Question 1

Factor by grouping.
-6z2 - 5z - 6

Accepted Answer

A)  ( 6z + 2)(z - 3) 
B)  ( 3z - 2)( 2z + 3) 
C)  ( 3z + 2)( 2z - 3) 
D)  Prime 
A)  ( 6z + 2)(z - 3) 
B)  ( 3z - 2)( 2z + 3) 
C)  ( 3z + 2)( 2z - 3) 
D)  Prime

Question 2

Factor the polynomial completely.
-  +64

Accepted Answer

A)  (t - 4)(   + 4t + 16) 
B)  (t - 64)(   - 1) 
C)  (t + 4)(   + 16) 
D)  (t + 4)(   - 4t + 16) 
A)  (t - 4)(   + 4t + 16) 
B)  (t - 64)(   - 1) 
C)  (t + 4)(   + 16) 
D)  (t + 4)(   - 4t + 16)

Question 3

Factor completely. If the polynomial is prime, say so.
-

Accepted Answer

A)    
B)  Prime 
C)    
D)  ( 5     + 2)( 5     - 2) 
A)    
B)  Prime 
C)    
D)  ( 5     + 2)( 5     - 2)

Question 4

Choose the one alternative that best completes the statement or answers the question.Solve the equation.
-81t3 - 36t = 0

Accepted Answer

A)  {0} 
B)    
C)    
D)    
A)  {0} 
B)    
C)    
D)

Question 5

Write the word or phrase that best completes each statement or answers the question. 
 
Provide an appropriate response.
-A student is told that there are two solutions to the problem   The student can only find one; that is,   How could you advise this student?

Accepted Answer

Zero is an

Question 6

Factor completely.
-5   + 40   + 35

Accepted Answer

A)    (   + 8x + 7) 
B)    (x + 1)( 5x + 35) 
C)  5   (x + 1)(x + 7) 
D)    ( 5x + 5)(x + 7) 
A)    (   + 8x + 7) 
B)    (x + 1)( 5x + 35) 
C)  5   (x + 1)(x + 7) 
D)    ( 5x + 5)(x + 7)

Question 7

Choose the one alternative that best completes the statement or answers the question.Solve the equation.
-( 4y + 11)( 4y + 11) = 0

Accepted Answer

A)    
B)  { 7, 7} 
C)    
D)    
A)    
B)  { 7, 7} 
C)    
D)

Question 8

Factor completely.
--4   + 37rt - 9

Accepted Answer

A)  -1( 4r - t)(r - 9t) 
B)  ( 4r - t)(r - 9t) 
C)  -1( 4r + t)(r - 9t) 
D)  -1( 4r + t)(r + 9t) 
A)  -1( 4r - t)(r - 9t) 
B)  ( 4r - t)(r - 9t) 
C)  -1( 4r + t)(r - 9t) 
D)  -1( 4r + t)(r + 9t)

Question 9

Complete the factoring.
-  - 35x = 5x( )

Accepted Answer

A)  7 -   
B)  - 7   
C)  7 - x 
D)  x - 7 
A)  7 -   
B)  - 7   
C)  7 - x 
D)  x - 7

Question 10

Solve the problem.
-A painter leans a ladder against one wall of a house. The ladder is 15 ft long. The base of the ladder is 12 ft from the house. How high is the wall? Round approximations to the nearest tenth.
     
12 ft

Accepted Answer

A)  13.5 ft 
B)  40.5 ft 
C)  9 ft 
D)  4.5 ft 
A)  13.5 ft 
B)  40.5 ft 
C)  9 ft 
D)  4.5 ft

Question 11

Factor completely. If the polynomial is prime, say so.
-25x2 - 16

Accepted Answer

A)  ( 5x + 4)2  
B)  ( 5x - 4)2  
C)  ( 5x + 4)( 5x - 4)  
D)  Prime 
A)  ( 5x + 4)2  
B)  ( 5x - 4)2  
C)  ( 5x + 4)( 5x - 4)  
D)  Prime

Question 12

Factor completely.
-6x2-18xy-24y2=6(_____)(_____)

