Question 1

Use the factoring method to solve the equation.

Accepted Answer

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

Question 2

Use the quadratic formula to find all real solutions of the equation.

Accepted Answer

A)  x = 18, x = 8 
B)  x = 9, x = -4 
C)  x = 9, x = 8 
D)  x = -9, x = 4 
E)  x = 9, x = 4 
A)  x = 18, x = 8 
B)  x = 9, x = -4 
C)  x = 9, x = 8 
D)  x = -9, x = 4 
E)  x = 9, x = 4

Question 3

Draw the graph using a translation of the graph of   .

Accepted Answer

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

Question 4

Determine   for the pair of functions   and   .

Accepted Answer

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

Question 5

Use the quadratic formula to find all real solutions of the equation.

Accepted Answer

A)    
B)    
C)    
D)    
E)  no real solutions 
A)    
B)    
C)    
D)    
E)  no real solutions

Question 6

Which of the following graphs accurately represents the equation? f ( x ) = -( x - 2)2 - 4

Accepted Answer

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

Question 7

Use the method of completing the square to solve the quadratic equation.

Accepted Answer

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

Question 8

The distance (in feet) that an object will fall in   seconds is given by the formula   . How long will it take an object to fall 784 feet?

Accepted Answer

A)  7 sec 
B)  49 sec 
C)  9 sec 
D)  6 sec 
E)  48 sec 
A)  7 sec 
B)  49 sec 
C)  9 sec 
D)  6 sec 
E)  48 sec

Question 9

Find the inverse of the function and express it using   notation.

Accepted Answer

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

Question 10

Factor the trinomial square and use the square root method to solve the equation.

Accepted Answer

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

Question 11

Solve the inequality.

Accepted Answer

A)    
B)    
C)    
D)    
E)  no solution 
A)    
B)    
C)    
D)    
E)  no solution

Question 12

Solve the equation and verify that the sum of the solutions is -   and the product of the solutions is   .

Accepted Answer

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

Question 13

Julia made a purchase at a furniture store, but it was too big and did not fit into her car. So, she arranged to have the store deliver the purchase for her. She paid for her purchase, plus the sales taxes, plus the fee. The taxes are 5 % and the fee is $25. Write a function t ( x ) for the total, after taxes, on the purchase amount x . Write another function f ( x ) for the total, including the delivery fee, on the purchase amount x . How much money did Julia spend, if she made a $440 purchase?

Accepted Answer

A)  t ( x ) = 0.05 x ; f ( x ) = x + 25 ; $47 
B)  t ( x ) = 1.05 x ; f ( x ) = x + 25 ; $487.00 
C)  t ( x ) = 1.05 x ; f ( x ) = x + 25 ; $488.25 
D)  t ( x ) = 0.05 x ; f ( x ) = x + 25 ; $487.00 
A)  t ( x ) = 0.05 x ; f ( x ) = x + 25 ; $47 
B)  t ( x ) = 1.05 x ; f ( x ) = x + 25 ; $487.00 
C)  t ( x ) = 1.05 x ; f ( x ) = x + 25 ; $488.25 
D)  t ( x ) = 0.05 x ; f ( x ) = x + 25 ; $487.00

Question 14

Find the vertex of the parabola and graph it.

Accepted Answer

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

Question 15

Find   for f ( x ) = - x 2 - 8.

Accepted Answer

A)  h + a 
B)  -8 
C)  -2 a - h 
D)  8 a 
E)  -2 a  2 - h 
A)  h + a 
B)  -8 
C)  -2 a - h 
D)  8 a 
E)  -2 a  2 - h

Question 16

Graph the function. f ( x ) = x 2 - 2 x - 1

Accepted Answer

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

Question 17

The area of a circle is numerically equal to 8 times the circumference of the circle. Find the length of a radius of the circle.

Accepted Answer

A)  16   
B)  17 
C)  16 
D)  15   
E)  8   
A)  16   
B)  17 
C)  16 
D)  15   
E)  8

Question 18

The graph below represents a function. Use the horizontal line test to decide whether the function is one-to-one. Answer yes or no .

Accepted Answer

The answer of The graph below represents a function. Use...

Use the factoring method to solve the equation.

Use the quadratic formula to find all real solutions of the equation.

Draw the graph using a translation of the graph of .

Determine for the pair of functions and .

Use the quadratic formula to find all real solutions of the equation.

Which of the following graphs accurately represents the equation? f ( x ) = -( x - 2)² - 4

Use the method of completing the square to solve the quadratic equation.

The distance (in feet) that an object will fall in seconds is given by the formula . How long will it take an object to fall 784 feet?

Find the inverse of the function and express it using notation.

Factor the trinomial square and use the square root method to solve the equation.

Solve the inequality.

Solve the equation and verify that the sum of the solutions is - and the product of the solutions is .

Find the vertex of the parabola and graph it.

Find for f ( x ) = - x ² - 8.

Graph the function. f ( x ) = x ² - 2 x - 1

The area of a circle is numerically equal to 8 times the circumference of the circle. Find the length of a radius of the circle.

The graph below represents a function. Use the horizontal line test to decide whether the function is one-to-one. Answer yes or no .

A Review of Basic Algebra

Graphs, Equations of Lines, and Functions

Systems of Linear Equations

Inequalities

Polynomials, Polynomial Functions, and Equations

Rational Expressions

Radical Expressions and Equations

Exponential and Logarithmic Functions

Conic Sections and More Graphing

Miscellaneous Topics

Filters

Exam 8: Quadratic Equations and Functions; Inequalities; and Algebra, Composition, and Inverses of Functions

Use the factoring method to solve the equation.

Use the quadratic formula to find all real solutions of the equation.

Draw the graph using a translation of the graph of .

Determine for the pair of functions and .

Use the quadratic formula to find all real solutions of the equation.

Which of the following graphs accurately represents the equation? f ( x ) = -( x - 2)2 - 4

Use the method of completing the square to solve the quadratic equation.

The distance (in feet) that an object will fall in seconds is given by the formula . How long will it take an object to fall 784 feet?

Find the inverse of the function and express it using notation.

Factor the trinomial square and use the square root method to solve the equation.

Solve the inequality.

Solve the equation and verify that the sum of the solutions is - and the product of the solutions is .

Find the vertex of the parabola and graph it.

Find for f ( x ) = - x 2 - 8.

Graph the function. f ( x ) = x 2 - 2 x - 1

The area of a circle is numerically equal to 8 times the circumference of the circle. Find the length of a radius of the circle.

The graph below represents a function. Use the horizontal line test to decide whether the function is one-to-one. Answer yes or no .

A Review of Basic Algebra

Graphs, Equations of Lines, and Functions

Systems of Linear Equations

Inequalities

Polynomials, Polynomial Functions, and Equations

Rational Expressions

Radical Expressions and Equations

Exponential and Logarithmic Functions

Conic Sections and More Graphing

Miscellaneous Topics

Filters

Which of the following graphs accurately represents the equation? f ( x ) = -( x - 2)² - 4

Find for f ( x ) = - x ² - 8.

Graph the function. f ( x ) = x ² - 2 x - 1