Question 1

Determine which of the following point lies on the graph of the equation. ​   ​

Accepted Answer

A) (2, 10) 
B) (2, 9) 
C) (2, 8) 
D) (9, 8) 
E) (3, 8) 
A) (2, 10) 
B) (2, 9) 
C) (2, 8) 
D) (9, 8) 
E) (3, 8)

Question 2

Solve the following equation. ​   ​

Accepted Answer

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

Question 3

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 4

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

Accepted Answer

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

Question 5

Graphically estimate the x- and y-intercepts of the graph. ​
Y = |x + 3|
​   ​

Accepted Answer

A) x-intercept: (-3, 0) y-intercept: (0, 3) 
B) x-intercept: (0, -3) y-intercept: (3, 0) 
C) x-intercept: (0, -3) y-intercept: (0, 3) 
D) x-intercept: (3, 0) y-intercept: (3, 0) 
E) x-intercept: (0, 3) y-intercept: (3, 0) 
A) x-intercept: (-3, 0) y-intercept: (0, 3) 
B) x-intercept: (0, -3) y-intercept: (3, 0) 
C) x-intercept: (0, -3) y-intercept: (0, 3) 
D) x-intercept: (3, 0) y-intercept: (3, 0) 
E) x-intercept: (0, 3) y-intercept: (3, 0)

Question 6

Assume that the graph has y-symmetry.Select the complete graph of the equation. ​
​   ​

Accepted Answer

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

Question 7

Simplify. ​   ​

Accepted Answer

A) 1 
B) (x + 5) 
C) 5 
D)    
E) 0 
A) 1 
B) (x + 5) 
C) 5 
D)    
E) 0

Question 8

Find the difference quotient and simplify your answer. ​
F(y) = 6y2 - 3y,   , h ≠ 0
​

Accepted Answer

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

Question 9

Write the expression without absolute value symbols. |x - 4| + |x - 5|, given 0 < x < 1

Accepted Answer

A) 9 
B) 2x - 1 
C) 2x + 1 
D) 2x - 9​ 
E) 2x + 9 
A) 9 
B) 2x - 1 
C) 2x + 1 
D) 2x - 9​ 
E) 2x + 9

Question 10

A mechanic is paid $13.00 per hour for regular time and time-and-a-half for overtime.The weekly wage function is given by ​   ​
Where h is the number of hours worked in a week.
​
Evaluate W(30), W(50).
​

Accepted Answer

A) ​W(30) = 410, W(50) = 750 
B) ​W(30) = 430, W(50) = 770 
C) ​W(30) = 400, W(50) = 740 
D) ​W(30) = 390, W(50) = 730 
E) ​W(30) = 420, W(50) = 760 
A) ​W(30) = 410, W(50) = 750 
B) ​W(30) = 430, W(50) = 770 
C) ​W(30) = 400, W(50) = 740 
D) ​W(30) = 390, W(50) = 730 
E) ​W(30) = 420, W(50) = 760

Question 11

Find the y-intercept of the graph of the equation 4y = 3x + 12. ​

Accepted Answer

A) (0, -3) 
B) (-4, 0) 
C) (0, 3) 
D) (0, -4) 
E) (0, 12) 
A) (0, -3) 
B) (-4, 0) 
C) (0, 3) 
D) (0, -4) 
E) (0, 12)

Question 12

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

Accepted Answer

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

Question 13

Write an equation for the function that is described by the following characteristics. The shape of f(x) = [[x]], but reflected in the y-axis, moved eight units down.

Accepted Answer

A) g(x) = [[-x]] + 8 
B) g(x) = -[[x - 8]] 
C) g(x) = -[[x + 8]] 
D) g(x) = [[-x]] - 8 
E) g(x) = -[[x]] + 8 
A) g(x) = [[-x]] + 8 
B) g(x) = -[[x - 8]] 
C) g(x) = -[[x + 8]] 
D) g(x) = [[-x]] - 8 
E) g(x) = -[[x]] + 8

Question 14

Find the domain of the function. ​
F(x) = 2x2 + 4x - 5
​

Accepted Answer

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

Question 15

Select the graph of the function and determine whether it is even, odd, or neither. ​
F(x) = x2 - 6
​

Accepted Answer

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

Question 16

Rationalize the numerator.Then simplify your answer.   ​

Accepted Answer

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

Question 17

Find the graph of the equation. ​
F (x) = | x - 4 |
​

Accepted Answer

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

Question 18

Evaluate the expression. ​
|-27|
​

Accepted Answer

A) -27 
B) 54 
C) 27 
D) -25 
E) -28 
A) -27 
B) 54 
C) 27 
D) -25 
E) -28

Question 19

A sales representative of a company using a personal car receives $160 per day for lodging and meals plus $0.53 per mile driven.Select a linear equation giving the daily cost C to the company in terms of x, the number of miles driven. ​

Accepted Answer

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

Question 20

Find the slope of the line passing through the pair of points. ​
P(5, 4); Q(9, 20).​
​

Accepted Answer

A) m = 5 
B) m = 4 
C) m = 2 
D) m = 3 
E) m = 6 
A) m = 5 
B) m = 4 
C) m = 2 
D) m = 3 
E) m = 6

Determine which of the following point lies on the graph of the equation.

