Question 1

Simplify the variable expression below.   a -   a

Accepted Answer

A)    a 
B)    a 
C)    a 
D)    a 
E)    a 
A)    a 
B)    a 
C)    a 
D)    a 
E)    a

Question 2

Use algebraic tests to check the following for symmetry with respect to the axes and the origin.   ​

Accepted Answer

A) Symmetric with respect to the origin. 
B) No symmetry. 
C) Symmetric with respect to the y-axis. 
D) Symmetric with respect to the x-axis. 
A) Symmetric with respect to the origin. 
B) No symmetry. 
C) Symmetric with respect to the y-axis. 
D) Symmetric with respect to the x-axis.

Question 3

Find the inverse function of f informally. ​
F(x) = x - 5
​

Accepted Answer

A) f-1(x) = - (x + 5) 
B) ​   
C)    
D) f-1(x) = 5 - x 
E) f-1(x) = x + 5 
A) f-1(x) = - (x + 5) 
B) ​   
C)    
D) f-1(x) = 5 - x 
E) f-1(x) = x + 5

Question 4

Restrict the domain of f(x) = x2 + 5 to x ≥ 0.Use a graphing utility to graph the function. ​

Accepted Answer

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

Question 5

Approximate the numbers and place the correct symbol () between them.

Accepted Answer

A) -3 > 3.25 B) -3 3.75 E) -3 < 3.25 A) -3 > 3.25 B) -3 3.75 E) -3 < 3.25

Question 6

A stream of water moving at the rate of v feet per second can carry particles of size   inches.Find the size of the largest particle that can be carried by a stream flowing at the rate of   foot per second.(Round your answer to three decimal places.) ​

Accepted Answer

A) 0.067 
B) 0.087 
C) 0.047 
D) 0.057 
E) 0.077 
A) 0.067 
B) 0.087 
C) 0.047 
D) 0.057 
E) 0.077

Question 7

Find the slope of the line determined by the equation. ​   ​

Accepted Answer

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

Question 8

Find the slope of the line passing through the pair of points. ​
(8, -4), (1, -4)
​

Accepted Answer

A)    m = 0 
B)    m = -   
C)    m =   
D)    m is undefined 
E)    m =   
A)    m = 0 
B)    m = -   
C)    m =   
D)    m is undefined 
E)    m =

Question 9

Determine which numbers in the set are whole numbers. 9, -7, 0,   , -15, 20,

Accepted Answer

A) 9, 0,   , 20 
B) 9, 0, 20 
C) 9, 0,   , 20,   
D) 9, -7, 0, -15, 20 
E) 9, 20 
A) 9, 0,   , 20 
B) 9, 0, 20 
C) 9, 0,   , 20,   
D) 9, -7, 0, -15, 20 
E) 9, 20

Question 10

Evaluate the expression below. ​
4-1
​

Accepted Answer

A)    ​ 
B)    ​ 
C) 4 
D)    ​ 
E) 1024 
A)    ​ 
B)    ​ 
C) 4 
D)    ​ 
E) 1024

Question 11

Reduce the index of radical. ​   ​

Accepted Answer

A)    ​ 
B)    ​ 
C)    ​ 
D) (x + 1) ​ 
E)    
A)    ​ 
B)    ​ 
C)    ​ 
D) (x + 1) ​ 
E)

Question 12

Select the graph of the function: f(x) = [[x]] - 4. ​
​

Accepted Answer

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

Question 13

Evaluate the expression for the given value of x. ​
-2x0, x = 20
​

Accepted Answer

A) -40 
B) -2 
C) 40 
D) 2 
E) 4 
A) -40 
B) -2 
C) 40 
D) 2 
E) 4

Question 14

Find the coordinates of a second point on the graph of a function f if the given point is on the graph and the function is odd. ​
(4a, 6b)
​

Accepted Answer

A) ​(-4a, -6b) 
B) ​(-4a, 6b) 
C) ​(4a, -6b) 
D) ​(4a, 6b) 
E) None of the above 
A) ​(-4a, -6b) 
B) ​(-4a, 6b) 
C) ​(4a, -6b) 
D) ​(4a, 6b) 
E) None of the above

Question 15

​Evaluate the indicated function for   and   . ​   ​
​

Accepted Answer

A) 92 
B) 90 
C) -86 
D) 89 
E) 91 
A) 92 
B) 90 
C) -86 
D) 89 
E) 91

Question 16

Tell where the function is decreasing. ​   ​

Accepted Answer

A) always increasing 
B) always decreasing 
C) (0, ∞) 
D) always constant 
E) (-∞, 0) 
A) always increasing 
B) always decreasing 
C) (0, ∞) 
D) always constant 
E) (-∞, 0)

