Question 1

Solve.
-

Accepted Answer

A)  0, - 3 
B)  0, - 6 
C)  -1, 2 
D)  1, -2

Question 2

Solve. Give exact solutions.
- - 12x + 36 = 9

Accepted Answer

A)  15 
B)  9, 3 
C)  3, -9 
D)  3, -3

Question 3

Solve. Provide answers in interval notation.
-(x - 9)(x - 10)(x + 2) < 0

Accepted Answer

A)   
B)   
C)   
D)

Question 4

Write the word or phrase that best completes each statement or answers the question.Provide an appropriate response.
-Explain in your own words a sequence of steps that can be used to solve any quadratic equation in the most
efficient way.

Accepted Answer

The answer of Write the word or phrase that best...

Question 5

Solve. Provide answers in interval notation.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 6

Find the x-intercepts.
-f(x) = 3x + x(x - 5)

Accepted Answer

A)  (0, 0) and (2, 0) 
B)  (-2, 0) 
C)  (0, 0) and (-2, 0) 
D)  (2, 0)

Question 7

Solve.
-The area of a square is 81 square centimeters. If the same amount is added to one dimension and removed from the other, the resulting rectangle has an area 9 square centimeters less than the area of the square. How much is
Added and subtracted?

Accepted Answer

A)  9 cm 
B)  4 cm 
C)  12 cm 
D)  3 cm

Question 8

Solve. Give exact solutions.
-(p - 9)2 = 17

Accepted Answer

A)   
B)   
C)   
D)

Question 9

Solve. Give exact solutions.
- = 24

Accepted Answer

A)   
B)   
C)   
D)

Question 10

Determine the nature of the solutions of the equation.
- - 2v - 4 = 0

Accepted Answer

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

Question 11

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

Accepted Answer

A)   
B)   
C)   
D)

Question 12

Solve the equation by completing the square.
- + 61d + 30 = 0

Accepted Answer

A)   
B)   
C)   
D)

Question 13

Solve.
-A rectangular garden has dimensions of 23 feet by 20 feet. A gravel path of equal width is to be built around the garden. How wide can the path be if there is enough gravel for 294 square feet?

Accepted Answer

A)  5.5 ft 
B)  4 ft 
C)  5 ft 
D)  3 ft

Question 14

Solve.
-What is the maximum product of two positive numbers whose sum is 32?

Accepted Answer

A)  256 
B)  8 
C)  512 
D)  16

Question 15

Solve the formula for the indicated letter. Assume that all variables represent nonnegative numbers.
- = 2as for v

Accepted Answer

A)   
B)   
C)   
D)

Question 16

Solve.
- + 48m + 11 = 0

Accepted Answer

A)   
B)   
C)   
D)

Question 17

Without graphing, find the line of symmetry.
-f(x) =  - 2

Accepted Answer

A)  x = 10 
B)  x = 8 
C)  x = -9 
D)  x = -2

Question 18

Solve. Give exact solutions.
- - 11 = -123

Accepted Answer

A)  -61.5 
B)   
C)  4 
D)

Question 19

Solve.
-

Accepted Answer

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

Question 20

Solve.
-A ladder is resting against a wall. The top of the ladder touches the wall at a height of 6 ft. Find the length of the ladder if the length is 2 ft more than its distance from the wall.

Accepted Answer

A)  10 ft 
B)  6 ft 
C)  12 ft 
D)  8 ft

Exam 12: Quadratic Equations and Functions

Solve. -

Solve. Give exact solutions. - - 12x + 36 = 9

Solve. Provide answers in interval notation. -(x - 9) (x - 10) (x + 2) < 0

Write the word or phrase that best completes each statement or answers the question.Provide an appropriate response. -Explain in your own words a sequence of steps that can be used to solve any quadratic equation in the most efficient way.

Solve. Provide answers in interval notation. -

Find the x-intercepts. -f(x) = 3x + x(x - 5)

Solve. -The area of a square is 81 square centimeters. If the same amount is added to one dimension and removed from the other, the resulting rectangle has an area 9 square centimeters less than the area of the square. How much is Added and subtracted?

Solve. Give exact solutions. -(p - 9) 2 = 17

Solve. Give exact solutions. - = 24

Determine the nature of the solutions of the equation. - - 2v - 4 = 0

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

Solve the equation by completing the square. - + 61d + 30 = 0

Solve. -A rectangular garden has dimensions of 23 feet by 20 feet. A gravel path of equal width is to be built around the garden. How wide can the path be if there is enough gravel for 294 square feet?

Solve. -What is the maximum product of two positive numbers whose sum is 32?

Solve the formula for the indicated letter. Assume that all variables represent nonnegative numbers. - = 2as for v

Solve. - + 48m + 11 = 0

Without graphing, find the line of symmetry. -f(x) = - 2

Solve. Give exact solutions. - - 11 = -123

Solve. -

Solve. -A ladder is resting against a wall. The top of the ladder touches the wall at a height of 6 ft. Find the length of the ladder if the length is 2 ft more than its distance from the wall.