Question 1

Factor completely. If the polynomial is prime, say so.
-x2 - x - 12

Accepted Answer

A)  Prime 
B)  (x + 3)(x - 4) 
C)  (x + 4)(x - 3) 
D)  (x + 1)(x - 12) 
A)  Prime 
B)  (x + 3)(x - 4) 
C)  (x + 4)(x - 3) 
D)  (x + 1)(x - 12)

Question 2

Factor completely.
-48x2 + 28xy + 4y2

Accepted Answer

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

Question 3

Factor by grouping.
-15 - 8x +x2

Accepted Answer

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

Question 4

Write the word or phrase that best completes each statement or answers the question. 
 
Provide an appropriate response.
-If an object is dropped, the distance it falls after t seconds is given by   . A student is determining how long it would take an object to fall 86 feet on planet x having gravity 5 ft/sec2. The student determines the two solutions   . Are both correct answers? Why or why not?

Accepted Answer

t = - @#IMG-DLM& giv

Question 5

Complete the factoring.
-21   = 3x( )

Accepted Answer

A)  7   
B)  7x 
C)  63   
D)  63   
A)  7   
B)  7x 
C)  63   
D)  63

Question 6

Factor completely.
-

Accepted Answer

A)    (x + 5y)(x - y) 
B)    (x - 5y)(x + y) 
C)  x(x + 5y)(x - y) 
D)    (x - 5y)(x - y) 
A)    (x + 5y)(x - y) 
B)    (x - 5y)(x + y) 
C)  x(x + 5y)(x - y) 
D)    (x - 5y)(x - y)

Question 7

Factor by grouping.
-6x2 - 13xt + 6t2

Accepted Answer

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

Question 8

Choose the one alternative that best completes the statement or answers the question.Solve the equation.
-8s3 - 12s2 + 12s = 8s

Accepted Answer

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

Question 9

Solve the problem.
-The length of a rectangular flower bed is 11 ft. less than 3 times its width. The area of the bed is 20   . Find the dimensions of the flower bed.

Accepted Answer

A)  5 ft by 4 ft 
B)  3 ft by 4 ft 
C)  3 ft by 3 ft 
D)  5 ft by 1 ft 
A)  5 ft by 4 ft 
B)  3 ft by 4 ft 
C)  3 ft by 3 ft 
D)  5 ft by 1 ft

Question 10

Choose the one alternative that best completes the statement or answers the question.Solve the equation.
-b(b + 14) = 0

Accepted Answer

A)  { 14, 0} 
B)  { -14, 0} 
C)  {1, -14} 
D)  {-1, -14} 
A)  { 14, 0} 
B)  { -14, 0} 
C)  {1, -14} 
D)  {-1, -14}

Question 11

Factor completely.
-12   - 6   + 9

Accepted Answer

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

Question 12

Solve the problem.
-A boat travels 7 miles south and then 9 miles east. How far is the boat from its starting point? Round approximations to the nearest tenth.
   
East --9 mi-->

Accepted Answer

A)  5.7 mi 
B)  8 mi 
C)  11.4 mi 
D)  65 mi 
A)  5.7 mi 
B)  8 mi 
C)  11.4 mi 
D)  65 mi

Question 13

Solve the equation.
-9k2 - 49 = 0

Accepted Answer

A)    
B)    
C)    
D)  { 7, 0} 
A)    
B)    
C)    
D)  { 7, 0}

Question 14

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, namely,   How can you advise him or her?

Accepted Answer

Zero is an

Question 15

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

Accepted Answer

A)  {-24} 
B)  {-24, 0} 
C)  {24} 
D)  {0, 24} 
A)  {-24} 
B)  {-24, 0} 
C)  {24} 
D)  {0, 24}

Question 16

Write the word or phrase that best completes each statement or answers the question. 
 
Provide an appropriate response.
-Brenda's teacher asks her to solve the following problem: "The product of two consecutive numbers is 210. Find the numbers." Brenda knows that she must translate this problem into an equation. What equation could Brenda write to represent this problem?

Accepted Answer

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

Question 17

Choose the one alternative that best completes the statement or answers the question.Solve the equation.
-  + 9x + 8 = 0

Accepted Answer

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

Question 18

Solve the equation.
-(x - 3)(x + 5) = 0

Accepted Answer

A)  { 3, -5} 
B)  { 3, -3, 5, -5} 
C)  {-3, 5} 
D)  { 3, 5} 
A)  { 3, -5} 
B)  { 3, -3, 5, -5} 
C)  {-3, 5} 
D)  { 3, 5}

Question 19

Choose the one alternative that best completes the statement or answers the question.Solve the equation.
-12c3 - 32c2 - 12c = 0

Accepted Answer

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

Question 20

Factor the polynomial completely.
-128   m - 250

Accepted Answer

A)  ( 8km - 10   )( 16   + 25   ) 
B)  2m( 64k - 5m)(   + 20km + 25   ) 
C)  2m( 4k + 5   )( 16   - 20km + 25k   ) 
D)  2m( 4k - 5m)( 16   + 20km + 25   ) 
A)  ( 8km - 10   )( 16   + 25   ) 
B)  2m( 64k - 5m)(   + 20km + 25   ) 
C)  2m( 4k + 5   )( 16   - 20km + 25k   ) 
D)  2m( 4k - 5m)( 16   + 20km + 25   )

Factor completely. If the polynomial is prime, say so. -x² - x - 12

Factor completely. -48x² + 28xy + 4y²

Factor by grouping. -15 - 8x +x²

Complete the factoring. -21 = 3x( )

Factor completely. -

Factor by grouping. -6x² - 13xt + 6t²

Choose the one alternative that best completes the statement or answers the question.Solve the equation. -8s³ - 12s² + 12s = 8s

Solve the problem. -The length of a rectangular flower bed is 11 ft. less than 3 times its width. The area of the bed is 20 . Find the dimensions of the flower bed.

Choose the one alternative that best completes the statement or answers the question.Solve the equation. -b(b + 14) = 0

Factor completely. -12 - 6 + 9

Solve the problem. -A boat travels 7 miles south and then 9 miles east. How far is the boat from its starting point? Round approximations to the nearest tenth. East --9 mi-->

Solve the equation. -9k² - 49 = 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, namely, How can you advise him or her?

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

Choose the one alternative that best completes the statement or answers the question.Solve the equation. - + 9x + 8 = 0

Solve the equation. -(x - 3)(x + 5) = 0

Choose the one alternative that best completes the statement or answers the question.Solve the equation. -12c³ - 32c² - 12c = 0

Factor the polynomial completely. -128 m - 250

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 completely. If the polynomial is prime, say so. -x2 - x - 12

Factor completely. -48x2 + 28xy + 4y2

Factor by grouping. -15 - 8x +x2