Question 17

Evaluate g(t) - g(9) if g(t) = 12t2 - 6t + 3. ​

Accepted Answer

A) g(t) - g(9) = 12t2 - 918 + 6​t 
B) g(t) - g(9) = 6t2 - 918t + 12 
C) g(t) - g(9) = 12t2 - 918t - 6 
D) g(t) - g(9) = 6t2 + 12t - 918 
E) g(t) - g(9) = 12t2 - 6t - 918 
A) g(t) - g(9) = 12t2 - 918 + 6​t 
B) g(t) - g(9) = 6t2 - 918t + 12 
C) g(t) - g(9) = 12t2 - 918t - 6 
D) g(t) - g(9) = 6t2 + 12t - 918 
E) g(t) - g(9) = 12t2 - 6t - 918

Question 18

Identify the parent function and the transformation shown in the graph.Write an equation for the function shown in the graph. ​   ​

Accepted Answer

A) Horizontal shift of the x-axis of   
B) Vertical shift of the y-axis of   
C) Reflection in the x-axis of   
D) Horizontal shift of the y-axis of   
E) Vertical shift of the x-axis of   
A) Horizontal shift of the x-axis of   
B) Vertical shift of the y-axis of   
C) Reflection in the x-axis of   
D) Horizontal shift of the y-axis of   
E) Vertical shift of the x-axis of

Question 19

Select the graph of the given function and determine the interval(s) for which f(x) ≥ 0. ​
F(x) = 16 - x2
​

Accepted Answer

A) ​   ​
[-4, -4] 
B) ​   ​
[-4, 4] 
C) ​   ​
[-4, -4] 
D) ​   ​
[4, -4] 
E) ​   ​
[-4, 4] 
A) ​   ​
[-4, -4] 
B) ​   ​
[-4, 4] 
C) ​   ​
[-4, -4] 
D) ​   ​
[4, -4] 
E) ​   ​
[-4, 4]

Question 20

Find the domain of the function. ​   ​

Accepted Answer

A) All real numbers t except t = 0 
B) Negative real numbers t 
C) All real numbers t such that t > 0 
D) Non-negative real numbers t 
E) All real numbers t such that t = 0 
A) All real numbers t except t = 0 
B) Negative real numbers t 
C) All real numbers t such that t > 0 
D) Non-negative real numbers t 
E) All real numbers t such that t = 0

Simplify the variable expression below. a - a

Use algebraic tests to check the following for symmetry with respect to the axes and the origin.

Find the inverse function of f informally. F(x) = x - 5

Restrict the domain of f(x) = x² + 5 to x ≥ 0.Use a graphing utility to graph the function.

Approximate the numbers and place the correct symbol (< or >) between them.

A stream of water moving at the rate of v feet per second can carry particles of size inches.Find the size of the largest particle that can be carried by a stream flowing at the rate of foot per second.(Round your answer to three decimal places.)

Find the slope of the line determined by the equation.

Find the slope of the line passing through the pair of points. (8, -4), (1, -4)

Determine which numbers in the set are whole numbers. 9, -7, 0, , -15, 20,

Evaluate the expression below. 4^-1

Reduce the index of radical.

Select the graph of the function: f(x) = [[x]] - 4.

Evaluate the expression for the given value of x. -2x⁰, x = 20

Find the coordinates of a second point on the graph of a function f if the given point is on the graph and the function is odd. (4a, 6b)

Evaluate the indicated function for and .

Tell where the function is decreasing.

Evaluate g(t) - g(9) if g(t) = 12t² - 6t + 3.

Identify the parent function and the transformation shown in the graph.Write an equation for the function shown in the graph.

Select the graph of the given function and determine the interval(s) for which f(x) ≥ 0. F(x) = 16 - x²

Find the domain of the function.

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Exam 7: Prerequisites

Simplify the variable expression below. a - a

Use algebraic tests to check the following for symmetry with respect to the axes and the origin. ​

Find the inverse function of f informally. ​ F(x) = x - 5 ​

Restrict the domain of f(x) = x2 + 5 to x ≥ 0.Use a graphing utility to graph the function. ​

Approximate the numbers and place the correct symbol (< or >) between them.

A stream of water moving at the rate of v feet per second can carry particles of size inches.Find the size of the largest particle that can be carried by a stream flowing at the rate of foot per second.(Round your answer to three decimal places.) ​

Find the slope of the line determined by the equation. ​ ​

Find the slope of the line passing through the pair of points. ​ (8, -4), (1, -4) ​