Question 1

Solve by completing the square.
-  + 8q - 3 = 0

Accepted Answer

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

Question 2

Without graphing, find the maximum value or minimum value.
-f(x) =   - 7

Accepted Answer

A)  7 
B)  -7 
C)  6 
D)  5 
A)  7 
B)  -7 
C)  6 
D)  5

Question 3

Graph.
-f(x) =   + 3x - 8

Accepted Answer

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

Question 4

Determine the nature of the solutions of the equation.
-

Accepted Answer

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

Question 5

Solve.
-A rug is to fit in a room so that a border of even width is left on all four sides. If the room is 13 feet by 21 feet and the area of the rug is 153 square feet, how wide will the border be?

Accepted Answer

A)  3 ft 
B)  2 ft 
C)  4.5 ft 
D)  4 ft 
A)  3 ft 
B)  2 ft 
C)  4.5 ft 
D)  4 ft

Question 6

Solve.
-

Accepted Answer

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

Question 7

Without graphing, find the line of symmetry.
-f(x) =   - 9

Accepted Answer

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

Question 8

Solve.
-

Accepted Answer

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

Question 9

Solve. Give exact solutions.
-  = -16

Accepted Answer

A)    
B)    
C)  4i 
D)  4i + 1 
A)    
B)    
C)  4i 
D)  4i + 1

Question 10

Solve. Give exact solutions.
-  + 12 = 0

Accepted Answer

A)    
B)  2i 
C)  2 
D)    
A)    
B)  2i 
C)  2 
D)

Question 11

Solve.
-  + 24r = - 17

Accepted Answer

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

Question 12

Find the x- and y-intercepts.
-f(x) =   - 2x - 2

Accepted Answer

A)    
B)  No x-intercepts, (0, 2) 
C)    
D)  No x-intercepts, (0, -2) 
A)    
B)  No x-intercepts, (0, 2) 
C)    
D)  No x-intercepts, (0, -2)

Question 13

Solve. Provide answers in interval notation.
-  - 2x - 24   0

Accepted Answer

A)    
B)    
C)    
D)  [-4, 6] 
A)    
B)    
C)    
D)  [-4, 6]

Question 14

Solve.
-

Accepted Answer

A)    
B)  5, - 1 
C)    
D)  - 5, 1 
A)    
B)  5, - 1 
C)    
D)  - 5, 1

Question 15

Find the quadratic function that fits the set of data points.
-(-3, 4), (6, 85), (1, 20)

Accepted Answer

A)    + 3x + 4 
B)    - 6x + 13 
C)    6x + 13 
D)    6x + 4 
A)    + 3x + 4 
B)    - 6x + 13 
C)    6x + 13 
D)    6x + 4

Question 16

Determine which of the following four functions might be used as a model for the data: linear: f(x) = mx + b; quadratic: f(x) =   bx + c, a > 0; quadratic: f(x) =   + bx + c, a < 0; polynomial, not quadratic or linear.
-

Accepted Answer

A) f(x) = mx + b B) + bx + c, a > 0 C) + bx + c, a < 0 D) Polynomial, not quadratic or linear A) f(x) = mx + b B) + bx + c, a > 0 C) + bx + c, a < 0 D) Polynomial, not quadratic or linear

Question 17

Determine whether there is a maximum or minimum value for the given function, and find that value.
-f(x) =   - 40x + 84

Accepted Answer

A)  minimum: 4 
B)  maximum: -4 
C)  maximum: 4 
D)  minimum: -4 
A)  minimum: 4 
B)  maximum: -4 
C)  maximum: 4 
D)  minimum: -4

Question 18

Solve. Round results to the nearest thousandth.
-  + 6y = -4

Accepted Answer

A)  -1.000, -2.000 
B)  -2.000, -4.000 
C)  2.000, 1.000 
D)  0.562, -3.562 
A)  -1.000, -2.000 
B)  -2.000, -4.000 
C)  2.000, 1.000 
D)  0.562, -3.562

Question 19

Solve. Provide answers in interval notation.
-(x + 3)(x - 6) < 0

Accepted Answer

A)    
B)  (-3, 6) 
C)    
D)    
A)    
B)  (-3, 6) 
C)    
D)

Question 20

Solve.
-

Accepted Answer

A)    
B)  2, 3 
C)    
D)    
A)    
B)  2, 3 
C)    
D)

Solve by completing the square. - + 8q - 3 = 0

Without graphing, find the maximum value or minimum value. -f(x) = - 7

Graph. -f(x) = + 3x - 8

Determine the nature of the solutions of the equation. -

Solve. -A rug is to fit in a room so that a border of even width is left on all four sides. If the room is 13 feet by 21 feet and the area of the rug is 153 square feet, how wide will the border be?

Solve. -

Without graphing, find the line of symmetry. -f(x) = - 9

Solve. -

Solve. Give exact solutions. - = -16

Solve. Give exact solutions. - + 12 = 0

Solve. - + 24r = - 17

Find the x- and y-intercepts. -f(x) = - 2x - 2

Solve. Provide answers in interval notation. - - 2x - 24 0

Solve. -

Find the quadratic function that fits the set of data points. -(-3, 4), (6, 85), (1, 20)

Determine which of the following four functions might be used as a model for the data: linear: f(x) = mx + b; quadratic: f(x) = bx + c, a > 0; quadratic: f(x) = + bx + c, a < 0; polynomial, not quadratic or linear. -

Determine whether there is a maximum or minimum value for the given function, and find that value. -f(x) = - 40x + 84

Solve. Round results to the nearest thousandth. - + 6y = -4

Solve. Provide answers in interval notation. -(x + 3)(x - 6) < 0

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

Exam 12: Quadratic Equations and Functions

Solve by completing the square. - + 8q - 3 = 0

Without graphing, find the maximum value or minimum value. -f(x) = - 7

Graph. -f(x) = + 3x - 8

Determine the nature of the solutions of the equation. -

Solve. -A rug is to fit in a room so that a border of even width is left on all four sides. If the room is 13 feet by 21 feet and the area of the rug is 153 square feet, how wide will the border be?

Solve. -

Without graphing, find the line of symmetry. -f(x) = - 9

Solve. -

Solve. Give exact solutions. - = -16

Solve. Give exact solutions. - + 12 = 0

Solve. - + 24r = - 17

Find the x- and y-intercepts. -f(x) = - 2x - 2

Solve. Provide answers in interval notation. - - 2x - 24 0

Solve. -

Find the quadratic function that fits the set of data points. -(-3, 4), (6, 85), (1, 20)

Determine which of the following four functions might be used as a model for the data: linear: f(x) = mx + b; quadratic: f(x) = bx + c, a > 0; quadratic: f(x) = + bx + c, a < 0; polynomial, not quadratic or linear. -

Determine whether there is a maximum or minimum value for the given function, and find that value. -f(x) = - 40x + 84

Solve. Round results to the nearest thousandth. - + 6y = -4

Solve. Provide answers in interval notation. -(x + 3)(x - 6) < 0

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