Test 6 Review

I can calculate equations working with integer exponents

100

1) (c^5)^3 * c^-4

c^11

200

7) Evaluate 5^-3 A)125 B) 1/125 C) 15 D) 1/15

B

300

4) Find a counterexample to the pattern: -4a = a^-4

example: a = 1

400

2) Simplify. Express the answer with positive exponents. ( (4x^3y)/(8xy^4) )^3

x^6 / 8y^9

I can calculate equations working with radicals

100

3) Evaluate "cube root" of 526 to the nearest thousandth.

8.072

200

The volume of a cube is 1728 cubic feet. Find the length in feet of the side of the cube.

12

300

Find the distance between the points with coordinates (-2, 3) and (-6, 4). Express the answer in simplest radical form.

"square root" of 17

I can solve problems dealing with quadratic equations.

100

8) solve the equation. Round the results to the nearest hundredth, if necessary. If there are no real solutions state so. 6x^2 - 81 = 3x^2

+/- 5.20

200

9) When an object is dropped near the surface of a planet or moon, the distance d (in meters) it falls in t seconds is given by the formula d = 1/2 gt^2, where g is the acceleration due to gravity. On Mercury, an object falls from a height of 14.1 meters. It takes the object about 2.76 seconds to reach the ground. Find the approximate value of g near Mercury to the nearest tenth.

3.7 m/sec^2

300

10) A convex polygon with n sides has n(n-3) / 2 diagonals. How many sides does a convex polygon with 65 diagonals have?

13

I can solve problems dealing with scientific notation.

100

11) Write a calculator key sequence for evaluating "square root" of 81 + 9 / 2^3

( "squre root" 81 + 9 ) / ( 2 ^ 3 ) enter

200

12) Is 0.195 x 10^4 written in scientific notation? explain why or why not.

not because 0.195 is not a number between 1 and 10

300

13) Express 0.0053 in scientific notation. A) 53 X 10^-3 B) 5.3 X 10^-4 C) 53 X 10^-4 D) 5.3 X 10^-3

D