Math 092 Practice Final #2 1
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Math 092 Practice Final #2 1
GEOMETRY FORMULAS Circle: C 2 r Rectangle: P = 2L + 2W A r 2 A = L ∙ W
1 Triangle: A = b∙h 2
Rectangular Prism: V = L∙W∙H Cylinder: V r 2 h 1 4 Cone: V r 2 h Sphere: V r 3 3 3
1.) Round 2.7468 to the nearest 1000th.
2.) Convert to a fraction and reduce to lowest terms: 35%
2 3.) Fill in the blank with < or >: ______0.2 9 4.) Simplify: x15 x 8
5.) Convert to a percent: 0.8
3 6.) Solve for x: x 12 4
41 7.) Convert to a mixed number: 6
5 1 8.) Subtract and reduce, if possible: 16 16
9.) Divide: 0.276 ÷ 1.2
10.) Find the perimeter of the rectangle below:
2 inches
4 inches
11.) A DVD is priced at $30. If it goes on sale for 20% off, find the sale price. Math 092 Practice Final #2 2
12.) 14 is 20% of what number?
13.) Simplify using order of operations: 42 2 (3 8)
14.) Subtract: 47 – 2.83
15.) Divide: (-30) ÷ (-5)
16.) Solve for x: 4(x 5) 2x 8
17.) Simplify: (x 5 y 3 ) 2
18.) Find the complement of 31°.
19.) Find the missing side of the right triangle below:
13
12
2.5 5 20.) Answer TRUE or FALSE (explain your answer!): 3 6 12 21.) Answer TRUE or FALSE (explain your answer!): 0 0
22.) Find the area of a circle with diameter 8 feet. (Leave your answer in terms of )
23.) Factor: 4x + 2y – 10z 9 24.) Convert to a decimal: 20 25.) Find the volume of the figure below:
3 cm
1.5 cm 2 cm Math 092 Practice Final #2 3
26.) Subtract: -12 – (-10)
27.) Three years ago, Ken’s job earned him $8 per hour. If he now earns $12 per hour, find the percent increase in his wages.
2 28.) Simplify using order of operations: 10 (3 4) 5
3 2 29.) Add and reduce, if possible: 8 5
30.) The ratio of students to teachers at a certain school is 20:1. How many students are there if the school employs 40 teachers?
Questions 31, 32, and 33 refer to the following data: 5, 10, 4, 15, 15, 2, 4, 9
31.) Find the mean.
32.) Find the median.
33.) Find the mode(s).
34.) Convert to a fraction and reduce to lowest terms: 0.08
35.) Multiply: (-8)∙(4) 3 7 36.) Write in order from smallest to largest: , 0.09, , 0.5 4 10 4 x 37.) Solve for x: 12 9 6 38.) Convert to a percent. 5 39.) The sum of three times a number and 18 is 114. Find the number.
40.) Find the perimeter and area of the triangle below:
3.1 3.3 (height = 2)
4 Math 092 Practice Final #2 4
41.) Find the volume of a cone if the radius is 6 ft and the height is 10 ft. (Leave your answer in terms of )
3 42.) Divide and reduce to lowest terms, if possible: 12 4 2 43.) Convert to an improper fraction: 5 3 44.) Write as a ratio in lowest terms: 2.4 to 3.6
45.) Write in words: 4.0023
2 1 2 3 46.) Simplify using order of operations: 3 3 8
47.) Multiply: 2.31 ∙ 4.2
48.) Simplify: (5a – 3b) – (2a + 4b)
A
Questions 49 and 50 refer to the triangle to the right:
B C
49.) If mB = 89° and mC = 37°, find mA .
50.) Is B acute, obtuse, or right? Math 092 Practice Final #2 5
ANSWERS
7 1.) 2.747 2.) 3.) > 4.) x7 20
5 1 5.) 80% 6.) x = 16 7.) 6 8.) 6 4
9.) .23 10.) 12 inches 11.) $24 12.) x = 70
13.) 6 14.) 44.17 15.) 6 16.) x = 6
x10 17.) 18.) 59° 19.) x = 5 20.) TRUE y 6
21.) FALSE 22.) 16 ft2 23.) 2(2x+1y-5z) 24.) .45
25.) 9 cm3 26.) -2 27.) 50% 28.) -11
31 29.) 30.) 800 students 31.) 8 32.) 7 40
2 7 3 33.) 4 and 15 34.) 35.) -32 36.) .09,.5, , 25 10 4
37.) x = 3 38.) 120% 39.) x = 32 40.) P=10.4 A=4
1 17 2 41.) 120 ft3 42.) 43.) 44.) 16 3 3
13 45.) four and twenty-three ten-thousandths 46.) 36
47.) 9.702 48.) 3a-7b 49.) 54° 50.) acute