Question 1

Use the graph of   to write an equation for the function whose graph is shown. ​
​   ​

Accepted Answer

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

Question 2

Give a verbal description of the subset of real numbers represented by the inequality, and sketch the subset on the real number line. ​
0 < x ≤ 8
​

Accepted Answer

A) 0 ≤ x ≤ 8 denotes the set of positive real numbers less than or equal to 8.   
B) 0  8 denotes the set of positive real numbers greater than 8.   
C) 0 < x < 8 denotes the set of positive real numbers less than 8.   
D) 0 < x ≥ 8 denotes the set of positive real numbers greater than or equal to 8.   
E) 0 < x ≤ 8 denotes the set of positive real numbers less than or equal to 8.   
A) 0 ≤ x ≤ 8 denotes the set of positive real numbers less than or equal to 8.   
B) 0  8 denotes the set of positive real numbers greater than 8.   
C) 0 < x < 8 denotes the set of positive real numbers less than 8.   
D) 0 < x ≥ 8 denotes the set of positive real numbers greater than or equal to 8.   
E) 0 < x ≤ 8 denotes the set of positive real numbers less than or equal to 8.

Question 3

Evaluate the following expression. ​   ​

Accepted Answer

A) 129 
B) 125 
C) 127 
D) 128 
E) 126 
A) 129 
B) 125 
C) 127 
D) 128 
E) 126

Question 4

Evaluate f(7) if f(x) = 4x - 1. ​

Accepted Answer

A) f(7) = 27 
B) f(7) = 26 
C) f(7) = 29 
D) f(7) = 25 
E) f(7) = 28 
A) f(7) = 27 
B) f(7) = 26 
C) f(7) = 29 
D) f(7) = 25 
E) f(7) = 28

Question 5

Simplify the following expression. ​   ​

Accepted Answer

A) 1 
B) x6y​4 
C)    
D) 4 
E)    
A) 1 
B) x6y​4 
C)    
D) 4 
E)

Question 6

Use the functions given by   and g(x) = x3 to find (f-1 º f-1)(-5). ​

Accepted Answer

A) 36 
B) 44 
C) 40 
D) 38 
E) 42 
A) 36 
B) 44 
C) 40 
D) 38 
E) 42

Question 7

Find (f / g)(x).What is the domain of f / g? ​   ​

Accepted Answer

A)    ; all real numbers x. 
B)    ; all real numbers x except x = 0 
C)    ; all real numbers x except x =   
D)    ; all real numbers x except x = 0 
E)    ; all real numbers x except x =   
A)    ; all real numbers x. 
B)    ; all real numbers x except x = 0 
C)    ; all real numbers x except x =   
D)    ; all real numbers x except x = 0 
E)    ; all real numbers x except x =

Question 8

Simplify the following radical expression. ​   ​

Accepted Answer

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

Question 9

Find (f + g)(x). ​   ​

Accepted Answer

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

Question 10

​Evaluate the function at the specified value of the independent variable and simplify. ​   ​g(   )
​

Accepted Answer

A) ​g(   ) =   
B) ​g(   ) =   
C) ​g(   ) =   
D) ​g(   ) = 5 
E) ​g(   ) =   
A) ​g(   ) =   
B) ​g(   ) =   
C) ​g(   ) =   
D) ​g(   ) = 5 
E) ​g(   ) =

Question 11

Evaluate the function h(x) = [[x + 9]] for x = -4. ​

Accepted Answer

A) ​h(x) = 13 
B) ​h(x) = 5 
C) ​h(x) = 9 
D) ​h(x) = -13 
E) ​h(x) = -5 
A) ​h(x) = 13 
B) ​h(x) = 5 
C) ​h(x) = 9 
D) ​h(x) = -13 
E) ​h(x) = -5

Question 12

Place the correct symbol ( , or = ) between the two real numbers. ​
-|-8| |-8|
​

Accepted Answer

A) -|-8| ≤ |-8| 
B) -|-8|  |-8| 
E) -|-8| ≥ |-8| 
A) -|-8| ≤ |-8| 
B) -|-8|  |-8| 
E) -|-8| ≥ |-8|

Question 13

Place the correct symbol (, or =) between the pair of real numbers. -(-4) -4

Accepted Answer

A) -(-4)  -4 
A) -(-4)  -4

Question 14

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. ​
P(2)4, -8.7), m = -4
​

Accepted Answer

A) x = 2.4y + 0.9   
B) x = 2.4   
C) y = 2.4   ​ 
D) y = -4x + 0.9   ​ 
E) y = 2.4x + 0.9   
A) x = 2.4y + 0.9   
B) x = 2.4   
C) y = 2.4   ​ 
D) y = -4x + 0.9   ​ 
E) y = 2.4x + 0.9

Question 15

Evaluate the expression for the given value of x. expression: -3x2 + 3x - 2 value: x = -4

Accepted Answer

A) 10 
B) -62 
C) 34 
D) -53 
E) 19 
A) 10 
B) -62 
C) 34 
D) -53 
E) 19

Question 16

Rewrite the expression with positive exponents and simplify.   ​

Accepted Answer

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

Question 17

Identify the rule(s) of algebra illustrated by the statement. ​
X + 6 = 6 + x
​

Accepted Answer

A) Additive Identity Property. 
B) Associative Property of Addition. 
C) Commutative Property of Addition. 
D) Additive Inverse Property. 
E) Distributive Property. 
A) Additive Identity Property. 
B) Associative Property of Addition. 
C) Commutative Property of Addition. 
D) Additive Inverse Property. 
E) Distributive Property.

