Question 1

Write an equation that has the given solutions.
--8, -2

Accepted Answer

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

Question 2

Solve the equation by the quadratic formula.
-  + 3x - 108 = 0

Accepted Answer

A)  -12, 1 
B)  -9, 12 
C)  12, 9 
D)  -12, 9 
A)  -12, 1 
B)  -9, 12 
C)  12, 9 
D)  -12, 9

Question 3

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 4

Solve the equation.
-

Accepted Answer

A)  8 
B)  12 
C)  16 
D)  32 
A)  8 
B)  12 
C)  16 
D)  32

Question 5

Solve the equation by the quadratic formula.
-  = -8x - 7

Accepted Answer

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

Question 6

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 7

Solve the problem.
-A 20-foot pole is supported by two wires that extend from the top of the pole to points that are each 15 feet from the base of the pole. Find the total length of the two wires.

Accepted Answer

A)  25 ft 
B)  70 ft 
C)  50 ft 
D)  1250 ft 
A)  25 ft 
B)  70 ft 
C)  50 ft 
D)  1250 ft

Question 8

Determine which of the graphs is the graph of the equation.
-

Accepted Answer

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

Question 9

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

Accepted Answer

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

Question 10

Solve the problem.
-An arrow is fired into the air with an initial velocity of 96 feet per second. The height in feet of the arrow t seconds after it was shot into the air is given by the function   Find the maximum height of the
Arrow.

Accepted Answer

A)  144 ft 
B)  432 ft 
C)  48 ft 
D)  240 ft 
A)  144 ft 
B)  432 ft 
C)  48 ft 
D)  240 ft

Question 11

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

Accepted Answer

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

Question 12

Solve the problem.
-One pump can drain a pool in 4 minutes. When a second pump is also used, the pool only takes 3 minutes to drain. How long would it take the second pump to drain the pool if it were the only pump in use?

Accepted Answer

A)    
B)  11 minutes 
C)  12 minutes 
D)    
A)    
B)  11 minutes 
C)  12 minutes 
D)

Question 13

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

Accepted Answer

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

Question 14

Solve the equation.
-

Accepted Answer

A)  -1, -2, 3, 8, 3, 4 
B)  -1, -2, 3, 4 
C)  3, 8 
D)  3, 4 
A)  -1, -2, 3, 8, 3, 4 
B)  -1, -2, 3, 4 
C)  3, 8 
D)  3, 4

Question 15

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

Question 16

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

Accepted Answer

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

Question 17

Solve the equation by the quadratic formula.
-

Accepted Answer

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

Question 18

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 19

Factor the trinomial completely.
-

Accepted Answer

A)  (2x + 2)(3x + 2) 
B)  (2x - 6)(3x - 4) 
C)  (2x + 4)(3x + 4) 
D)  (2x + 6)(3x + 8) 
A)  (2x + 2)(3x + 2) 
B)  (2x - 6)(3x - 4) 
C)  (2x + 4)(3x + 4) 
D)  (2x + 6)(3x + 8)

Question 20

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)

Write an equation that has the given solutions. --8, -2

Solve the equation by the quadratic formula. - + 3x - 108 = 0

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

Solve the equation. -

Solve the equation by the quadratic formula. - = -8x - 7

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. -A 20-foot pole is supported by two wires that extend from the top of the pole to points that are each 15 feet from the base of the pole. Find the total length of the two wires.

Determine which of the graphs is the graph of the equation. -

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

Solve the problem. -An arrow is fired into the air with an initial velocity of 96 feet per second. The height in feet of the arrow t seconds after it was shot into the air is given by the function Find the maximum height of the Arrow.

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

Solve the problem. -One pump can drain a pool in 4 minutes. When a second pump is also used, the pool only takes 3 minutes to drain. How long would it take the second pump to drain the pool if it were the only pump in use?

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

Solve the equation. -

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

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

Solve the equation by the quadratic formula. -

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

Factor the trinomial completely. -

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

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. --8, -2

Solve the equation by the quadratic formula. - + 3x - 108 = 0

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

Solve the equation. -

Solve the equation by the quadratic formula. - = -8x - 7

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. -A 20-foot pole is supported by two wires that extend from the top of the pole to points that are each 15 feet from the base of the pole. Find the total length of the two wires.

Determine which of the graphs is the graph of the equation. -

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

Solve the problem. -An arrow is fired into the air with an initial velocity of 96 feet per second. The height in feet of the arrow t seconds after it was shot into the air is given by the function Find the maximum height of the Arrow.

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

Solve the problem. -One pump can drain a pool in 4 minutes. When a second pump is also used, the pool only takes 3 minutes to drain. How long would it take the second pump to drain the pool if it were the only pump in use?

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

Solve the equation. -

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

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

Solve the equation by the quadratic formula. -

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

Factor the trinomial completely. -

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

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