Write each of the values below in decimal or standard notation. 7..11 5 10 8. 1.01 10 9 Write each of the values below in scientific notation. 9. 87,000,000 10. 0.000017 Solve for. 11. ( ) + 5 = 8( 1) 1. 1 1 + = 1+ 5 5 1. + = 6
Math 000 Final Eam Review Questions For each problem define a variable in words, write an equation, solve algebraicall, and write our answer in a complete sentence. 14. Seven subtracted from five times a number is 08. Find the number 15. An 87-inch board is cut into three pieces. The longest piece is 10 inches longer than twice the shortest piece and the middle-sized piece is 17 inches longer than the shortest piece. How long are the pieces? 16. A landscape architect charged a customer $971, listing $50 for plants and the remainder for labor. If the architect charged $ per hour, how man hours did the architect work? 17. A universit with 176 people on the facult wants to maintain a student-to-facult ratio of :. How man students should the enroll to maintain that ratio? 18. To earn a B in a course, a student must have a final average of at least 80%. On the first three eaminations, a student has scores of 76%, 74%, and 78%. What must the student earn on the fourth eamination to earn a B in the course? 19. A motorccle traveling at 50 mph overtakes a car traveling at 0 mph that had a three-hour head start. How far from the starting point are the two vehicles?
Math 000 Final Eam Review Questions 0. Solve the inequalit, show the solution in set notation, interval notation and graphed on the number line. 0 < 5 1. Solve the inequalit, show our solution in set notation, interval notation and graphed on the number line. + (4 + ). Sketch the line 5 + 4 = 0 using - and -intercepts and a checkpoint on the ais provided. Label the and intercepts.. Sketch the line = 6 using - and -intercepts and a checkpoint on the ais provided and label the and intercepts.
Math 000 Final Eam Review Questions 1 4. Use the slope and -intercept to sketch = + on the aes provided. State the slope and the -intercept. 5. Sketch the line with slope points on the graph. m = that contains the point ( 1, ). Label the given point and at least other 6. Find an equation for the line with -intercept of 4 and parallel to the line =. Leave the final answer in slope-intercept form. 7. Find the slope of the line that passes through the points (, -4) and (5, 0). 8. Find an equation for the line with undefined slope which passes through the point (-7, ). 9. Find an equation for the line parallel to the line = - which passes through the point (, -1)
Math 000 Final Eam Review Questions Perform the indicated operations. Leave our answer in simplified form. 0. ( 9 1) ( 4 11) + + + + + 1. (7 8 + 11) (7 + 9 + 1). a b(7a b ab 4 a) +. ( + 4)( + 1) 4. ( 11) + 5. ( 9)( + 9) Completel factor each of the following epressions. If the epression cannot be factored write PRIME. 6. m + 1m + 6 7. p 100 8. r + r + 9. t + t 15 40. v v 41. + 8 + 6 4. Simplif each epression. Leave our answer in the form of a simplified radical, if necessar. a. 49 54 6 b. 5 16 c. 5 16 d. 16 4. Use the product rule for square roots to simplif. DO NOT use a calculator to approimate an answer. a. 7 b. 40 c. 4 d. 700
Math 000 Final Eam Review Questions 44. The length of a rectangular garden is 4 feet longer than the width. If the area of the garden is 140 sq. feet, find the dimensions of the garden. Solve the quadratics using the method of our choice. 45. 16t 4 = 0 46. + = 10 47. 8 + = 1 Perform the indicated operations and simplif the answer. 48. 6 i 49. + + 1 + + m m m m m m 50. p 7 p + 1 + p p 51. 5 1 n n n n n n 5. k 6 = k + 15 5. Solve P = l + w for w 54. Solve S = P + Pr t for t
Math 000 Final Eam Review Questions 55. If m = 15, find the measure of the remaining angles. 1 4 56. If m A = 6 and m B = + 5 and the angles are supplementar, find the measure of the angles. 57. In the given figure MP NQ and AB BC M B 4 5 P N A 1 65 C Q a) Classif triangle ABC in the figure above. a. b) Find the measures of angles 1-5 in the figure above. m 1= m = m = m 4 = m 5= In the given figures, find the measures of the remaining angles. 58. C 59. 0 C ( ) A B A ( 0) B
Math 000 Final Eam Review Questions 60. Answer the following true or false: a. An obtuse triangle can have obtuse angles. b. All isosceles triangles have congruent sides and two congruent angles. c. An equilateral triangle is also equiangular. In eercises 61-6 use the figure below where ABC MOP. B O A C M P 61. Name the congruent angles and the congruent sides. 6. Find BC if AB = 8, MO = 104 and OP = 78. 6. Find the height of a tree that casts an 80 foot shadow at the same time that a telephone pole 18 feet tall casts a 1 foot shadow. 64. Use the Pthagorean Theorem to find the length of BC the right triangle below. Leave our answers in simplified radical form. Assume all units are in centimeters. A 10 cm 1 cm C B 65. Solve the following problem b A) defining a variable, B) writing an equation, C) solving the equation and D) answering the question in a complete sentence. A 1 foot ladder is set 5 feet from the base of the wall. How far up the wall will the ladder reach?
