Numerical Representations

Numerical Representations, Functions, and Slope

By Angel Castillo

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Multiple Choice

Which Venn diagram correctly represents the relationship between rational numbers and irrational numbers?

Multiple Choice

Which Venn diagram correctly describes the relationship between Set R and Set W?

R = {real numbers}

W = {whole numbers}

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Multiple Choice

Aaron found the length of the hypotenuse of a right triangle to be $$\sqrt[]{115}$$  . Where should he plot $$\sqrt[]{115}$$  on a number line?

Multiple Choice

Which of the following is the best approximation of the value of $$\sqrt[]{220}$$  ?

• 14.8

• 14.5

• 14.1

• 14.3

Multiple Choice

Tammy has four cards with irrational numbers on them. She is placing them on a number line. She is determining which card is closest to 7. Which card should she choose?

• $$\sqrt[]{23}$$  

• $$\sqrt[]{38}$$  

• $$\sqrt[]{50}$$  

• $$\sqrt[]{67}$$  

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Multiple Choice

Which list shows the numbers below in order from least to greatest?

$$\frac{1}{8},\ 12\%,\ 0.13,\ \frac{128}{1000}$$  

• $$0.13,\ \frac{128}{1000},\ 12\%,\ \frac{1}{8}$$  

• $$12\%,\ \frac{1}{8},\ \frac{128}{1000},\ 0.13$$  

• $$\frac{128}{1000},\ 0.13,\ 12\%,\ \frac{1}{8}$$  

• $$0.13,\ \frac{128}{1000},\ \frac{1}{8},\ 12\%$$  

Multiple Choice

Which list shows the numbers below in order from least to greatest?

$$\frac{1}{6},\ 0.7,\ 14\%,\ \frac{12}{100}$$  

• $$\frac{12}{100},\ \frac{1}{6},\ 0.7,\ 14\%$$  

• $$14\%,\ \frac{1}{6},\ 0.7,\ \frac{12}{100}$$  

• $$\frac{12}{100},\ 14\%,\ \frac{1}{6},\ 0.7$$  

• $$0.7,\ \frac{1}{6},\ 14\%,\ \frac{12}{100}$$  

Multiple Choice

Which list shows the results in order from least to greatest?

•   $$20\%,\ \frac{1}{4},\ 0.35,\ \frac{1}{3}$$  

•   $$\frac{1}{4},\ 0.35,\ \frac{1}{3},\ 20\%$$  

•   $$20\%,\ \frac{1}{4},\ \frac{1}{3},\ 0.35$$  

•   $$\frac{1}{3},\ 20\%,\ \frac{1}{4},\ 0.35$$  

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Multiple Choice

The diameter of a grain of sand is approximately 0.0024 inches. Which of the following correctly expresses this number in scientific notation?

• $$0.24\times10^{-3}$$  

• $$2.4\times10^{-3}$$  

• $$2.4\times10^3$$  

• $$0.24\times10^3$$  

Multiple Choice

How is 680,000,000 written in scientific notation?

• $$6.8\times10^{-8}$$  

• $$6.8\times10^8$$  

• $$6.8\times10^7$$  

• $$6.8\times10^9$$  

Multiple Choice

Which of the following correctly expresses 0.0000004 in scientific notation?

• $$4.0\times10^7$$   

•   $$4.0\times10^{-7}$$   

• $$0.4\times10^7$$   

• $$0.4\times10^{-7}$$   

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Multiple Choice

At a seafood restaurant, there is a functional relationship between the number of oysters bought, x, and the total amount paid in dollars, y. Which table is representing a function?

Multiple Choice

Which graph is NOT a function?

Multiple Choice

Which set of ordered pairs does NOT represent a function?

• (4, 1), (-4, 5), (0, 3), (-3, 0), (2, -3)

• (5, 5), (3, 5), (-2, 5), (1, 5), (6, 5)

• (4, 0), (4, 5), (4, 4), (4, -4), (4, -7)

• (-3, -1), (-6, -5), (-1, 0), (-4, -2), (-7, -5)

Multiple Choice

Which of the mappings below represents the mapping of a function?

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Multiple Choice

What is the slope of the line?

• 0.66

• 0.37

• 0.22

• 0.33

Multiple Choice

What is the rate of change of the graph?

• $10/guest

• $9/guest

• $14/guest

• $19/guest

Multiple Choice

What is the rate of change of the average low temperature, in degrees Fahrenheit per month?

• 15 Degrees Fahrenheit per month

• 30 Degrees Fahrenheit per month

• 7.5 Degrees Fahrenheit per month

• Not Here