1. which expression is equivalent to 3^-7

3^-5
a. 1/6

b. 1/3^12

c. 1/9

d. 1/3^-12

2. solve for m. m - 5 =

a. m = 2

b. m = 7

c. m = 12

d. m = 35

3. identify the two statements that are true and correctly explain why 2 is not a perfect square.

a. the only integers you can multiply for a product of 2 are 1 and 2. a perfect square is the product of an integer multiplied by itself.

b. the number 2 is an even number. only odd numbers are perfect squares.

c. no integers can be multiplied to get a product of 2. if a number has two factors that are both integers, it is a perfect square.

d. when you find the square root of 2, the result is a decimal. the square root of a perfect square is an integer.

4. choose the phrase that best completes the following sentence.

when you take the square root of 11, the result is neither a terminating nor a repeating decimal. therefore, sqrt{11} is

a. an odd number

b. a rational number

c. an irrational number

d. an integer

5. the decimal 2. is an irrational number. which two words describe the decimal representation of any irrational number?

a. repeating

b. non-repeating

c. patterned

d. terminating

e. non-terminating

f. random

6. which statement is true about the expression: -sqrt

a. the expression is rational because 9 is a perfect square.

b. the expression is rational because its decimal expansion has repeating digits of 0, 2, and 3.

c. the expression is irrational because its decimal expansion is non-terminating and non-repeating.

d. the expression is irrational because it is negative.

7. a regular coca-cola can has a radius of 1.25 inches and a height of 4.75 inches. approximately how many cubic inches of coca-cola will the can hold?

(use 3.14 for π)

volume of a cylinder formula: v = π r^2 h

a. 23.30

b. 29.15

c. 93.27

d. 233.17