Math 0200 Final Exam Review Questions

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1 Math 000 Final Eam Review Questions 1. Simplif: 4 8i + 8 ( 7). Simplif: 11 ( 9) + 6(10 4) + 4. Simplif ( 5 + 7) ( ) Simplif: (4 ) 9 i 5. Simplif: Evaluate when = and = Write each of the values below in decimal or standard notation Write each of the values below in scientific notation ,000, Solve for. 11. ( ) + 5 = 8( 1) = = 6

2 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?

3 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 = 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.

4 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)

5 Math 000 Final Eam Review Questions Perform the indicated operations. Leave our answer in simplified form. 0. ( 9 1) ( 4 11) ( ) ( ). 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 p r + r + 9. t + t v v Simplif each epression. Leave our answer in the form of a simplified radical, if necessar. a b c d 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

6 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 t 4 = = = 1 Perform the indicated operations and simplif the answer i m m m m m m 50. p 7 p p p n n n n n n 5. k 6 = k Solve P = l + w for w 54. Solve S = P + Pr t for t

7 Math 000 Final Eam Review Questions 55. If m = 15, find the measure of the remaining angles 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 C ( ) A B A ( 0) B

8 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 = 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?

9 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 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.

10 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.

11 Math 000 Final Eam Review Questions , 01,000, = 1. = 7 1. = The number is 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,

12 6. = m= 8. = 7 9. = a b + 4 a b 4 a b ( + 6) ( 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 The dimensions of the garden are 10 ft 14 ft t = ± =, = =, = m 50. n k = 4 Math 000 Final Eam Review Questions 57. isosceles triangle, m 1 = 65, m = 115, m = 65, m 4 = 50, m 5 = m A = 80, m B = m A = 40, m B = 5, m C = 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 = = ,, 8, 4, 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 V = cubic ft, S = 56 sq ft V = π cubic cm, S = 16π square cm P l w = S P t = Pr 55. m = 15, m 4 = 15 m 1 = 45 m = m A = 150 and m B = 0

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