Math 092 Practice Final #3 GEOMETRY FORMULAS Circle: C 2 r or C d A r2 Triangle: A= 1 Rectangle: P = 2L + 2W A=L∙W Cylinder: V r 2h 4 V r3 3 1 b∙h 2 Rectangular Solid: V = L∙W∙H 1 Cone: V r 2 h 3 Sphere: ________________________________________________________________________ 1.) Add and reduce, if possible: 2.) Write in words: 3 2 4 3 16.023 2 3.) Simplify using order of operations: 1 3 3 3 8 4 x 15 5 3 5.) Convert to a fraction and reduce to lowest terms: 5 6.) Convert to a percent. 8 5 4 7.) Multiply and reduce, if possible: 8 15 4.) Solve for x: 0.012 8.) Find the sale price of a shirt usually priced at $35 if it goes on sale for 40% off. (6 x 3 y ) (3x 5 y ) 9.) Simplify: 10.) Find the volume of a cylinder if the radius is 3 cm and the height is 12 cm. (Leave your answer in terms of ) 3 9 11.) Add and reduce, if possible: 20 20 12.) Find the area and perimeter of the rectangle below: 2 meters 4.3 meters Math 092 Practice Final #3 2 13.) Round 36.24531 to the nearest 100th. 14.) Divide: (24) ÷ (-6) 15.) Find the supplement of an angle which measures 72°. 16.) Find the missing side of the right triangle below: 12 15 17.) Answer TRUE or FALSE (explain your answer!): 2 4 8 9 9 9 18.) Answer TRUE or FALSE (explain your answer!): (7) 2 49 19.) Divide: 3.302 ÷ 1.3 20.) Find the circumference of a circle with diameter 14 feet. (Leave your answer in terms of ) 21.) Convert to a fraction and reduce to lowest terms: 16% 7 ______ 0.07 22.) Fill in the blank with < or >: 10 23.) Find the prime factorization of 144. 24.) A DVD player is priced at $150. If it is marked down for sale at $120, find the percent decrease. 25.) Find the volume of the figure below: 6 in 3 in 4 in 26.) Subtract: -15 – (-8) 27.) 26 is 40% of what number? 2 3 28.) Subtract: 5 7 Math 092 Practice Final #3 3 29.) A worker in an assembly line takes 3 hours to produce 15 parts. How long would it take the same worker to produce 75 parts? 3 1 2 3 4 2 30.) Simplify: 31.) Convert to a percent: 0.2 Questions 32, 33, and 34 refer to the following data: 2, 16, 1, 28, 1, 30, 1, 25 32.) Find the mean. 33.) Find the median. 34.) Find the mode(s). 35.) Write in order from smallest to largest: 36.) Simplify using order of operations: 37.) Subtract: 7 3 , 0.07, , 0.6 9 4 9 3 (2 5) 4 2 55 – 3.852 38.) Solve for x: 6 10 9 x 39.) What is 5% of 300? 40.) 20 is what percent of 80? 41.) Simplify: x 3 2( x 2) 42.) True or false: the opposite of 3 = the absolute value of 3 43.) Find the area of the triangle below: 5.6 6.3 (height = 6) 8 44.) Divide and reduce to lowest terms, if possible: 24 3 4 Math 092 Practice Final #3 45.) Convert to a decimal: 3 25 46.) Convert to an improper fraction: 47.) Multiply: 4 8 4 7 5.91 ∙ 8.23 A B Questions 48 and 49 refer to the diagram to the right: C D E 48.) Is CDB acute, obtuse, or a right angle? 49.) If mBDE = 62°, find mBDA . 50.) Convert to a mixed number: ANSWERS: 17 1.) 12 37 5 2.) sixteen and twenty-three thousandths 3.) 4.) x = -25 5.) 3 250 6.) 62.5% 7.) 1 6 8.) $21 9.) 3x + 2y 10.) 108 cm3 11.) 3 5 12.) A = 8.6 m2 P = 12.6 m 13.) 36.25 14.) -4 15.) 108° 16.) x=9 17.) FALSE 18.) FALSE 19.) 2.54 11 16 Math 092 Practice Final #3 5 20.) 14 ft 21.) 4 25 22.) > 23.) 24∙32 24.) 20% 25.) 72 in3 26.) -7 27.) 65 28.) 29 35 29.) 15 hours 30.) 9 5 8 31.) 20% 32.) 13 33.) 9 34.) 1 35.) 3 7 0.07,0.6, , 4 9 36.) -16 37.) 51.148 38.) x = 15 39.) 15 40.) 25% 41.) -x+7 42.) False 43.) 24 44.) 32 45.) 0.12 46.) 60 7 47.) 48.6393 48.) obtuse 49.) 28° 50.) 7 2 5