Question 1

A rectangle is bounded by the x-axis and the semicircle   (see figure).Select the area A of the rectangle as a function of x, and determine the domain of the function. ​   ​

Accepted Answer

A)    , -7 ≤ x ≤ 7 
B)    , -7 ≤ x ≤ 7 
C)    , x ≥ 0 
D)    , x ≥ 0 
E)    , all real numbers 
A)    , -7 ≤ x ≤ 7 
B)    , -7 ≤ x ≤ 7 
C)    , x ≥ 0 
D)    , x ≥ 0 
E)    , all real numbers

Question 2

Find the zeros of the function algebraically. ​   ​

Accepted Answer

A) x = 5 
B) x = 10 
C) x = 9 
D) x = 8 
E) x = 0 
A) x = 5 
B) x = 10 
C) x = 9 
D) x = 8 
E) x = 0

Question 3

Solve the multiple-angle equation. ​   ​

Accepted Answer

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

Question 4

Draw the line using the slope and y-intercept. ​
Y + 1 = 2x
​

Accepted Answer

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

Question 5

Select the correct graph of the given function. ​   ​

Accepted Answer

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

Question 6

Find the value of x that corresponds to y = 7 in the graph of the equation 4x - 3y = -37. ​

Accepted Answer

A) 4 
B) -16 
C) -3 
D) 3 
E) -4 
A) 4 
B) -16 
C) -3 
D) 3 
E) -4

Question 7

Select the graph of the function and determine whether it is even, odd, or neither. ​
F(x) = 6x - 5
​

Accepted Answer

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

Question 8

Evaluate the following expression. ​   ​

Accepted Answer

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

Question 9

Let the function f be defined by the equation y = f (x) , where x and f (x) are real numbers.Find the domain and range of the function   . ​

Accepted Answer

A) domain:   
B) domain:   
C) domain:   
D) domain:   
E) domain:   
A) domain:   
B) domain:   
C) domain:   
D) domain:   
E) domain:

Question 10

Which of the following equation does not represent y as a function of x? ​

Accepted Answer

A) y2 = 1 - x 
B) y = x2 + 1 
C) x2 + y = 1 
D) y = x2 + x - 1 
E) y = x2 - 1 
A) y2 = 1 - x 
B) y = x2 + 1 
C) x2 + y = 1 
D) y = x2 + x - 1 
E) y = x2 - 1

Question 11

A school district purchases a high-volume printer, copier, and scanner for $20,000. After 10 years, the equipment will have to be replaced.Its value at that time is expected to be $2,600.Select a linear equation giving the value of the equipment during the 10 years it will be in use.
​

Accepted Answer

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

Question 12

Use the functions given by   and g(x) = x3 to find (f-1 º g-1)(1). ​

Accepted Answer

A) 14 
B) 12 
C) 16 
D) 20 
E) 18 
A) 14 
B) 12 
C) 16 
D) 20 
E) 18

Question 13

Solve the following equation. ​
​   ​

Accepted Answer

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

Question 14

Which set of ordered pairs represents a function from A to B? ​
A = {3, 2, 4, 1} and B = {-4, -5, 3, 2, 4}
​

Accepted Answer

A) {(3, -4), (2, -5), (4, -4), (3, -5)} 
B) {(3, -4), (4, 4), (2, -5), (1, 3), (2, 2)} 
C) {(3, 4), (1, 3), (2, 2)} 
D) {(3, 2), (2, -4), (4, 3), (1, 4)} 
E) {(3, -4), (2, 2), (1, 3)} 
A) {(3, -4), (2, -5), (4, -4), (3, -5)} 
B) {(3, -4), (4, 4), (2, -5), (1, 3), (2, 2)} 
C) {(3, 4), (1, 3), (2, 2)} 
D) {(3, 2), (2, -4), (4, 3), (1, 4)} 
E) {(3, -4), (2, 2), (1, 3)}

Question 15

Evaluate the following expression. ​   ​

Accepted Answer

A) 81 
B) 1 
C) -1 
D) 0 
E) - 1296 
A) 81 
B) 1 
C) -1 
D) 0 
E) - 1296

Question 16

Evaluate the expression for the given value of x. ​

Accepted Answer

A)    
B)    
C)    
D) 48 
E) -48 
A)    
B)    
C)    
D) 48 
E) -48

Question 17

Find the inverse function of g(x) = x2 - 3 informally. ​

Accepted Answer

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

Question 18

Select the linear function such that it has the indicated function values. ​   ​
​

Accepted Answer

A) f(x) = -x 
B) f(x) = 2 
C) f(x) = -2 
D) f(x) = 4 
E) f(x) = x 
A) f(x) = -x 
B) f(x) = 2 
C) f(x) = -2 
D) f(x) = 4 
E) f(x) = x

Question 19

Solve the following equation. ​   ​

Accepted Answer

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

Question 20

Identify the rules of algebra illustrated from left to right by the following statement.

