Question 1

Factor by grouping.
-15a3 + 12a2b - 25ab2 - 20b3

Accepted Answer

A)  ( 3a2 - 5b)( 5a + 4b) 
B)  ( 15a2 - 5b2)(a + 4b) 
C)  ( 3a2 + 5b2)( 5a - 4b) 
D)  ( 3a2 - 5b2)( 5a + 4b) 
A)  ( 3a2 - 5b)( 5a + 4b) 
B)  ( 15a2 - 5b2)(a + 4b) 
C)  ( 3a2 + 5b2)( 5a - 4b) 
D)  ( 3a2 - 5b2)( 5a + 4b)

Question 2

Solve the problem.
-The length of a rectangular frame is 5 cm more than the width. The area inside the frame is 126 square cm. Find the width of the frame.

Accepted Answer

A)  19 cm 
B)  11 cm 
C)  14 cm 
D)  9 cm 
A)  19 cm 
B)  11 cm 
C)  14 cm 
D)  9 cm

Question 3

Choose the one alternative that best completes the statement or answers the question.
-Is x2y8 a common factor of -x3y9 and x2y8?

Accepted Answer

A) True 
 B)False

Question 4

Simplify.
-

Accepted Answer

A)  4 
B)  12 
C)  27 
D)  729 
A)  4 
B)  12 
C)  27 
D)  729

Question 5

Factor completely.
-3x2 - 18x + 24

Accepted Answer

A)  3(x - 8)(x + 1) 
B)  ( 3x - 6)(x - 4) 
C)  Prime 
D)  3(x - 2)(x - 4) 
A)  3(x - 8)(x + 1) 
B)  ( 3x - 6)(x - 4) 
C)  Prime 
D)  3(x - 2)(x - 4)

Question 6

Factor by grouping.
-14   - 7     - 2mn +

Accepted Answer

A)  ( 7   - n)( 2m +   ) 
B)  ( 7m - n)( 2   -   ) 
C)  ( 7   - n)( 2m -   ) 
D)  ( 7   + n)( 2m -   ) 
A)  ( 7   - n)( 2m +   ) 
B)  ( 7m - n)( 2   -   ) 
C)  ( 7   - n)( 2m -   ) 
D)  ( 7   + n)( 2m -   )

Question 7

Factor by grouping.
-12x2 + 7xt - 12t2

Accepted Answer

A)  ( 4x + 3t)( 3x - 4t) 
B)  ( 12x - 3t)(x + 4t) 
C)  ( 4x - 3t)( 3x + 4t) 
D)  Prime 
A)  ( 4x + 3t)( 3x - 4t) 
B)  ( 12x - 3t)(x + 4t) 
C)  ( 4x - 3t)( 3x + 4t) 
D)  Prime

Question 8

Factor the binomial completely. If it is prime, say so.
-49y4 - 81

Accepted Answer

A)  ( 7y2 + 9)( 7y2 - 9) 
B)  ( 7y2 + 9)2  
C)  ( 7y2 - 9)2  
D)  Prime 
A)  ( 7y2 + 9)( 7y2 - 9) 
B)  ( 7y2 + 9)2  
C)  ( 7y2 - 9)2  
D)  Prime

Factor by grouping. -15a³ + 12a²b - 25ab² - 20b³

Solve the problem. -The length of a rectangular frame is 5 cm more than the width. The area inside the frame is 126 square cm. Find the width of the frame.

Choose the one alternative that best completes the statement or answers the question. -Is x²y⁸ a common factor of -x³y⁹ and x²y⁸?

Simplify. -

Factor completely. -3x² - 18x + 24

Factor by grouping. -14 - 7 - 2mn +

Factor by grouping. -12x² + 7xt - 12t²

Factor the binomial completely. If it is prime, say so. -49y⁴ - 81

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

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Exam 7: Rational Expressions and Applications

Factor by grouping. -15a3 + 12a2b - 25ab2 - 20b3