Question 1

Factor.
-

Accepted Answer

A)  (9x + 18)(x - 3) 
B)  9(x - 2)(x + 3) 
C)  9(x + 2)(x - 3) 
D)  Prime

Question 2

Factor completely.
-

Accepted Answer

A)   
B)  (y + 6)(y - 6) 
C)  (y - 6)(y - 6) 
D)  (y + 36)(y - 36)

Question 3

Solve the problem.
-If an object is thrown upward with an initial velocity of 80 ft/sec, its height after t sec is given by  Find the number of seconds before the object hits the ground.

Accepted Answer

A)  5 sec 
B)  40 sec 
C)  64 sec 
D)  2.5 sec

Question 4

Solve the problem.
-Within a group of n people, the number of possible handshakes, N, is given by  How many handshakes are possible at a meeting if 14 people are present?

Accepted Answer

A)  84 
B)  105 
C)  182 
D)  91

Question 5

Factor completely.
-

Accepted Answer

A)   
B)   
C)  Prime 
D)

Question 6

Factor.
- + 4z - 4

Accepted Answer

A)  (15z + 2)(z - 2) 
B)  Prime 
C)  (3z + 2)(5z - 2) 
D)  (3z - 2)(5z + 2)

Question 7

Solve the problem.
-A rectangular garden is three times as long as it is wide. If the area of the garden is 2700 ft2, find the length and width of the garden.

Accepted Answer

A)  length: 900 ft; width: 3 ft 
B)  length: 30 ft; width: 10 ft 
C)  length: 90 ft; width: 30 ft 
D)  length: 87 ft; width: 29 ft

Question 8

Solve using the principle of zero products.
-b(b + 11) = 0

Accepted Answer

A)  -11, 0 
B)  -1, -11 
C)  1, -11 
D)  11, 0

Question 9

Factor.
-245x2 + 350xy + 125y2

Accepted Answer

A)  5(49x2 + 70xy + 25y) 
B)  5(7x - 5y)(7x + 5y) 
C)  (35x + 25y)(7x + 5y) 
D)  5(7x + 5y)2

Question 10

Determine whether the following is a difference of squares.
-

Accepted Answer

A) True 
 B)False

Question 11

Factor completely.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 12

Factor.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 13

Solve.
-Use the following graph to solve

Accepted Answer

A)  2, 4 
B)  -4, -2 
C)  -2, 4 
D)  -4, 2

Question 14

Factor by grouping.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 15

Factor.
-

Accepted Answer

A)  2x(3x + 2)(x - 5) 
B)  x(3x + 2)(2x - 10) 
C)   
D)  2(3x - 2)(x + 5)

Question 16

Factor.
- + 0.2t - 0.24

Accepted Answer

A)  (t + 0.24)(t - 1) 
B)  (t + 0.6)(t - 0.4) 
C)  (t - 0.6)(t + 0.4) 
D)

Question 17

Factor.
-

Accepted Answer

A)   
B)   
C)   
D)  x + 37 x + 37 x

Question 18

Solve the problem.
-A lot is in the shape of a right triangle. The shorter leg measures 150 meters. The hypotenuse is 50 meters longer than the length of the longer leg. How long is the longer leg?

Accepted Answer

A)  250 meters 
B)  150 meters 
C)  300 meters 
D)  200 meters

Question 19

Factor.
- + 1.6y + 0.64

Accepted Answer

A)   
B)   
C)   
D)  y(y + 1.6)

Question 20

Factor using the ac-method.
-

Accepted Answer

A)   
B)   
C)  (5y - 4)(3y + 2) 
D)

Exam 6: Polynomials: Factoring

Factor. -

Factor completely. -

Solve the problem. -If an object is thrown upward with an initial velocity of 80 ft/sec, its height after t sec is given by Find the number of seconds before the object hits the ground.

Solve the problem. -Within a group of n people, the number of possible handshakes, N, is given by How many handshakes are possible at a meeting if 14 people are present?

Factor completely. -

Factor. - + 4z - 4

Solve the problem. -A rectangular garden is three times as long as it is wide. If the area of the garden is 2700 ft2, find the length and width of the garden.

Solve using the principle of zero products. -b(b + 11) = 0

Factor. -245x2 + 350xy + 125y2

Determine whether the following is a difference of squares. -

Factor completely. -

Factor. -

Solve. -Use the following graph to solve

Factor by grouping. -

Factor. -

Factor. - + 0.2t - 0.24

Factor. -

Solve the problem. -A lot is in the shape of a right triangle. The shorter leg measures 150 meters. The hypotenuse is 50 meters longer than the length of the longer leg. How long is the longer leg?

Factor. - + 1.6y + 0.64

Factor using the ac-method. -