Question 1

Plot the following real numbers on the real number line. ​
-3)5
​

Accepted Answer

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

Question 2

Find the slope-intercept form of the equation of the line that passes through the given point and has the indicated slope m.Select correct answer for the line. ​   ​

Accepted Answer

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

Question 3

Rationalize the denominator.Then simplify your answer. ​
​   ​

Accepted Answer

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

Question 4

Find the average rate of change of the function from x1 = 1 to x2 = 6. ​   ​

Accepted Answer

A) The average rate of change from x1 = 1 to x2 = 6 is 19. 
B) The average rate of change from x1 = 1 to x2 = 6 is -9. 
C) The average rate of change from x1 = 1 to x2 = 6 is 9. 
D) The average rate of change from x1 = 1 to x2 = 6 is -28. 
E) The average rate of change from x1 = 1 to x2 = 6 is -2. 
A) The average rate of change from x1 = 1 to x2 = 6 is 19. 
B) The average rate of change from x1 = 1 to x2 = 6 is -9. 
C) The average rate of change from x1 = 1 to x2 = 6 is 9. 
D) The average rate of change from x1 = 1 to x2 = 6 is -28. 
E) The average rate of change from x1 = 1 to x2 = 6 is -2.

Question 5

Estimate the slope of the line. ​   ​

Accepted Answer

A) -2 
B) -3 
C) -4 
D) -1 
E) Undefined 
A) -2 
B) -3 
C) -4 
D) -1 
E) Undefined

Question 6

Find the average rate of change of the function from x1 = 0 to x2 = 3. ​   ​

Accepted Answer

A) The average rate of change from x1 = 0 to x2 = 3 is -2. 
B) The average rate of change from x1 = 0 to x2 = 3 is 12. 
C) The average rate of change from x1 = 0 to x2 = 3 is 2. 
D) The average rate of change from x1 = 0 to x2 = 3 is -12. 
E) The average rate of change from x1 = 0 to x2 = 3 is 19. 
A) The average rate of change from x1 = 0 to x2 = 3 is -2. 
B) The average rate of change from x1 = 0 to x2 = 3 is 12. 
C) The average rate of change from x1 = 0 to x2 = 3 is 2. 
D) The average rate of change from x1 = 0 to x2 = 3 is -12. 
E) The average rate of change from x1 = 0 to x2 = 3 is 19.

Question 7

Find the slope of the line passing through the pair of points. ​
(0, -8), (-6, 0)
​

Accepted Answer

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

Question 8

Evaluate the expression. ​
​   , x < -5
​

Accepted Answer

A) -1 
B) -3 
C) -23 
D) -26 
E) -25 
A) -1 
B) -3 
C) -23 
D) -26 
E) -25

Question 9

Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   . ​
​   ​

Accepted Answer

A) ​x = 0.398 
B) ​​x = 1.336 
C) ​​x = 0.094 
D) ​​x = 0.73 
E) ​​x = 0.139 
A) ​x = 0.398 
B) ​​x = 1.336 
C) ​​x = 0.094 
D) ​​x = 0.73 
E) ​​x = 0.139

Question 10

Select the correct graph, showing f and g are inverse functions. ​   ​

Accepted Answer

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

Question 11

Find the slope of the line passing through the given pair of points. ​
(0, 9), (2, 0)
​

Accepted Answer

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

Question 12

​​Evaluate the indicated function for   and   . ​   ​
​

Accepted Answer

A) 30 
B)    
C)    
D)    
E)    
A) 30 
B)    
C)    
D)    
E)

Question 13

Determine whether the function is one-to-one. ​
Y = (x - 5)2; x ≥ 5
​

Accepted Answer

A) No, it isn't one-to-one. 
B) Yes, it is one-to-one. 
A) No, it isn't one-to-one. 
B) Yes, it is one-to-one.

Question 14

Write the number in scientific notation. One milligram is about 0.015430 grain.

Accepted Answer

A) 0.1543 × 10-1 
B) 15.43 × 10-3 
C) 1.543 × 10-2 
D) 1.543 × 10-3 
E) 0.015430 × 10-2 
A) 0.1543 × 10-1 
B) 15.43 × 10-3 
C) 1.543 × 10-2 
D) 1.543 × 10-3 
E) 0.015430 × 10-2

Question 15

Evaluate the expression.

Accepted Answer

A)    
B)    
C)    
D) 5 
E) -5 
A)    
B)    
C)    
D) 5 
E) -5

Question 16

Determine algebraically whether f and g are inverse functions.   g(x) = x2 - 6, x ≥ 0

Accepted Answer

A) Yes, f and g are inverse functions.     
B) No, f and g are not inverse functions.     
A) Yes, f and g are inverse functions.     
B) No, f and g are not inverse functions.