Accepted Answer

A)  x + y, x - 4y 
B)  x - 6y, x + 4y 
C)  x - y, x + 4y 
D)  x + 6y, x - 4y 
A)  x + y, x - 4y 
B)  x - 6y, x + 4y 
C)  x - y, x + 4y 
D)  x + 6y, x - 4y

Question 13

Factor completely.
-x2- 1.6x + 0. 64

Accepted Answer

A)  (x + 0. 8)2 
B)  (x + 0. 8)(x - 0. 8) 
C)  (x - 0. 8)2 
D)  Prime 
A)  (x + 0. 8)2 
B)  (x + 0. 8)(x - 0. 8) 
C)  (x - 0. 8)2 
D)  Prime

Question 14

Find the greatest common factor of the numbers
-36, 32

Accepted Answer

A)  2 
B)  4 
C)  9 
D)  68 
A)  2 
B)  4 
C)  9 
D)  68

Question 15

Write the word or phrase that best completes each statement or answers the question. 
 
Provide an appropriate response.
-What steps would you take to factor   ?

Accepted Answer

Answers will vary. F

Question 16

Factor the binomial completely. If it is prime, say so.
-  - 256

Accepted Answer

A)  (   - 16)(x + 4)(x - 4) 
B)  (   + 16)(x + 4)(x - 4) 
C)      
D)  Prime 
A)  (   - 16)(x + 4)(x - 4) 
B)  (   + 16)(x + 4)(x - 4) 
C)      
D)  Prime

Question 17

Choose the one alternative that best completes the statement or answers the question.Solve the equation.
-x( 2x + 8) = 0

Accepted Answer

A)  {0, -4} 
B)    
C)  {0, 4} 
D)    
A)  {0, -4} 
B)    
C)  {0, 4} 
D)

Question 18

Factor the binomial completely. If it is prime, say so.
-25   -

Accepted Answer

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

Question 19

Find the greatest common factor of the terms.
-10   , 40   , 100

Accepted Answer

A)  400   
B)  10   
C)  10   
D)  40   
A)  400   
B)  10   
C)  10   
D)  40

Question 20

Solve the equation.
-x(x - 20) = -100

Accepted Answer

A)  { 10, -10} 
B)  {-10} 
C)  { 20} 
D)  { 10} 
A)  { 10, -10} 
B)  {-10} 
C)  { 20} 
D)  { 10}

Factor by grouping. -6z² - 5z - 6

Factor the polynomial completely. - +64

Factor completely. If the polynomial is prime, say so. -

Choose the one alternative that best completes the statement or answers the question.Solve the equation. -81t³ - 36t = 0

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -A student is told that there are two solutions to the problem The student can only find one; that is, How could you advise this student?

Factor completely. -5 + 40 + 35

Choose the one alternative that best completes the statement or answers the question.Solve the equation. -( 4y + 11)( 4y + 11) = 0

Factor completely. --4 + 37rt - 9

Complete the factoring. - - 35x = 5x( )

Solve the problem. -A painter leans a ladder against one wall of a house. The ladder is 15 ft long. The base of the ladder is 12 ft from the house. How high is the wall? Round approximations to the nearest tenth. 12 ft

Factor completely. If the polynomial is prime, say so. -25x² - 16

Factor completely. -6x²-18xy-24y²=6(_)(_)

Factor completely. -x²- 1.6x + 0. 64

Find the greatest common factor of the numbers -36, 32

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -What steps would you take to factor ?

Factor the binomial completely. If it is prime, say so. - - 256

Choose the one alternative that best completes the statement or answers the question.Solve the equation. -x( 2x + 8) = 0

Factor the binomial completely. If it is prime, say so. -25 -

Find the greatest common factor of the terms. -10 , 40 , 100

Solve the equation. -x(x - 20) = -100

The Real Number System

Linear Equations and Inequalities in One Variable

Linear Equations and Inequalities in Two Variables; Functions

Systems of Linear Equations and Inequalities

Exponents and Polynomials

Factoring and Applications

Roots and Radicals

Quadratic Equations

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Exam 7: Rational Expressions and Applications

Factor by grouping. -6z2 - 5z - 6