Question 1

Write the expression as a single radical.Then simplify your answer.

Accepted Answer

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

Question 2

Evaluate the expression for the given value of x. ​
-2x3, x = 3
​

Accepted Answer

A) 18 
B) -54 
C) -6 
D) 54 
E) -18 
A) 18 
B) -54 
C) -6 
D) 54 
E) -18

Question 3

Use the intercept form to find the equation of the line with the given intercepts.The intercept form of the equation of a line with intercepts (a, 0) and (0, b) is ​
​   ​
X-intercept: (-3, 0)
Y-intercept: (0, 8)
​
​

Accepted Answer

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

Question 4

Evaluate f(11) if   . ​

Accepted Answer

A) f(11) = -1 
B) f(11) = 2 
C) f(11) = 0 
D) f(11) = 1 
E) f(11) = 3 
A) f(11) = -1 
B) f(11) = 2 
C) f(11) = 0 
D) f(11) = 1 
E) f(11) = 3

Question 5

Find the graph of the equation. ​   ​

Accepted Answer

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

Question 6

A real estate office handles an apartment complex with 60 units.When the rent per unit is $98 per month, all 60 units are occupied.However, when the rent is $630 per month, the average number of occupied units drops to 46.Assume that the relationship between the monthly rent p and the demand x is linear. Select the equation of the line giving the demand x in terms of the rent p.
​

Accepted Answer

A) x = 532p + 62.58 
B) x = -38p - 62.58 
C) x =   p + 62.58 
D) x = -38p + 62.58 
E) x = 14p + 62.58 
A) x = 532p + 62.58 
B) x = -38p - 62.58 
C) x =   p + 62.58 
D) x = -38p + 62.58 
E) x = 14p + 62.58

Question 7

Select the correct graph of the given function. ​   ​

Accepted Answer

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

Question 8

Use a graphing utility to graph the equation.Use a standard setting.Approximate any intercepts. ​   ​

Accepted Answer

A) ​Intercepts: (0, 7), (-14, 0) ​   
B) Intercepts: (-14, 0), (0, -7) ​   
C) ​Intercepts: (14, 0), (0, -7) ​   
D) ​Intercepts: (0, 8), (15, 0) ​   
E) ​Intercepts: (14, 0), (0, 7) ​   
A) ​Intercepts: (0, 7), (-14, 0) ​   
B) Intercepts: (-14, 0), (0, -7) ​   
C) ​Intercepts: (14, 0), (0, -7) ​   
D) ​Intercepts: (0, 8), (15, 0) ​   
E) ​Intercepts: (14, 0), (0, 7) ​

Question 9

Find the slope-intercept form of the equation of the line passing through the points.Select the correct answer for the line. ​   ​

Accepted Answer

A) y =   x-2   
B) y =   x-6   
C) y =   x+2   
D) y =   x-4   
E) y =   x+6   
A) y =   x-2   
B) y =   x-6   
C) y =   x+2   
D) y =   x-4   
E) y =   x+6

Question 10

Evaluate the function   for x = 6. ​

Accepted Answer

A) ​h(x) = 9 
B) ​h(x) = 3 
C) ​h(x) = -12 
D) ​h(x) = 12 
E) ​h(x) = -3 
A) ​h(x) = 9 
B) ​h(x) = 3 
C) ​h(x) = -12 
D) ​h(x) = 12 
E) ​h(x) = -3

Question 11

The function f(x) = x2 - 2 is one-to-one on the domain (x ≤ 0) .Find f -1(x). ​

Accepted Answer

A)    
B)    
C)    
D)    
E) f -1(x) = x2 + 2 
A)    
B)    
C)    
D)    
E) f -1(x) = x2 + 2

Question 12

Use a calculator to find the decimal form of the rational number.If it is a nonterminating decimal, write the repeating pattern.   ​

Accepted Answer

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

Question 13

Find the center and radius of the circle   .

Accepted Answer

A) center: (1, 5), radius 5 
B) center: (5, 1), radius 25 
C) center: (-5, -1), radius 5 
D) center: (-5, -1), radius 25 
E) center: (5, 1), radius 5 
A) center: (1, 5), radius 5 
B) center: (5, 1), radius 25 
C) center: (-5, -1), radius 5 
D) center: (-5, -1), radius 25 
E) center: (5, 1), radius 5

Question 14

Use inequality notation and interval notation to describe the set. ​
The annual rate of inflation r is expected to be at least 4% but no more than 9%.
​

Accepted Answer

A) Inequality : 4% ≤ r ≤ 9% Interval : [4, 9] 
B) Inequality : 4%  r > 9% Interval : [4, 9] 
A) Inequality : 4% ≤ r ≤ 9% Interval : [4, 9] 
B) Inequality : 4%  r > 9% Interval : [4, 9]

Question 15

Simplify the following expression. ​   ​

Accepted Answer

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

Question 16

Find the inverse of the one-to-one function. ​   ​

Accepted Answer

A)    
B)    
C)    
D)    
E) inverse does not exist 
A)    
B)    
C)    
D)    
E) inverse does not exist

Question 17

For following function, select (on the same set of coordinate axes) a graph for   . ​   ​

Accepted Answer

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

Question 18

Plot the two real numbers on the real number line.Then place the appropriate inequality symbol () between them. ​
-4, -7
​

Accepted Answer

A) -4 > -7 B) -4 ≤ -7 C) -4 ≥ -7 D) -4 < -7 E) -4 = -7 A) -4 > -7 B) -4 ≤ -7 C) -4 ≥ -7 D) -4 < -7 E) -4 = -7

Question 19

Determine whether the function is one-to- one. ​
Y = 3x
​

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 20

The function given by y = 0.03x2 + 245.50, 0 < x < 100 approximates the exhaust temperature y in degrees Fahrenheit, x where is the percent load for a diesel engine.Find the inverse function. ​

Accepted Answer

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

Write the expression as a single radical.Then simplify your answer.

