NAME:
REGULAR QUIZ #1 MATH 084.09 10 / 9 / 2012
Provide work and results for the following problems:
1. Evaluate: 2[15 ÷ 3(5 − 1) ]
2. Simplify: 15d − (6d + 1) − d
3. Rewrite 0.695
(a) as a fraction in lowest terms
(b) as a percent
4. Express 9.3%
(a) as a fraction having integer numerator and denominator
(b) as a decimal
5. A bookstore bought a used book from a student for $30. The book was then resold for $75. Find the percent profit.
6. The regular price of an elliptic trainer is $900. It is on sale, being sold at a discount of 18%. Find the sales price.
7. Find the volume of a circular cone if the base has a diameter of 6 in and the height is 12 in. (Note: the volume of a cone is ⅓ π r 2 h )
8. Use the Pythagorean theorem (a 2 + b 2 = c 2 ) to find the length of the hypotenuse of a right triangle if the lengths of the sides are 20 in and 21 in.
9. G = 29.7 D √P is a formula for the gallons per minute delivered by a fire hose where D is diameter (in) and P is water pressure (lbs per in 2 ). What is G if P = 90 lbs per in 2 and D = 15 in?
10. The formula R = √1.52H gives the range in miles (R) of an antenna that is a height H (feet) above a water surface. Find the range of the antenna to the nearest tenth of a mile: (a) if H is 10 ft and (b) if H is 100 ft.