Math 000 Final Eam Review Questions 66. If l m and t is a transversal, find and m θ justif the answer. m l (4 ) ( + 0) θ t 67. If l m, find and justif the answer. l m 1 145 4 5 68. Complete the following table: Polgon heagon triangle octagon quadrilateral pentagon Number of sides of polgon 69. Find the area and perimeter of the figure. 10 in. 5 in. 4 in. 1 in. 70. Find the circumference and area of the following circle. Leave our answer in terms of π. 6 ft.
Math 000 Final Eam Review Questions 71. Find the volume V and surface area S of the right prism. 4 ft. 7 ft. ft. 7. Find the volume V and surface area S of a square pramid with height 10 feet, slant height 1 feet and base 8 feet. Leave answers in fractional form with the correct units attached. 7. Find the volume V and surface area S of a sphere with radius cm. Leave answers in terms of.
Math 000 Final Eam Review Questions 1. 5. 4. -19 4. 16 5. 9 6. 9 7. 0.000011 8. 1, 01,000,000 7 9. 8.7 10 10. 1.7 10 5 11. = 1. = 7 1. = 4 14. The number is 4. 15. The lengths of the pieces are 15 inches, inches, and 40 inches. 16. The architect worked 7 hours. 17. The should enroll 04 students. 18. The student needs 9% or better on test 4 to earn a B in the course. 19. It is 5 miles from the starting point. 0. { > 150}, ( 150, ) 8 1. 7, 8, 7.. 4. 5.
6. = + 4 7. m= 8. = 7 9. = -1 0. + 5 + 4 + 10 1. 17 +.. 4. 1 1 6 10 + 4 6 a b + 4 a b 4 a b 6 9 + 5. 81 6. ( + 6) 5 4 7. ( p 10)( p + 10) 8. PRIME 9. ( t + 5)( t ) 40. (v )( v + 1) 41. ( + )( + 1) 4. a. 1; b. ; c. 1; d. 4. a. 6 ; b. 10; c. 4; d. 10 7 44. The dimensions of the garden are 10 ft 14 ft 1 45. t = ± 5 46. =, = 1 1 47. =, = 48. 1 49. m 50. n + 8 51. 5. k = 4 Math 000 Final Eam Review Questions 57. isosceles triangle, m 1 = 65, m = 115, m = 65, m 4 = 50, m 5 = 65 58. m A = 80, m B = 80 59. m A = 40, m B = 5, m C = 105 60. a. false, b. true, c. true 61. A M, B O, C P and AB MO, BC OP, AC MP 6. BC = 6 6. The tree is 10 feet tall. 64. BC = 11 cm 65. The ladder will reach 1 feet up the wall. 66. = 5, θ = 80 67. = 7.5 68. 6,, 8, 4, 5 69. A = 46 sq in P = in 70. A = 9π sq ft C = 6π ft 71. V = (4)(7)() = 56 cubic ft S = (8)+(14)+(8) = 100 sq ft 7. 7. 640 V = cubic ft, S = 56 sq ft V = π cubic cm, S = 16π square cm 5. 54. P l w = S P t = Pr 55. m = 15, m 4 = 15 m 1 = 45 m = 45 56. m A = 150 and m B = 0