Evaluate the expression for the given value of x. -2x³, x = 3

Use the intercept form to find the equation of the line with the given intercepts.The intercept form of the equation of a line with intercepts (a, 0) and (0, b) is X-intercept: (-3, 0) Y-intercept: (0, 8)

Evaluate f(11) if .

Find the graph of the equation.

Select the correct graph of the given function.

Use a graphing utility to graph the equation.Use a standard setting.Approximate any intercepts.

Find the slope-intercept form of the equation of the line passing through the points.Select the correct answer for the line.

Evaluate the function for x = 6.

The function f(x) = x² - 2 is one-to-one on the domain (x ≤ 0) .Find f ^-1(x).

Use a calculator to find the decimal form of the rational number.If it is a nonterminating decimal, write the repeating pattern.

Find the center and radius of the circle .

Use inequality notation and interval notation to describe the set. The annual rate of inflation r is expected to be at least 4% but no more than 9%.

Simplify the following expression.

Find the inverse of the one-to-one function.

For following function, select (on the same set of coordinate axes) a graph for .

Plot the two real numbers on the real number line.Then place the appropriate inequality symbol (< or >) between them. -4, -7

Determine whether the function is one-to- one. Y = 3x

The function given by y = 0.03x² + 245.50, 0 < x < 100 approximates the exhaust temperature y in degrees Fahrenheit, x where is the percent load for a diesel engine.Find the inverse function.

Trigonometry

Analytic-Trigonometry

Additional-Topics-In-Trigonometry

Complex-Numbers

Exponential-And-Logarithmic-Functions

Topics-In-Analytic-Geometry

Filters

Exam 7: Prerequisites

Write the expression as a single radical.Then simplify your answer.

Evaluate the expression for the given value of x. ​ -2x3, x = 3 ​

Use the intercept form to find the equation of the line with the given intercepts.The intercept form of the equation of a line with intercepts (a, 0) and (0, b) is ​ ​ ​ X-intercept: (-3, 0) Y-intercept: (0, 8) ​ ​

Evaluate f(11) if . ​

Find the graph of the equation. ​ ​

Select the correct graph of the given function. ​ ​

Use a graphing utility to graph the equation.Use a standard setting.Approximate any intercepts. ​ ​

Find the slope-intercept form of the equation of the line passing through the points.Select the correct answer for the line. ​ ​

Evaluate the function for x = 6. ​

The function f(x) = x2 - 2 is one-to-one on the domain (x ≤ 0) .Find f -1(x). ​

Use a calculator to find the decimal form of the rational number.If it is a nonterminating decimal, write the repeating pattern. ​

Find the center and radius of the circle .

Use inequality notation and interval notation to describe the set. ​ The annual rate of inflation r is expected to be at least 4% but no more than 9%. ​

Simplify the following expression. ​ ​

Find the inverse of the one-to-one function. ​ ​

For following function, select (on the same set of coordinate axes) a graph for . ​ ​

Plot the two real numbers on the real number line.Then place the appropriate inequality symbol (< or >) between them. ​ -4, -7 ​

Determine whether the function is one-to- one. ​ Y = 3x ​

The function given by y = 0.03x2 + 245.50, 0 < x < 100 approximates the exhaust temperature y in degrees Fahrenheit, x where is the percent load for a diesel engine.Find the inverse function. ​

Trigonometry

Analytic-Trigonometry

Additional-Topics-In-Trigonometry

Complex-Numbers

Exponential-And-Logarithmic-Functions

Topics-In-Analytic-Geometry

Filters

Evaluate the expression for the given value of x. -2x³, x = 3

Use the intercept form to find the equation of the line with the given intercepts.The intercept form of the equation of a line with intercepts (a, 0) and (0, b) is X-intercept: (-3, 0) Y-intercept: (0, 8)

Evaluate f(11) if .

Find the graph of the equation.

Select the correct graph of the given function.

Use a graphing utility to graph the equation.Use a standard setting.Approximate any intercepts.

Find the slope-intercept form of the equation of the line passing through the points.Select the correct answer for the line.

Evaluate the function for x = 6.

The function f(x) = x² - 2 is one-to-one on the domain (x ≤ 0) .Find f ^-1(x).

Use a calculator to find the decimal form of the rational number.If it is a nonterminating decimal, write the repeating pattern.

Use inequality notation and interval notation to describe the set. The annual rate of inflation r is expected to be at least 4% but no more than 9%.

Simplify the following expression.

Find the inverse of the one-to-one function.

For following function, select (on the same set of coordinate axes) a graph for .

Plot the two real numbers on the real number line.Then place the appropriate inequality symbol (< or >) between them. -4, -7

Determine whether the function is one-to- one. Y = 3x

The function given by y = 0.03x² + 245.50, 0 < x < 100 approximates the exhaust temperature y in degrees Fahrenheit, x where is the percent load for a diesel engine.Find the inverse function.