Question 1

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 2

Find all x-intercepts of the function.
-

Accepted Answer

A)    
B)  (9, 0), (49, 0) 
C)    
D)  (3, 0), (7, 0) 
A)    
B)  (9, 0), (49, 0) 
C)    
D)  (3, 0), (7, 0)

Question 3

Find all x-intercepts of the function.
-

Accepted Answer

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

Question 4

Factor the trinomial completely.
-

Accepted Answer

A)  (xy - 2)(5xy + 1) 
B)  y(x + 1)(5xy - 2) 
C)  (xy + 1)(5xy - 2) 
D)  y(x - 1)(5xy - 2) 
A)  (xy - 2)(5xy + 1) 
B)  y(x + 1)(5xy - 2) 
C)  (xy + 1)(5xy - 2) 
D)  y(x - 1)(5xy - 2)

Question 5

Solve the inequality and graph the solution on a number line.
-

Accepted Answer

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

Question 6

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 7

Solve the equation by completing the square.
-

Accepted Answer

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

Question 8

Solve the problem.
-The formula   models the approximate population P, in thousands, for a species of fish in a local pond, x years after 1997. During what year will the population reach 34.514 thousand fish?

Accepted Answer

A)  2003 
B)  2006 
C)  2004 
D)  2005 
A)  2003 
B)  2006 
C)  2004 
D)  2005

Question 9

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)

Question 10

Solve the problem.
-Mahvash inherited $20,000 and invested it in a mutual fund for two years. At the end of the two years, her investment had grown to $22,472. Find the annual interest rate that would yield this amount of money, if the
Interest is compounded annually. Use the formula,

Accepted Answer

A)  6% 
B)  0.6% 
C)  60% 
D)  0.06% 
A)  6% 
B)  0.6% 
C)  60% 
D)  0.06%

Question 11

Solve the equation.
-

Accepted Answer

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

Question 12

For the function provided, find all values of x for which f(x) satisfies the indicated condition. Graph the solution on a
number line.
-

Accepted Answer

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

Question 13

Solve the equation by completing the square.
-

Accepted Answer

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

Question 14

For the function provided, find all values of x for which f(x) satisfies the indicated condition. Graph the solution on a
number line.
-

Accepted Answer

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

Question 15

Solve the problem.
-The cost in millions of dollars for a company to manufacture x thousand automobiles is given by the function C(x) = 4x2 - 16x + 32. Find the number of automobiles that must be produced to minimize the cost.

Accepted Answer

A)  16 thousand automobiles 
B)  4 thousand automobiles 
C)  2 thousand automobiles 
D)  8 thousand automobiles 
A)  16 thousand automobiles 
B)  4 thousand automobiles 
C)  2 thousand automobiles 
D)  8 thousand automobiles

Question 16

Factor the trinomial completely.
-

Accepted Answer

A)    
B)    
C)  (n + 9)(n - 7)(n - 2) 
D)  (n + 9)(n - 1)(n + 14) 
A)    
B)    
C)  (n + 9)(n - 7)(n - 2) 
D)  (n + 9)(n - 1)(n + 14)

Question 17

Find the vertex and axis of symmetry of the graph of the function.
-

Accepted Answer

A)  vertex: (-1, -5); x = -1 
B)  vertex: (-1, 3); x = -1 
C)  vertex: (1, 7); x = 1 
D)  vertex: (1, 3); x = 1 
A)  vertex: (-1, -5); x = -1 
B)  vertex: (-1, 3); x = -1 
C)  vertex: (1, 7); x = 1 
D)  vertex: (1, 3); x = 1

Question 18

Solve the problem.
-Shelly can cut a lawn with a riding mower in 4 hours less time than it takes William to cut the lawn with a push mower. If they can cut the lawn in 4 hours working together find how long to the nearest tenth of an hour it
Takes for William to cut the lawn alone. Round to the nearest tenth of an hour.

Accepted Answer

A)  10.6 hours 
B)  6.5 hours 
C)  6.6 hours 
D)  10.5 hours 
A)  10.6 hours 
B)  6.5 hours 
C)  6.6 hours 
D)  10.5 hours

Question 19

Solve the problem.
-Scot and Elizabeth recently built a rectangular garden measuring 40 feet by 50 feet. They want to add a paverstone walkway of uniform width around all sides of the garden. How wide can they make the walkway if
They purchased enough stones to cover 576 square feet?

Accepted Answer

A)  6 ft 
B)  3 ft 
C)  48 ft 
D)  89 ft 
A)  6 ft 
B)  3 ft 
C)  48 ft 
D)  89 ft

Question 20

Solve the equation by the quadratic formula.
-

Accepted Answer

A)    
B)    
C)  -2, 5 
D)    
A)    
B)    
C)  -2, 5 
D)

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

Find all x-intercepts of the function. -

Find all x-intercepts of the function. -

Factor the trinomial completely. -

Solve the inequality and graph the solution on a number line. -

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

Solve the equation by completing the square. -

Solve the problem. -The formula models the approximate population P, in thousands, for a species of fish in a local pond, x years after 1997. During what year will the population reach 34.514 thousand fish?

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

Solve the problem. -Mahvash inherited $20,000 and invested it in a mutual fund for two years. At the end of the two years, her investment had grown to $22,472. Find the annual interest rate that would yield this amount of money, if the Interest is compounded annually. Use the formula,

Solve the equation. -

For the function provided, find all values of x for which f(x) satisfies the indicated condition. Graph the solution on a number line. -

Solve the equation by completing the square. -

For the function provided, find all values of x for which f(x) satisfies the indicated condition. Graph the solution on a number line. -

Solve the problem. -The cost in millions of dollars for a company to manufacture x thousand automobiles is given by the function C(x) = 4x2 - 16x + 32. Find the number of automobiles that must be produced to minimize the cost.

Factor the trinomial completely. -

Find the vertex and axis of symmetry of the graph of the function. -

Solve the problem. -Scot and Elizabeth recently built a rectangular garden measuring 40 feet by 50 feet. They want to add a paverstone walkway of uniform width around all sides of the garden. How wide can they make the walkway if They purchased enough stones to cover 576 square feet?

Solve the equation by the quadratic formula. -

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

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

Find all x-intercepts of the function. -

Find all x-intercepts of the function. -

Factor the trinomial completely. -

Solve the inequality and graph the solution on a number line. -

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

Solve the equation by completing the square. -

Solve the problem. -The formula models the approximate population P, in thousands, for a species of fish in a local pond, x years after 1997. During what year will the population reach 34.514 thousand fish?

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

Solve the problem. -Mahvash inherited $20,000 and invested it in a mutual fund for two years. At the end of the two years, her investment had grown to $22,472. Find the annual interest rate that would yield this amount of money, if the Interest is compounded annually. Use the formula,

Solve the equation. -

For the function provided, find all values of x for which f(x) satisfies the indicated condition. Graph the solution on a number line. -

Solve the equation by completing the square. -

For the function provided, find all values of x for which f(x) satisfies the indicated condition. Graph the solution on a number line. -

Solve the problem. -The cost in millions of dollars for a company to manufacture x thousand automobiles is given by the function C(x) = 4x2 - 16x + 32. Find the number of automobiles that must be produced to minimize the cost.

Factor the trinomial completely. -

Find the vertex and axis of symmetry of the graph of the function. -

Solve the problem. -Scot and Elizabeth recently built a rectangular garden measuring 40 feet by 50 feet. They want to add a paverstone walkway of uniform width around all sides of the garden. How wide can they make the walkway if They purchased enough stones to cover 576 square feet?

Solve the equation by the quadratic formula. -

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