Solve the following equation.

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

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

Graphically estimate the x- and y-intercepts of the graph. Y = |x + 3|

Assume that the graph has y-symmetry.Select the complete graph of the equation.

Simplify.

Find the difference quotient and simplify your answer. F(y) = 6y² - 3y, , h ≠ 0

Write the expression without absolute value symbols. |x - 4| + |x - 5|, given 0 < x < 1

A mechanic is paid $13.00 per hour for regular time and time-and-a-half for overtime.The weekly wage function is given by Where h is the number of hours worked in a week. Evaluate W(30), W(50).

Find the y-intercept of the graph of the equation 4y = 3x + 12.

Evaluate the indicated function for and .

Write an equation for the function that is described by the following characteristics. The shape of f(x) = [[x]], but reflected in the y-axis, moved eight units down.

Find the domain of the function. F(x) = 2x² + 4x - 5

Select the graph of the function and determine whether it is even, odd, or neither. F(x) = x² - 6

Rationalize the numerator.Then simplify your answer.

Find the graph of the equation. F (x) = | x - 4 |

Evaluate the expression. |-27|

A sales representative of a company using a personal car receives $160 per day for lodging and meals plus $0.53 per mile driven.Select a linear equation giving the daily cost C to the company in terms of x, the number of miles driven.

Find the slope of the line passing through the pair of points. P(5, 4); Q(9, 20).

Trigonometry

Analytic-Trigonometry

Additional-Topics-In-Trigonometry

Complex-Numbers

Exponential-And-Logarithmic-Functions

Topics-In-Analytic-Geometry

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Exam 7: Prerequisites

Determine which of the following point lies on the graph of the equation. ​ ​

Solve the following equation. ​ ​

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

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

Graphically estimate the x- and y-intercepts of the graph. ​ Y = |x + 3| ​ ​

Assume that the graph has y-symmetry.Select the complete graph of the equation. ​ ​ ​

Simplify. ​ ​

Find the difference quotient and simplify your answer. ​ F(y) = 6y2 - 3y, , h ≠ 0 ​

Write the expression without absolute value symbols. |x - 4| + |x - 5|, given 0 < x < 1

A mechanic is paid $13.00 per hour for regular time and time-and-a-half for overtime.The weekly wage function is given by ​ ​ Where h is the number of hours worked in a week. ​ Evaluate W(30), W(50). ​

Find the y-intercept of the graph of the equation 4y = 3x + 12. ​

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

Write an equation for the function that is described by the following characteristics. The shape of f(x) = [[x]], but reflected in the y-axis, moved eight units down.

Find the domain of the function. ​ F(x) = 2x2 + 4x - 5 ​

Select the graph of the function and determine whether it is even, odd, or neither. ​ F(x) = x2 - 6 ​

Rationalize the numerator.Then simplify your answer. ​

Find the graph of the equation. ​ F (x) = | x - 4 | ​

Evaluate the expression. ​ |-27| ​

A sales representative of a company using a personal car receives $160 per day for lodging and meals plus $0.53 per mile driven.Select a linear equation giving the daily cost C to the company in terms of x, the number of miles driven. ​

Find the slope of the line passing through the pair of points. ​ P(5, 4); Q(9, 20).​ ​

Trigonometry

Analytic-Trigonometry

Additional-Topics-In-Trigonometry

Complex-Numbers

Exponential-And-Logarithmic-Functions

Topics-In-Analytic-Geometry

Filters

Determine which of the following point lies on the graph of the equation.

Solve the following equation.

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

Graphically estimate the x- and y-intercepts of the graph. Y = |x + 3|

Assume that the graph has y-symmetry.Select the complete graph of the equation.

Simplify.

Find the difference quotient and simplify your answer. F(y) = 6y² - 3y, , h ≠ 0

A mechanic is paid $13.00 per hour for regular time and time-and-a-half for overtime.The weekly wage function is given by Where h is the number of hours worked in a week. Evaluate W(30), W(50).

Find the y-intercept of the graph of the equation 4y = 3x + 12.

Evaluate the indicated function for and .

Find the domain of the function. F(x) = 2x² + 4x - 5

Select the graph of the function and determine whether it is even, odd, or neither. F(x) = x² - 6

Rationalize the numerator.Then simplify your answer.

Find the graph of the equation. F (x) = | x - 4 |

Evaluate the expression. |-27|

A sales representative of a company using a personal car receives $160 per day for lodging and meals plus $0.53 per mile driven.Select a linear equation giving the daily cost C to the company in terms of x, the number of miles driven.

Find the slope of the line passing through the pair of points. P(5, 4); Q(9, 20).