Question 1

Factor completely.
-2   - 12x + 18

Accepted Answer

A)    
B)  2   
C)  2   
D)  Prime 
A)    
B)  2   
C)  2   
D)  Prime

Question 2

Factor completely. If the polynomial is prime, say so.
-15 - 5 r - 3 s + r s

Accepted Answer

A)  ( 3 - r)( 5 - s) 
B)  ( 3 + r)( 5 + s) 
C)  ( 3 - r)( 5 + s) 
D)  ( 3 + r)( 5 - s) 
A)  ( 3 - r)( 5 - s) 
B)  ( 3 + r)( 5 + s) 
C)  ( 3 - r)( 5 + s) 
D)  ( 3 + r)( 5 - s)

Question 3

Write the word or phrase that best completes each statement or answers the question. 
 
Provide an appropriate response.
-Jason is given the following information: "The shortest side of a triangle is 4 cm less than the middle side. The length of the longest side is 13 cm." Jason claims that he can find the lengths of the two shorter sides by solving the following equation:   +   =   What is wrong with his reasoning?

Accepted Answer

Jason obtained this equation b

Question 4

Factor completely.
-  -

Accepted Answer

A) y (   +   ) 
B) 2 y(   +   ) 
C)  y(   -   ) 
D)  2 y(   -   ) 
A) y (   +   ) 
B) 2 y(   +   ) 
C)  y(   -   ) 
D)  2 y(   -   )

Question 5

Factor completely.
-  + 80x + 16

Accepted Answer

A)  ( 20x + 8)( 5x + 2) 
B)    
C)  4( 5x - 2)( 5x + 2) 
D)  4()   + 20x + 4 
A)  ( 20x + 8)( 5x + 2) 
B)    
C)  4( 5x - 2)( 5x + 2) 
D)  4()   + 20x + 4

Question 6

Choose the one alternative that best completes the statement or answers the question.Solve the equation.
-(x - 8)( 64x2 + 96x + 35) = 0

Accepted Answer

A)    
B)  { 8} 
C)    
D)    
A)    
B)  { 8} 
C)    
D)

Question 7

Factor completely. If the polynomial is prime, say so.
-x2 + 43x + 44

Accepted Answer

A)  (x + 44)(x - 1) 
B)  (x - 11)(x + 4) 
C)  (x + 11)(x - 4) 
D)  Prime 
A)  (x + 44)(x - 1) 
B)  (x - 11)(x + 4) 
C)  (x + 11)(x - 4) 
D)  Prime

Question 8

Factor completely. If the polynomial is prime, say so.
-  - 1

Accepted Answer

A)  (   + 1)(x + 1)(x - 1) 
B)      
C)  Prime 
D)  (   - 1)(x + 1)(x - 1) 
A)  (   + 1)(x + 1)(x - 1) 
B)      
C)  Prime 
D)  (   - 1)(x + 1)(x - 1)

Question 9

Simplify.
-132

Accepted Answer

A)  26 
B)  169 
C)  338 
D)  15 
A)  26 
B)  169 
C)  338 
D)  15

Question 10

Find the greatest common factor of the numbers
-6, 14, 16

Accepted Answer

A)  4 
B)  6 
C)  1 
D)  2 
A)  4 
B)  6 
C)  1 
D)  2

Question 11

Choose the one alternative that best completes the statement or answers the question.
-Is x6y6 a common factor of x7y8 and x5y6?

Accepted Answer

A) True 
 B)False

Question 12

Factor the binomial completely. If it is prime, say so.
-9k2 - 16m2

Accepted Answer

A)  ( 3k - 4m)2  
B)  ( 3k + 4m)( 3k - 4m)  
C)  ( 3k + 4m)2  
D)  Prime 
A)  ( 3k - 4m)2  
B)  ( 3k + 4m)( 3k - 4m)  
C)  ( 3k + 4m)2  
D)  Prime

Question 13

Choose the one alternative that best completes the statement or answers the question.Solve the equation.
-x2 - x = 72

Accepted Answer

A)  {-8, -9} 
B)  {1, 72} 
C)  { 8, 9} 
D)  {-8, 9} 
A)  {-8, -9} 
B)  {1, 72} 
C)  { 8, 9} 
D)  {-8, 9}

Question 14

Solve the problem.
-The table shows the population of a city over the past five years.
 