Accepted Answer

A) associative property of multiplication; multiplicative inverse property; multiplicative identity property 
B) commutative property of multiplication; multiplicative inverse property; multiplicative identity property 
C) associative property of multiplication; multiplicative identity property; multiplicative inverse property 
D) commutative property of multiplication; multiplicative identity property; multiplicative inverse property 
E) distributive property; multiplicative identity property; multiplicative inverse property 
A) associative property of multiplication; multiplicative inverse property; multiplicative identity property 
B) commutative property of multiplication; multiplicative inverse property; multiplicative identity property 
C) associative property of multiplication; multiplicative identity property; multiplicative inverse property 
D) commutative property of multiplication; multiplicative identity property; multiplicative inverse property 
E) distributive property; multiplicative identity property; multiplicative inverse property

A rectangle is bounded by the x-axis and the semicircle (see figure).Select the area A of the rectangle as a function of x, and determine the domain of the function.

Find the zeros of the function algebraically.

Solve the multiple-angle equation.

Draw the line using the slope and y-intercept. Y + 1 = 2x

Select the correct graph of the given function.

Find the value of x that corresponds to y = 7 in the graph of the equation 4x - 3y = -37.

Select the graph of the function and determine whether it is even, odd, or neither. F(x) = 6x - 5

Evaluate the following expression.

Let the function f be defined by the equation y = f (x) , where x and f (x) are real numbers.Find the domain and range of the function .

Which of the following equation does not represent y as a function of x?

A school district purchases a high-volume printer, copier, and scanner for $20,000. After 10 years, the equipment will have to be replaced.Its value at that time is expected to be $2,600.Select a linear equation giving the value of the equipment during the 10 years it will be in use.

Use the functions given by and g(x) = x³ to find (f^-1 _º g^-1)(1).

Solve the following equation.

Which set of ordered pairs represents a function from A to B? A = {3, 2, 4, 1} and B = {-4, -5, 3, 2, 4}

Evaluate the following expression.

Evaluate the expression for the given value of x.

Find the inverse function of g(x) = x² - 3 informally.

Select the linear function such that it has the indicated function values.

Solve the following equation.

Identify the rules of algebra illustrated from left to right by the following statement.

Trigonometry

Analytic-Trigonometry

Additional-Topics-In-Trigonometry

Complex-Numbers

Exponential-And-Logarithmic-Functions

Topics-In-Analytic-Geometry

Filters

Exam 7: Prerequisites

A rectangle is bounded by the x-axis and the semicircle (see figure).Select the area A of the rectangle as a function of x, and determine the domain of the function. ​ ​

Find the zeros of the function algebraically. ​ ​

Solve the multiple-angle equation. ​ ​

Draw the line using the slope and y-intercept. ​ Y + 1 = 2x ​

Select the correct graph of the given function. ​ ​

Find the value of x that corresponds to y = 7 in the graph of the equation 4x - 3y = -37. ​

Select the graph of the function and determine whether it is even, odd, or neither. ​ F(x) = 6x - 5 ​

Evaluate the following expression. ​ ​

Let the function f be defined by the equation y = f (x) , where x and f (x) are real numbers.Find the domain and range of the function . ​

Which of the following equation does not represent y as a function of x? ​

A school district purchases a high-volume printer, copier, and scanner for $20,000. After 10 years, the equipment will have to be replaced.Its value at that time is expected to be $2,600.Select a linear equation giving the value of the equipment during the 10 years it will be in use. ​

Use the functions given by and g(x) = x3 to find (f-1 º g-1)(1). ​

Solve the following equation. ​ ​ ​

Which set of ordered pairs represents a function from A to B? ​ A = {3, 2, 4, 1} and B = {-4, -5, 3, 2, 4} ​

Evaluate the following expression. ​ ​

Evaluate the expression for the given value of x. ​

Find the inverse function of g(x) = x2 - 3 informally. ​

Select the linear function such that it has the indicated function values. ​ ​ ​

Solve the following equation. ​ ​

Identify the rules of algebra illustrated from left to right by the following statement.

Trigonometry

Analytic-Trigonometry

Additional-Topics-In-Trigonometry

Complex-Numbers

Exponential-And-Logarithmic-Functions

Topics-In-Analytic-Geometry

Filters

A rectangle is bounded by the x-axis and the semicircle (see figure).Select the area A of the rectangle as a function of x, and determine the domain of the function.

Find the zeros of the function algebraically.

Solve the multiple-angle equation.

Draw the line using the slope and y-intercept. Y + 1 = 2x

Select the correct graph of the given function.

Find the value of x that corresponds to y = 7 in the graph of the equation 4x - 3y = -37.

Select the graph of the function and determine whether it is even, odd, or neither. F(x) = 6x - 5

Evaluate the following expression.

Let the function f be defined by the equation y = f (x) , where x and f (x) are real numbers.Find the domain and range of the function .

Which of the following equation does not represent y as a function of x?

A school district purchases a high-volume printer, copier, and scanner for $20,000. After 10 years, the equipment will have to be replaced.Its value at that time is expected to be $2,600.Select a linear equation giving the value of the equipment during the 10 years it will be in use.

Use the functions given by and g(x) = x³ to find (f^-1 _º g^-1)(1).

Solve the following equation.

Which set of ordered pairs represents a function from A to B? A = {3, 2, 4, 1} and B = {-4, -5, 3, 2, 4}

Evaluate the following expression.

Evaluate the expression for the given value of x.

Find the inverse function of g(x) = x² - 3 informally.

Select the linear function such that it has the indicated function values.

Solve the following equation.