Question 17

Find ( f / g )(x).   ​

Accepted Answer

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

Question 18

Evaluate the function f(x) = 3[[3x - 1]] + 5 for x = 6. ​

Accepted Answer

A) ​f(x) = 51 
B) ​f(x) = -6 
C) ​f(x) = 56 
D) ​f(x) = 6 
E) ​f(x) = 46 
A) ​f(x) = 51 
B) ​f(x) = -6 
C) ​f(x) = 56 
D) ​f(x) = 6 
E) ​f(x) = 46

Question 19

Use the viewing window shown to select a possible equation for the transformation of the parent function. ​   ​

Accepted Answer

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

Question 20

Find the zeros of the function algebraically. ​   ​

Accepted Answer

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

Plot the following real numbers on the real number line. -3)5

Find the slope-intercept form of the equation of the line that passes through the given point and has the indicated slope m.Select correct answer for the line.

Rationalize the denominator.Then simplify your answer.

Find the average rate of change of the function from x₁ = 1 to x₂ = 6.

Estimate the slope of the line.

Find the average rate of change of the function from x₁ = 0 to x₂ = 3.

Find the slope of the line passing through the pair of points. (0, -8), (-6, 0)

Evaluate the expression. , x < -5

Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval .

Select the correct graph, showing f and g are inverse functions.

Find the slope of the line passing through the given pair of points. (0, 9), (2, 0)

Evaluate the indicated function for and .

Determine whether the function is one-to-one. Y = (x - 5)²; x ≥ 5

Write the number in scientific notation. One milligram is about 0.015430 grain.

Evaluate the expression.

Determine algebraically whether f and g are inverse functions. g(x) = x² - 6, x ≥ 0

Find ( f / g )(x).

Evaluate the function f(x) = 3[[3x - 1]] + 5 for x = 6.

Use the viewing window shown to select a possible equation for the transformation of the parent function.

Find the zeros of the function algebraically.

Trigonometry

Analytic-Trigonometry

Additional-Topics-In-Trigonometry

Complex-Numbers

Exponential-And-Logarithmic-Functions

Topics-In-Analytic-Geometry

Filters

Exam 7: Prerequisites

Plot the following real numbers on the real number line. ​ -3)5 ​

Find the slope-intercept form of the equation of the line that passes through the given point and has the indicated slope m.Select correct answer for the line. ​ ​

Rationalize the denominator.Then simplify your answer. ​ ​ ​

Find the average rate of change of the function from x1 = 1 to x2 = 6. ​ ​

Estimate the slope of the line. ​ ​

Find the average rate of change of the function from x1 = 0 to x2 = 3. ​ ​

Find the slope of the line passing through the pair of points. ​ (0, -8), (-6, 0) ​

Evaluate the expression. ​ ​ , x < -5 ​

Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval . ​ ​ ​

Select the correct graph, showing f and g are inverse functions. ​ ​

Find the slope of the line passing through the given pair of points. ​ (0, 9), (2, 0) ​

​​Evaluate the indicated function for and . ​ ​ ​

Determine whether the function is one-to-one. ​ Y = (x - 5)2; x ≥ 5 ​

Write the number in scientific notation. One milligram is about 0.015430 grain.

Evaluate the expression.

Determine algebraically whether f and g are inverse functions. g(x) = x2 - 6, x ≥ 0

Find ( f / g )(x). ​

Evaluate the function f(x) = 3[[3x - 1]] + 5 for x = 6. ​

Use the viewing window shown to select a possible equation for the transformation of the parent function. ​ ​

Find the zeros of the function algebraically. ​ ​

Trigonometry

Analytic-Trigonometry

Additional-Topics-In-Trigonometry

Complex-Numbers

Exponential-And-Logarithmic-Functions

Topics-In-Analytic-Geometry

Filters

Plot the following real numbers on the real number line. -3)5

Find the slope-intercept form of the equation of the line that passes through the given point and has the indicated slope m.Select correct answer for the line.

Rationalize the denominator.Then simplify your answer.

Find the average rate of change of the function from x₁ = 1 to x₂ = 6.

Estimate the slope of the line.

Find the average rate of change of the function from x₁ = 0 to x₂ = 3.

Find the slope of the line passing through the pair of points. (0, -8), (-6, 0)

Evaluate the expression. , x < -5

Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval .

Select the correct graph, showing f and g are inverse functions.

Find the slope of the line passing through the given pair of points. (0, 9), (2, 0)

Evaluate the indicated function for and .

Determine whether the function is one-to-one. Y = (x - 5)²; x ≥ 5

Determine algebraically whether f and g are inverse functions. g(x) = x² - 6, x ≥ 0

Find ( f / g )(x).

Evaluate the function f(x) = 3[[3x - 1]] + 5 for x = 6.

Use the viewing window shown to select a possible equation for the transformation of the parent function.

Find the zeros of the function algebraically.