We used this data to develop the quadratic equation   , which models the population of the city y in millions in the year x, where x = 0 represents 1995, x = 1 represents 1996, and so on. Use the model to find the estimated population in the year 1997.

Accepted Answer

A)  1,490,000 
B)  1,490,000,000,000 
C)  66,822,000 
D)  65,538,000 
A)  1,490,000 
B)  1,490,000,000,000 
C)  66,822,000 
D)  65,538,000

Question 15

Find the greatest common factor of the terms.
-88   , 44

Accepted Answer

A)  22   
B)  66   
C)  44   
D)  88   
A)  22   
B)  66   
C)  44   
D)  88

Question 16

Factor the binomial completely. If it is prime, say so.
-25s2 - 49t4

Accepted Answer

A)  ( 5s + 7t2)2  
B)  ( 5s - 7t2)2  
C)  ( 5s + 7t2)( 5s - 7t2) 
D)  Prime 
A)  ( 5s + 7t2)2  
B)  ( 5s - 7t2)2  
C)  ( 5s + 7t2)( 5s - 7t2) 
D)  Prime

Question 17

Factor by grouping.
-8x2 + 6xt - 9t2

Accepted Answer

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

Question 18

Solve the problem.
-The table shows the population of a city over the past five years.
 
We used these data to develop the quadratic equation   , which models the population of the city y in millions in the year x, where x = 0 represents 1995, x = 1 represents 1996, and so on. Use the model to find the estimated population in the year 1998.

Accepted Answer

A)  1,490,000 
B)  71,628,000 
C)  68,852,000 
D)  1,490,000,000,000 
A)  1,490,000 
B)  71,628,000 
C)  68,852,000 
D)  1,490,000,000,000

Question 19

Factor completely.
-60x2+ 68x + 16

Accepted Answer

A)  4( 3x + 1)( 5x + 4) 
B)  4( 3x + 1)( 5x + 16) 
C)  ( 3x + 1)( 5x + 4) 
D)  4( 3x + 1)( 5x - 4) 
A)  4( 3x + 1)( 5x + 4) 
B)  4( 3x + 1)( 5x + 16) 
C)  ( 3x + 1)( 5x + 4) 
D)  4( 3x + 1)( 5x - 4)

Question 20

Choose the one alternative that best completes the statement or answers the question.Solve the equation.
-2   - 17k - 9 = 0

Accepted Answer

A)    
B)    
C)    
D)  {-2, 9} 
A)    
B)    
C)    
D)  {-2, 9}

Factor completely. -2 - 12x + 18

Factor completely. If the polynomial is prime, say so. -15 - 5 r - 3 s + r s

Factor completely. - -

Factor completely. - + 80x + 16

Choose the one alternative that best completes the statement or answers the question.Solve the equation. -(x - 8)( 64x² + 96x + 35) = 0

Factor completely. If the polynomial is prime, say so. -x² + 43x + 44

Factor completely. If the polynomial is prime, say so. - - 1

Simplify. -13²

Find the greatest common factor of the numbers -6, 14, 16

Choose the one alternative that best completes the statement or answers the question. -Is x⁶y⁶ a common factor of x⁷y⁸ and x⁵y⁶?

Factor the binomial completely. If it is prime, say so. -9k² - 16m²

Choose the one alternative that best completes the statement or answers the question.Solve the equation. -x² - x = 72

Find the greatest common factor of the terms. -88 , 44

Factor the binomial completely. If it is prime, say so. -25s² - 49t⁴

Factor by grouping. -8x² + 6xt - 9t²

Factor completely. -60x²+ 68x + 16

Choose the one alternative that best completes the statement or answers the question.Solve the equation. -2 - 17k - 9 = 0

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