Homework Explained - Math Practice 101

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Chapter 1: Real Numbers; Mixed Review

Selected Response

• Question 1

The square root of a number is 9. What is the other square root?

• -9
• -3
• 3
• 81
• Question 2

A square acre of land is 4,840 square yards. Between which two integers is the length of one side?

• between 24 and 25 yards
• between 69 and 70 yards
• between 242 and 243 yards
• between 695 and 696 yards
• Question 3

Which of the following is an integer but not a whole number?

• -9.6
• -4
• 0
• 3.7
• Question 4

Which statement is false?

• No integers are irrational numbers.
• All whole numbers are integers.
• No real numbers are irrational numbers.
• All integers greater than 0 are whole numbers.
• Question 5

Which set of numbers best describes the displayed weights on a digital scale that shows each weight to the nearest half pound?

• whole numbers
• rational numbers
• real numbers
• integers
• Question 6

Which of the following is not true?

• $$\pi ^2 \lt 2 \pi + 4$$
• $$3 \pi \gt 9$$
• $$\sqrt { 27} + 3 \gt \frac{17}{2}$$
• $$5 – \sqrt{ 24} \lt 1$$
• Question 7

Which number is between $$\sqrt{21}$$ and $$\large\frac{3\pi}{2}$$ ?

• $$\large\frac{14}{3}$$
• $$2 \sqrt{6}$$
• 5
• $$\pi + 1$$
• Question 8

What number is shown on the graph?

• $$\pi + 3$$
• $$\sqrt{4} + 2.5$$
• $$\sqrt {20}+2$$
• $$6.\overline{14}$$
• Question 9

Which is in order from least to greatest?

• $$3.3, \frac{10}{3}, \pi, \frac{11}{4}$$
• $$\frac{10}{3}, 3.3, \frac{11}{4}, \pi$$
• $$\pi, \frac{10}{3}, \frac{11}{4}, 3.3$$
• $$\frac{11}{4}, \pi, 3.3, \frac{10}{3}$$

• Question 10

The volume of a cube is given by $$\text{V} = \text{x}^3$$, where x is the length of an edge of the cube. The area of a square is given by $$\text{A} = \text{x}^2$$, where x is the length of a side of the square. A given cube has a volume of 1728 cubic inches.

a. Find the length of an edge.

•  inches
• Question 10

b. Find the area of one side of the cube.

•  $$\text{ in}^2$$
• Question 10

c. Find the surface area of the cube.

•  $$\text{ in}^2$$
• Question 10

d. What is the surface area in square feet?

•  $$\text{ ft}^2$$

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