Question 1

Solve the multiple-angle equation. ​  ​

Accepted Answer

A)   
B) ​  
C) ​  
D) ​  
E) ​

Question 2

An object is dropped from a height of 15 feet. Use the position equation s = -16t2 + v0t + s0 to write a function that represents the situation and select the graph of the function.
​

Accepted Answer

A) s = -16t2 + 15t ​
​  
B) s = -16t2 + 15 ​
​  
C) s = -16t2 - 15t ​
​  
D) s = 16t2 + 15 ​
​  
E) s = -16t2 - 15 ​
​

Question 3

Place the correct symbol ( , or = ) between the two real numbers. ​
|-6| 6
​

Accepted Answer

A) |-6| = 6 
B) |-6| ≥ 6 
C) |-6| ≤ 6 
D) |-6|  6

Question 4

Use a calculator to evaluate the expression.(If necessary, round your answer to three decimal places.) ​
​  ​

Accepted Answer

A) 70 
B) 71 
C) 72 
D) 74 
E) 73

Question 5

Select the graph of the function. ​  ​

Accepted Answer

A) ​  
B) ​  
C) ​  
D) ​  
E) ​

Question 6

Write the standard form of the equation of the circle with the given characteristics. ​
Center:(3, 1); Radius: 7
​

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 7

Graph the circle  . ​

Accepted Answer

A) ​  
B) ​  
C) ​  
D) ​  
E) ​

Question 8

Write the number in decimal notation. ​
Interior temperature of the sun: 1.5 × 102 degrees Celsius
​

Accepted Answer

A) 1,500,000°C 
B) 15,000,000°C 
C) 150,000°C 
D) 15,000°C 
E) 1,500°C

Question 9

An object is thrown upward from a height of 8 feet at a velocity of 72 feet per second. Use the position equation s = -16t2 + v0t + s0 to select a function that represents the situation and select the graph of the function.
​

Accepted Answer

A) ​ s = -16t2 - 72t + 8 ​  
B) ​ s = -16t2 + 72t ​  
C) ​ s = -16t2 + 72t - 8 ​ 
​ 
D) s = -16t2 + 72t + 8 ​  
E) ​ s = -16t2 - 72t - 8 ​

Question 10

Find  . ​  ​

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 11

Select the graph of the function and determine whether it is even, odd, or neither. ​
F(x) = |x + 6|
​

Accepted Answer

A) ​  Even 
B) ​  Odd 
C) ​  Neither 
D) ​  Odd 
E) ​  Even

Question 12

Find the difference quotient and simplify your answer. ​
F(x) = 5x - x2,  , h ≠ 0
​

Accepted Answer

A)   , h ≠ 0 
B)   , h ≠ 0 
C)   , h ≠ 0 
D)   , h ≠ 0 
E)   , h ≠ 0

Question 13

The graph shows the sales (in billions of dollars) for Apple Inc.for the years 2001 through 2007. ​  Find the slope of the line segment connecting the points for the years 2003 and 2004.Round the answer to two decimal places.
​

Accepted Answer

A) -5.07 
B) 2.07 
C) 7.07 
D) 3.07 
E) -2.07

Question 14

Solve the following equation. ​  ​

Accepted Answer

A)   
B) ​  
C) ​  
D) ​  
E) ​

Question 15

Select the graph of the given function and determine the interval(s) for which f(x) ≥ 0. ​
F(x) = 5 - x
​

Accepted Answer

A) ​  ​
(∞, -5] 
B) ​  ​
​(-∞, -5] 
C) ​  ​
​(∞, 5] 
D) ​  ​
​(-∞, 5] 
E) ​  ​
​​(-∞, 5]

Question 16

Assume that the graph has Origin symmetry.Select the complete graph of the equation. ​  ​

Accepted Answer

A) ​  ​ 
B) ​  ​ 
C) ​  ​ 
D) ​  
E) ​

Question 17

Find  . ​  ​

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 18

Restrict the domain of the function f so that the function is one-to-one and has an inverse function.Then find the inverse function f-1.State the domains and ranges of f and f-1. ​
F(x) = -6x2 + 2
​

Accepted Answer

A)   The domain of f and the range of f-1 are all real numbers x such that x ≥ 0.The domain of f-1 and the range of f are all real numbers x such that x ≤ 2.​ 
B)   The domain of f and the range of f-1 are all real numbers x such that x ≥ 0.The domain of f-1 and the range of f are all real numbers x such that x ≤ 2.​ 
C)   The domain of f and the range of f-1 are all real numbers x such that x ≥ 0.The domain of f-1 and the range of f are all real numbers x such that x ≤ 2.​ 
D)   The domain of f and the range of f-1 are all real numbers x such that x ≥ 0.The domain of f-1 and the range of f are all real numbers x such that x ≤ -2.​ 
E)   The domain of f and the range of f-1 are all real numbers x such that x ≥ 0.The domain of f-1 and the range of f are all real numbers x such that x ≤ 2.

Question 19

Find the slope of the line passing through the pair of points. ​
(-1, -8), (3, 7)
​

Accepted Answer

A)   m =  
B)   m =  
C)   m = -  
D)   m = -  
E)   m =

Question 20

Use the properties of radicals to simplify the following expression. ​  ​

Accepted Answer

A)   
B)   
C)   
D)   
E)

Exam 7: Prerequisites

Solve the multiple-angle equation.

