Question 1

Which of the following numbers is an irrational number?

Accepted Answer

$$\sqrt{7}$$

Question 2

Evaluate the following expression using the order of operations: $$3(1-5)^2$$ - $$4^2$$

Accepted Answer

$$32$$

Question 3

Which of the following is NOT a rational number?

Accepted Answer

$$\sqrt{5}$$

Question 4

A soda can has a radius of $$1.4$$ inches and a height of $$5$$ inches. What is its volume in cubic inches? (Use $$V = \pi r^2$ h)$$

Accepted Answer

$$30.8$$ cubic inches

Question 5

Which set does the number $$0$$ belong to?

Accepted Answer

Whole numbers, integers, and rational numbers

Question 6

Calculate the percent change in the Consumer Price Index (CPI) from 1980 ($$80) to 2015$$ ($$237). $$Use the formula $$\frac{c_2$-c_1$}{c_1$} 	imes 100.$$

Accepted Answer

$$196\%$$

Question 7

Which of the following statements is TRUE about rational numbers?

Accepted Answer

They can always be written as the ratio of two integers.

Question 8

Evaluate: $$\frac{10-6}{5-3} - 4 - |7-2|$$

Accepted Answer

$$-7$$

Question 9

Which of the following is a real number but NOT a rational number?

Accepted Answer

$$\sqrt{11}$$

Question 10

If a soda can has a volume of $$30.8$$ cubic inches, how many fluid ounces can it hold? (1 cubic inch = 0.55 fluid ounce)

Accepted Answer

$$16.94$$ fluid ounces

Question 11

Which of the following numbers is both an integer and a rational number?

Accepted Answer

$$-12$$

Question 12

Which of the following best describes the decimal representation of an irrational number?

Accepted Answer

It does not terminate and does not repeat.

Question 13

Given the percent change formula $$\frac{c_2$-c_1$}{c_1$} 	imes 100$$, what is the percent change if tuition rises from $$804 to$$ $$9410$$?

Accepted Answer

$$1070\%$$

Question 14

Which of the following is a whole number but NOT a natural number?

Accepted Answer

$$0$$

Question 15

Which of the following numbers is NOT a real number?

Accepted Answer

$$\sqrt{-1}$$

Question 16

Which of the following is the correct order of operations for evaluating arithmetic expressions?

Accepted Answer

Parentheses, exponents, multiplication/division, addition/subtraction

Question 17

Which of the following is a rational number with a repeating decimal representation?

Accepted Answer

$$\frac{1}{3}$$

Question 18

If the CPI increased from $$80 to$$ $$237$$ between 1980 and 2015, what does this indicate about prices during this period?

Accepted Answer

Prices increased.

Question 19

Which of the following is an example of a number that is both a whole number and an integer, but not a natural number?

Accepted Answer

$$0$$

Question 20

Which of the following best describes the set of real numbers?

Accepted Answer

All rational and irrational numbers

Chapter 1: Introduction to Numbers, Data, and Problem Solving in College Algebra

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