Question 1

Which of the following numbers is an irrational number?

Accepted Answer

$$\sqrt{2}$$

Question 2

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

Accepted Answer

$$21$$

Question 3

Convert $$0.00056 to $$scientific notation.

Accepted Answer

$$5.6 	imes 10$$^{-4}$$

Question 4

Express $$3.2 	imes 10$$^{5}$$ in standard decimal notation.

Accepted Answer

$$320,000$$

Question 5

Calculate $$(2.0 	imes 10$$^{3}$$) 	imes (4.0 	imes 10$$^{2}$$)$$ and write your answer in scientific notation.

Accepted Answer

$$8.0 	imes 10$$^{5}$$

Question 6

A medication’s price increased from $$\40$ to $$\$$50$$ over one year. What is the percent increase?

Accepted Answer

$$25\%$$

Question 7

The population of a city grew from $$2.5 	imes 10$$^{6}$$ to 3.0$$ 	imes $$10^{6} in $$one decade. What is the percent change?

Accepted Answer

$$20\%$$

Question 8

Given the data set: $$\{12, 15, 10, 18, 20\}$$, what is the median?

Accepted Answer

$$15$$

Question 9

Given the relation $$\{(2, 5), (3, 7), (4, 5), (5, 9)\}$$, what is the domain?

Accepted Answer

$$\{2, 3, 4, 5\}$$

Question 10

Find the distance between the points $$A(1, 2)$$ and $$B(4, 6).$$

Accepted Answer

$$5$$

Question 11

What is the midpoint between the points $$(-2, 3)$$ and $$(4, 7)$$?

Accepted Answer

$$(1, 5)$$

Question 12

Given the equation of a circle $$(x - 2)^2 + (y + 3)^2 = 25$$, what is the center and radius?

Accepted Answer

Center: $$(2, -3)$$, Radius: $$5$$

Question 13

Find the standard equation of a circle with center $$(1, -2)$$ and radius $$4.$$

Accepted Answer

$$(x - 1)^2$ + (y + 2)^2$ = 16$$

Question 14

A scientist records the following temperatures (in $$^\circC$$): $$\{22, 25, 19, 24, 20\}. $$What is the mean temperature?

Accepted Answer

$$22^\circC$$

Question 15

Which of the following is NOT a rational number?

Accepted Answer

$$\pi$$

Question 16

A circle has the equation $$x^2$$ + $$y^2 - 6x + 8y = -9$. What is the center and radius of the circle?

Accepted Answer

Center: $$(3, -4)$$, Radius: $$2$$

Question 17

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

Accepted Answer

Whole numbers, integers, rational numbers, and real numbers

Question 18

A car travels $$1.2 	imes 10$$^{3}$$ kilometers in 2$$ 	imes $$10^{1}$$ hours. What is its average speed in scientific notation?

Accepted Answer

$$6.0 	imes 10$$^{1}$$ km/h

Question 19

Which of the following best describes the range of the relation $$\{(1, 2), (2, 4), (3, 2), (4, 5)\}$$?

Accepted Answer

$$\{2, 4, 5\}$$

Question 20

If the equation $$y = x^2$ + 2x - 3 is $$graphed on a calculator, which of the following is the best viewing window to see the vertex and both x-intercepts?

Accepted Answer

$$x: [-5, 5],\ y: [-10, 10]$$

Chapter 1 Study Guide: Numbers, Data, and Graphing Fundamentals

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