Question 1

Write an equation that has the given solutions.
-2, 9

Accepted Answer

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

Question 2

Use the square root property to solve the equation.
-

Accepted Answer

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

Question 3

Solve the problem.
-The revenue for a small company is given by the quadratic function   where t is the number of years since 1998 and r(t) is in thousands of dollars. If this trend continues, find the year after 1998 in which
The company's revenue will be $696 thousand. Round to the nearest whole year.

Accepted Answer

A)  2006 
B)  2002 
C)  2003 
D)  2004 
A)  2006 
B)  2002 
C)  2003 
D)  2004

Question 4

Factor the trinomial completely.
-

Accepted Answer

A)  (4a + 4)(3a + 5) 
B)  (4a + 13)(3a + 11) 
C)  (4a + 1)(3a + 2) 
D)  (4a + 14)(3a + 10) 
A)  (4a + 4)(3a + 5) 
B)  (4a + 13)(3a + 11) 
C)  (4a + 1)(3a + 2) 
D)  (4a + 14)(3a + 10)

Question 5

Provide an appropriate response.
-A perfect square trinomial is a trinomial that can be expressed as the square of a .

Accepted Answer

A)  binomial 
B)  quadratic 
C)  constant 
D)  monomial 
A)  binomial 
B)  quadratic 
C)  constant 
D)  monomial

Question 6

Solve the inequality and graph the solution real number line.
-

Accepted Answer

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

Question 7

Factor the trinomial completely.
-

Accepted Answer

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

Question 8

Use the discriminant to determine whether the equation has two distinct real solutions, a single real solution, or no real
solution.
-

Accepted Answer

A)  one real solution 
B)  no real solution 
C)  two real solutions 
A)  one real solution 
B)  no real solution 
C)  two real solutions

Question 9

Solve the inequality and give the solution set in set builder notation.
-x x -+ 8 9 > 0

Accepted Answer

A)  {x x  8} 
C)  {x -9  8} 
A)  {x x  8} 
C)  {x -9  8}

Question 10

Solve the problem.
-The formula N = 4x2 + 6x + 1 represents the number of households N, in thousands, in a certain city that have a computer x years after 1990. According to the formula, in what year were there 131 thousand households with
Computers in this city?

Accepted Answer

A)  1993 
B)  1995 
C)  1996 
D)  1994 
A)  1993 
B)  1995 
C)  1996 
D)  1994

Question 11

Write an equation that has the given solutions.
-

Accepted Answer

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

Question 12

Solve the equation by completing the square.
-  - 5x + 1 = 0

Accepted Answer

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

Question 13

Solve the problem.
-A ladder that is 15 feet long is 9 feet from the base of a wall. How far up the wall does the ladder reach?

Accepted Answer

A)    
B)    
C)  12 ft 
D)  144 ft 
A)    
B)    
C)  12 ft 
D)  144 ft

Question 14

Use the square root property to solve the equation.
-

Accepted Answer

A)  325 
B)    
C)    
D)  9 
A)  325 
B)    
C)    
D)  9

Question 15

Solve the inequality and give the solution in interval notation.
-

Accepted Answer

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

Question 16

Write an equation that has the given solutions.
-

Accepted Answer

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

Question 17

Express the function in the form f(x) = a(x - h)2 + k and indicate the vertex.
-

Accepted Answer

A)  f(x) = -(x + 14)2 + 3 
B)    vertex: (-14, 3) 
C)    
D)    
A)  f(x) = -(x + 14)2 + 3 
B)    vertex: (-14, 3) 
C)    
D)

Question 18

Solve the equation by the quadratic formula.
-

Accepted Answer

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

Question 19

Graph the function. Identify the vertex, x-intercepts, and the equation for the axis of symmetry.
-

Accepted Answer

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

Question 20

Solve for the indicated variable. Assume the variable you are solving for must be greater than 0.
-

Accepted Answer

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

Write an equation that has the given solutions. -2, 9

Use the square root property to solve the equation. -

Factor the trinomial completely. -

Provide an appropriate response. -A perfect square trinomial is a trinomial that can be expressed as the square of a .

Solve the inequality and graph the solution real number line. -

Factor the trinomial completely. -

Use the discriminant to determine whether the equation has two distinct real solutions, a single real solution, or no real solution. -

Solve the inequality and give the solution set in set builder notation. -x x -+ 8 9 > 0

Solve the problem. -The formula N = 4x2 + 6x + 1 represents the number of households N, in thousands, in a certain city that have a computer x years after 1990. According to the formula, in what year were there 131 thousand households with Computers in this city?

Write an equation that has the given solutions. -

Solve the equation by completing the square. - - 5x + 1 = 0

Solve the problem. -A ladder that is 15 feet long is 9 feet from the base of a wall. How far up the wall does the ladder reach?

Use the square root property to solve the equation. -

Solve the inequality and give the solution in interval notation. -

Write an equation that has the given solutions. -

Express the function in the form f(x) = a(x - h)2 + k and indicate the vertex. -

Solve the equation by the quadratic formula. -

Graph the function. Identify the vertex, x-intercepts, and the equation for the axis of symmetry. -

Solve for the indicated variable. Assume the variable you are solving for must be greater than 0. -

Real Numbers

Solving Linear Equations and Inequalities

Applications of Algebra

Graphing Linear Equations

Exponents and Polynomials

Factoring

Rational Expressions and Equations

Functions and Their Graphs

Systems of Linear Equations

Inequalities in One and Two Variables

Roots, Radicals, and Complex Numbers

Exponential and Logarithmic Functions

Conic Sections

Sequences, Series, and the Binomial Theorem

Appendix Review of Decimals and Percent

Filters

Exam 12: Quadratic Functions

Write an equation that has the given solutions. -2, 9

Use the square root property to solve the equation. -

Factor the trinomial completely. -

Provide an appropriate response. -A perfect square trinomial is a trinomial that can be expressed as the square of a .

Solve the inequality and graph the solution real number line. -

Factor the trinomial completely. -

Use the discriminant to determine whether the equation has two distinct real solutions, a single real solution, or no real solution. -

Solve the inequality and give the solution set in set builder notation. -x x -+ 8 9 > 0

Solve the problem. -The formula N = 4x2 + 6x + 1 represents the number of households N, in thousands, in a certain city that have a computer x years after 1990. According to the formula, in what year were there 131 thousand households with Computers in this city?

Write an equation that has the given solutions. -

Solve the equation by completing the square. - - 5x + 1 = 0

Solve the problem. -A ladder that is 15 feet long is 9 feet from the base of a wall. How far up the wall does the ladder reach?

Use the square root property to solve the equation. -

Solve the inequality and give the solution in interval notation. -

Write an equation that has the given solutions. -

Express the function in the form f(x) = a(x - h)2 + k and indicate the vertex. -

Solve the equation by the quadratic formula. -

Graph the function. Identify the vertex, x-intercepts, and the equation for the axis of symmetry. -

Solve for the indicated variable. Assume the variable you are solving for must be greater than 0. -

Real Numbers

Solving Linear Equations and Inequalities

Applications of Algebra

Graphing Linear Equations

Exponents and Polynomials

Factoring

Rational Expressions and Equations

Functions and Their Graphs

Systems of Linear Equations

Inequalities in One and Two Variables

Roots, Radicals, and Complex Numbers

Exponential and Logarithmic Functions

Conic Sections

Sequences, Series, and the Binomial Theorem

Appendix Review of Decimals and Percent

Filters