Question 18

Find all solutions of the following equation in the interval [0, 2π). ​   ​

Accepted Answer

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

Question 19

Use inverse functions where needed to find all solutions (if they exist) of the given equation on the interval [0, 2π). ​   ​

Accepted Answer

A) ​   
B)    
C)    
D)    
E) ​solution does not exist 
A) ​   
B)    
C)    
D)    
E) ​solution does not exist

Question 20

Which of the following is a solution to the given equation? ​
Cscx + 2 = 0
​

Accepted Answer

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

Use the graph of to write an equation for the function whose graph is shown.

Give a verbal description of the subset of real numbers represented by the inequality, and sketch the subset on the real number line. 0 < x ≤ 8

Evaluate the following expression.

Evaluate f(7) if f(x) = 4x - 1.

Simplify the following expression.

Use the functions given by and g(x) = x³ to find (f^-1 _º f^-1)(-5).

Find (f / g)(x).What is the domain of f / g?

Simplify the following radical expression.

Find (f + g)(x).

Evaluate the function at the specified value of the independent variable and simplify. g( )

Evaluate the function h(x) = [[x + 9]] for x = -4.

Place the correct symbol ( <, >, or = ) between the two real numbers. -|-8| |-8|

Place the correct symbol (<, >, or =) between the pair of real numbers. -(-4) -4

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. P(2)4, -8.7), m = -4

Evaluate the expression for the given value of x. expression: -3x² + 3x - 2 value: x = -4

Rewrite the expression with positive exponents and simplify.

Identify the rule(s) of algebra illustrated by the statement. X + 6 = 6 + x

Find all solutions of the following equation in the interval [0, 2π).

Use inverse functions where needed to find all solutions (if they exist) of the given equation on the interval [0, 2π).

Which of the following is a solution to the given equation? Cscx + 2 = 0

Trigonometry

Analytic-Trigonometry

Additional-Topics-In-Trigonometry

Complex-Numbers

Exponential-And-Logarithmic-Functions

Topics-In-Analytic-Geometry

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Exam 7: Prerequisites

Use the graph of to write an equation for the function whose graph is shown. ​ ​ ​

Give a verbal description of the subset of real numbers represented by the inequality, and sketch the subset on the real number line. ​ 0 < x ≤ 8 ​

Evaluate the following expression. ​ ​

Evaluate f(7) if f(x) = 4x - 1. ​

Simplify the following expression. ​ ​

Use the functions given by and g(x) = x3 to find (f-1 º f-1)(-5). ​

Find (f / g)(x).What is the domain of f / g? ​ ​

Simplify the following radical expression. ​ ​

Find (f + g)(x). ​ ​

​Evaluate the function at the specified value of the independent variable and simplify. ​ ​g( ) ​

Evaluate the function h(x) = [[x + 9]] for x = -4. ​

Place the correct symbol ( <, >, or = ) between the two real numbers. ​ -|-8| |-8| ​

Place the correct symbol (<, >, or =) between the pair of real numbers. -(-4) -4

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. ​ P(2)4, -8.7), m = -4 ​

Evaluate the expression for the given value of x. expression: -3x2 + 3x - 2 value: x = -4

Rewrite the expression with positive exponents and simplify. ​

Identify the rule(s) of algebra illustrated by the statement. ​ X + 6 = 6 + x ​

Find all solutions of the following equation in the interval [0, 2π). ​ ​

Use inverse functions where needed to find all solutions (if they exist) of the given equation on the interval [0, 2π). ​ ​

Which of the following is a solution to the given equation? ​ Cscx + 2 = 0 ​

Trigonometry

Analytic-Trigonometry

Additional-Topics-In-Trigonometry

Complex-Numbers

Exponential-And-Logarithmic-Functions

Topics-In-Analytic-Geometry

Filters

Use the graph of to write an equation for the function whose graph is shown.

Give a verbal description of the subset of real numbers represented by the inequality, and sketch the subset on the real number line. 0 < x ≤ 8

Evaluate the following expression.

Evaluate f(7) if f(x) = 4x - 1.

Simplify the following expression.

Use the functions given by and g(x) = x³ to find (f^-1 _º f^-1)(-5).

Find (f / g)(x).What is the domain of f / g?

Simplify the following radical expression.

Find (f + g)(x).

Evaluate the function at the specified value of the independent variable and simplify. g( )

Evaluate the function h(x) = [[x + 9]] for x = -4.

Place the correct symbol ( <, >, or = ) between the two real numbers. -|-8| |-8|

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. P(2)4, -8.7), m = -4

Evaluate the expression for the given value of x. expression: -3x² + 3x - 2 value: x = -4

Rewrite the expression with positive exponents and simplify.

Identify the rule(s) of algebra illustrated by the statement. X + 6 = 6 + x

Find all solutions of the following equation in the interval [0, 2π).

Use inverse functions where needed to find all solutions (if they exist) of the given equation on the interval [0, 2π).

Which of the following is a solution to the given equation? Cscx + 2 = 0