Question 1

Write a quadratic equation having the given numbers as solutions.
-

Accepted Answer

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

Question 2

Solve the formula for the indicated letter. Assume that all variables represent nonnegative numbers.
-  + bS = c, for S

Accepted Answer

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

Question 3

Solve.
-

Accepted Answer

A)  15 
B)    
C)  No solution 
D)    
A)  15 
B)    
C)  No solution 
D)

Question 4

Graph.
-

Accepted Answer

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

Question 5

Solve the equation by completing the square.
-  - 14x + 74 = 0

Accepted Answer

A)    
B)    
C)    
D)  12, 2 
A)    
B)    
C)    
D)  12, 2

Question 6

Graph.
-f(x) =   - 2x - 6

Accepted Answer

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

Question 7

Solve.
-What is the minimum product of two numbers whose difference is 90?

Accepted Answer

A)  -4050 
B)  -22.5 
C)  -45 
D)  -2025 
A)  -4050 
B)  -22.5 
C)  -45 
D)  -2025

Question 8

Find the line of symmetry.
-f(x) = x   - 18x + 81

Accepted Answer

A)  x = -9 
B)  x = 9 
C)  x = -2 
D)  x = 2 
A)  x = -9 
B)  x = 9 
C)  x = -2 
D)  x = 2

Question 9

Write a quadratic equation having the given numbers as solutions.
-

Accepted Answer

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

Question 10

Determine the nature of the solutions of the equation.
-

Accepted Answer

A)  Two real 
B)  One real 
C)  Two nonreal 
A)  Two real 
B)  One real 
C)  Two nonreal

Question 11

Find the vertex.
-f(x) =   - 24x + 80

Accepted Answer

A)  (6, 0) 
B)  (8, 0) 
C)  (6, 8) 
D)  (8, 6) 
A)  (6, 0) 
B)  (8, 0) 
C)  (6, 8) 
D)  (8, 6)

Question 12

Without graphing, find the line of symmetry.
-f(x) =    + 8

Accepted Answer

A)  x = 6 
B)  x = 25 
C)  x = -5 
D)  x = 8 
A)  x = 6 
B)  x = 25 
C)  x = -5 
D)  x = 8

Question 13

Solve the equation by completing the square.
-  + 10z + 12 = 0

Accepted Answer

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

Question 14

Without graphing, find the vertex.
-f(x) =   - 9

Accepted Answer

A)  (-9, 4) 
B)  (-4, -9) 
C)  (4, 4) 
D)  (4, -9) 
A)  (-9, 4) 
B)  (-4, -9) 
C)  (4, 4) 
D)  (4, -9)

Question 15

Find the line of symmetry.
-f(x) =   - 36x + 170

Accepted Answer

A)  x = -9 
B)  x = -8 
C)  x = 8 
D)  x = 9 
A)  x = -9 
B)  x = -8 
C)  x = 8 
D)  x = 9

Question 16

Solve.
-  + 6x = - 1

Accepted Answer

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

Question 17

Find the line of symmetry.
-f(x) =   + 20x + 52

Accepted Answer

A)  x = -5 
B)  x = 5 
C)  x = -2 
D)  x = 2 
A)  x = -5 
B)  x = 5 
C)  x = -2 
D)  x = 2

Question 18

Solve. Give exact solutions.
-  = 44

Accepted Answer

A)  12 
B)  22 
C)    
D)    
A)  12 
B)  22 
C)    
D)

Question 19

Solve.
-The number of mosquitoes M(x), in millions, in a certain area depends on the June rainfall x, in inches: M(x) =   What rainfall produces the maximum number of mosquitoes?

Accepted Answer

A)  5.5 inches 
B)  11 inches 
C)  0 inches 
D)  121 inches 
A)  5.5 inches 
B)  11 inches 
C)  0 inches 
D)  121 inches

Question 20

Solve.
-

Accepted Answer

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

Write a quadratic equation having the given numbers as solutions. -

Solve the formula for the indicated letter. Assume that all variables represent nonnegative numbers. - + bS = c, for S

Solve. -

Graph. -

Solve the equation by completing the square. - - 14x + 74 = 0

Graph. -f(x) = - 2x - 6

Solve. -What is the minimum product of two numbers whose difference is 90?

Find the line of symmetry. -f(x) = x - 18x + 81

Write a quadratic equation having the given numbers as solutions. -

Determine the nature of the solutions of the equation. -

Find the vertex. -f(x) = - 24x + 80

Without graphing, find the line of symmetry. -f(x) = + 8

Solve the equation by completing the square. - + 10z + 12 = 0

Without graphing, find the vertex. -f(x) = - 9

Find the line of symmetry. -f(x) = - 36x + 170

Solve. - + 6x = - 1

Find the line of symmetry. -f(x) = + 20x + 52

Solve. Give exact solutions. - = 44

Solve. -The number of mosquitoes M(x), in millions, in a certain area depends on the June rainfall x, in inches: M(x) = What rainfall produces the maximum number of mosquitoes?

Solve. -

Introduction

Introduction to Real Numbers and Algebraic Expressions

Solving Equations and Inequalities

Graphs of Linear Equations

Polynomials: Operations

Polynomials: Factoring

Rational Expressions and Equations

Graphs, Functions, and Applications

Systems of Equations

More on Inequalities

Radical Expressions, Equations, and Functions

Exponential Functions and Logarithmic Functions

Calculating Means and Medians of Data Sets

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Exam 12: Quadratic Equations and Functions

Write a quadratic equation having the given numbers as solutions. -

Solve the formula for the indicated letter. Assume that all variables represent nonnegative numbers. - + bS = c, for S

Solve. -

Graph. -

Solve the equation by completing the square. - - 14x + 74 = 0

Graph. -f(x) = - 2x - 6

Solve. -What is the minimum product of two numbers whose difference is 90?

Find the line of symmetry. -f(x) = x - 18x + 81

Write a quadratic equation having the given numbers as solutions. -

Determine the nature of the solutions of the equation. -

Find the vertex. -f(x) = - 24x + 80

Without graphing, find the line of symmetry. -f(x) = + 8

Solve the equation by completing the square. - + 10z + 12 = 0

Without graphing, find the vertex. -f(x) = - 9

Find the line of symmetry. -f(x) = - 36x + 170

Solve. - + 6x = - 1

Find the line of symmetry. -f(x) = + 20x + 52

Solve. Give exact solutions. - = 44

Solve. -The number of mosquitoes M(x), in millions, in a certain area depends on the June rainfall x, in inches: M(x) = What rainfall produces the maximum number of mosquitoes?

Solve. -

Introduction

Introduction to Real Numbers and Algebraic Expressions

Solving Equations and Inequalities

Graphs of Linear Equations

Polynomials: Operations

Polynomials: Factoring

Rational Expressions and Equations

Graphs, Functions, and Applications

Systems of Equations

More on Inequalities

Radical Expressions, Equations, and Functions

Exponential Functions and Logarithmic Functions

Calculating Means and Medians of Data Sets

Filters