An object is dropped from a height of 15 feet. Use the position equation s = -16t² + v₀t + s₀ to write a function that represents the situation and select the graph of the function.

Place the correct symbol ( <, >, or = ) between the two real numbers. |-6| 6

Use a calculator to evaluate the expression.(If necessary, round your answer to three decimal places.)

Select the graph of the function.

Write the standard form of the equation of the circle with the given characteristics. Center:(3, 1) ; Radius: 7

Graph the circle .

Write the number in decimal notation. Interior temperature of the sun: 1.5 × 10² degrees Celsius

An object is thrown upward from a height of 8 feet at a velocity of 72 feet per second. Use the position equation s = -16t₂ + v₀t + s₀ to select a function that represents the situation and select the graph of the function.

Find .

Select the graph of the function and determine whether it is even, odd, or neither. F(x) = |x + 6|

Find the difference quotient and simplify your answer. F(x) = 5x - x², , h ≠ 0

The graph shows the sales (in billions of dollars) for Apple Inc.for the years 2001 through 2007. Find the slope of the line segment connecting the points for the years 2003 and 2004.Round the answer to two decimal places.

Solve the following equation.

Select the graph of the given function and determine the interval(s) for which f(x) ≥ 0. F(x) = 5 - x

Assume that the graph has Origin symmetry.Select the complete graph of the equation.

Find .

Restrict the domain of the function f so that the function is one-to-one and has an inverse function.Then find the inverse function f^-1.State the domains and ranges of f and f^-1. F(x) = -6x² + 2

Find the slope of the line passing through the pair of points. (-1, -8) , (3, 7)

Use the properties of radicals to simplify the following expression.

Exam 7: Prerequisites

Solve the multiple-angle equation. ​ ​

An object is dropped from a height of 15 feet. Use the position equation s = -16t2 + v0t + s0 to write a function that represents the situation and select the graph of the function. ​

Place the correct symbol ( <, >, or = ) between the two real numbers. ​ |-6| 6 ​

Use a calculator to evaluate the expression.(If necessary, round your answer to three decimal places.) ​ ​ ​

Select the graph of the function. ​ ​

Write the standard form of the equation of the circle with the given characteristics. ​ Center:(3, 1) ; Radius: 7 ​

Graph the circle . ​

Write the number in decimal notation. ​ Interior temperature of the sun: 1.5 × 102 degrees Celsius ​

An object is thrown upward from a height of 8 feet at a velocity of 72 feet per second. Use the position equation s = -16t2 + v0t + s0 to select a function that represents the situation and select the graph of the function. ​

Find . ​ ​

Select the graph of the function and determine whether it is even, odd, or neither. ​ F(x) = |x + 6| ​

Find the difference quotient and simplify your answer. ​ F(x) = 5x - x2, , h ≠ 0 ​

The graph shows the sales (in billions of dollars) for Apple Inc.for the years 2001 through 2007. ​ Find the slope of the line segment connecting the points for the years 2003 and 2004.Round the answer to two decimal places. ​

Solve the following equation. ​ ​

Select the graph of the given function and determine the interval(s) for which f(x) ≥ 0. ​ F(x) = 5 - x ​

Assume that the graph has Origin symmetry.Select the complete graph of the equation. ​ ​

Find . ​ ​

Restrict the domain of the function f so that the function is one-to-one and has an inverse function.Then find the inverse function f-1.State the domains and ranges of f and f-1. ​ F(x) = -6x2 + 2 ​

Find the slope of the line passing through the pair of points. ​ (-1, -8) , (3, 7) ​

Use the properties of radicals to simplify the following expression. ​ ​

Solve the multiple-angle equation.

An object is dropped from a height of 15 feet. Use the position equation s = -16t² + v₀t + s₀ to write a function that represents the situation and select the graph of the function.

Place the correct symbol ( <, >, or = ) between the two real numbers. |-6| 6

Use a calculator to evaluate the expression.(If necessary, round your answer to three decimal places.)

Select the graph of the function.

Write the standard form of the equation of the circle with the given characteristics. Center:(3, 1) ; Radius: 7

Graph the circle .

Write the number in decimal notation. Interior temperature of the sun: 1.5 × 10² degrees Celsius

An object is thrown upward from a height of 8 feet at a velocity of 72 feet per second. Use the position equation s = -16t₂ + v₀t + s₀ to select a function that represents the situation and select the graph of the function.

Find .

Select the graph of the function and determine whether it is even, odd, or neither. F(x) = |x + 6|

Find the difference quotient and simplify your answer. F(x) = 5x - x², , h ≠ 0

The graph shows the sales (in billions of dollars) for Apple Inc.for the years 2001 through 2007. Find the slope of the line segment connecting the points for the years 2003 and 2004.Round the answer to two decimal places.

Solve the following equation.

Select the graph of the given function and determine the interval(s) for which f(x) ≥ 0. F(x) = 5 - x

Assume that the graph has Origin symmetry.Select the complete graph of the equation.

Find .

Restrict the domain of the function f so that the function is one-to-one and has an inverse function.Then find the inverse function f^-1.State the domains and ranges of f and f^-1. F(x) = -6x² + 2

Find the slope of the line passing through the pair of points. (-1, -8) , (3, 7)

Use the properties of radicals to simplify the following expression.