Question 1

Factor the binomial completely. If it is prime, say so.
-147a4 - 108b2

Accepted Answer

A)  3( 7a2 + 6b)( 7a2 - 6b) 
B)  3( 7a2 + 6b)2  
C)  3( 7a2 - 6b)2  
D)  Prime 
A)  3( 7a2 + 6b)( 7a2 - 6b) 
B)  3( 7a2 + 6b)2  
C)  3( 7a2 - 6b)2  
D)  Prime A

Question 2

Write the word or phrase that best completes each statement or answers the question. 
 
Provide an appropriate response.
-Write a problem in which the quadratic equation   must be solved in order to solve the problem.

Accepted Answer

Answers will vary. Possible answer is: "The length of a rectangle is 3 cm more than its width and its area is 108 square cm. Find the length and width of the rectangle".

Question 3

Factor completely.
-20x2y2 - 9xy2 - 20y2

Accepted Answer

A)  ( 5x - 5y)( 4x + 4y) 
B)  y2(x - 5)( 20x + 4) 
C)  ( 4x - 5y)( 5x + 4y) 
D)  y2( 4x - 5)( 5x + 4) 
A)  ( 5x - 5y)( 4x + 4y) 
B)  y2(x - 5)( 20x + 4) 
C)  ( 4x - 5y)( 5x + 4y) 
D)  y2( 4x - 5)( 5x + 4) D

Question 4

Factor completely. If the polynomial is prime, say so.
-12wx - 3wy - 4xz + yz

Accepted Answer

A)  ( 3wz)( 4x - y) 
B)  ( 3w + z)( 4x + y) 
C)  ( 3w - z)( 4x - y) 
D)  ( 3 - z)( 4wx - y) 
A)  ( 3wz)( 4x - y) 
B)  ( 3w + z)( 4x + y) 
C)  ( 3w - z)( 4x - y) 
D)  ( 3 - z)( 4wx - y)

Question 5

Solve the problem.
-Below is a diagram of a water slide. The slide is 22 ft long. The ladder leading to the slide is 17 ft long. How far is it from the end of the slide to the foot of the ladder? Round approximations to the nearest tenth.
     
?

Accepted Answer

A)  97.5 ft 
B)  7 ft 
C)  19.5 ft 
D)  14 ft 
A)  97.5 ft 
B)  7 ft 
C)  19.5 ft 
D)  14 ft

Question 6

Solve the problem.
-A parallelogram has a base of length 3x + 1 and a height of x + 1 and has an area of 96 square units. Find the base and height of the parallelogram. (A = bh)

Accepted Answer

A)  height = 2 units; base = 48 units 
B)  height = 4 units; base = 24 units 
C)  height = 8 units; base = 12 units 
D)  height = 6 units; base = 16 units 
A)  height = 2 units; base = 48 units 
B)  height = 4 units; base = 24 units 
C)  height = 8 units; base = 12 units 
D)  height = 6 units; base = 16 units

Question 7

Solve the problem.
-A triangle has a base of length 2x + 3 and a height of x + 3 and has an area of 27 square units. Find thebase and height. (A =   bh)

Accepted Answer

A)  base = 9 units; height = 3 units 
B)  base = 9 units; height = 6 units 
C)  base = 3 units; height = 9 unit 
D)  base = 18 units; height = 3 units 
A)  base = 9 units; height = 3 units 
B)  base = 9 units; height = 6 units 
C)  base = 3 units; height = 9 unit 
D)  base = 18 units; height = 3 units

Question 8

Factor completely. If the polynomial cannot be factored, write prime.
-  + 4s+ 4

Accepted Answer

A)  (s + 4)(s - 1) 
B)  (s + 2)(s + 2) 
C)  (s - 2)(s - 2) 
D)  (s + 4)(s + 4) 
A)  (s + 4)(s - 1) 
B)  (s + 2)(s + 2) 
C)  (s - 2)(s - 2) 
D)  (s + 4)(s + 4)

Question 9

Factor completely. If the polynomial is prime, say so.
-6   + x - 7

Accepted Answer

A)  ( 6x + 1)(x - 1) 
B)  ( 6x + 7)(x - 6) 
C)  ( 6x + 7)(x - 1) 
D)  ( 6x - 7)(x + 1) 
A)  ( 6x + 1)(x - 1) 
B)  ( 6x + 7)(x - 6) 
C)  ( 6x + 7)(x - 1) 
D)  ( 6x - 7)(x + 1)

Question 10

Factor completely. If the polynomial is prime, say so.
-  + 4

Accepted Answer

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

Question 11

Write the word or phrase that best completes each statement or answers the question. 
 
Provide an appropriate response.
-How could you solve the equation   How many equations do you need to solve? What are their solutions?

Accepted Answer

Set each factor in turn equal

Question 12

Factor completely.
-2x3+2x2y-40xy2= 2x(_____)(_____)

Accepted Answer

A)  x - 4y, x + 5y 
B)  x + 8xy, x - 5y 
C)  x + 4y, x - 5y 
D)  x + 8y, x - 5y 
A)  x - 4y, x + 5y 
B)  x + 8xy, x - 5y 
C)  x + 4y, x - 5y 
D)  x + 8y, x - 5y

Question 13

Answer the question.
-The monomial 16x8y4 is a perfect square.True or False?

Accepted Answer

A) True 
 B)False

Question 14

Factor out the greatest common factor.
-20     + 32     + 40

Accepted Answer

A)    
B)    
C)    
D)  No common factor (except 1) 
A)    
B)    
C)    
D)  No common factor (except 1)

Question 15

Write the word or phrase that best completes each statement or answers the question. 
 
Provide an appropriate response.
-A student is trying to solve the equation (x + 2)(x - 3) = 10. The student has set x + 2 = 10 and x - 3 = 10 and found that two solutions x = 8, x = 13. The student checks his or her results by plugging in his or her solutions into the original equation and finds that they do not work. How would you advise him or her?

Accepted Answer

The equation needs t

Question 16

Factor completely.
-3x2 - 15x + 18

Accepted Answer

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

Question 17

Choose the one alternative that best completes the statement or answers the question.Solve the equation.
-3y( 3y + 5) = 6

Accepted Answer

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

Question 18

Write the word or phrase that best completes each statement or answers the question. 
 
Provide an appropriate response.
-A student is solving the equation s2 = 122 and has determined that s = 12. He or she has looked up the answer in the back of the book and finds that s = -12 is also a solution. The student feels that this is a misprint. How would you advise him or her?

Accepted Answer

12² = ( -12

Question 19

Solve the equation.
-(x - 4)(   - 10x + 21) = 0

Accepted Answer

A)  { -4, -7, -3} 
B)  { 4} 
C)  { 4, 7, 3} 
D)  { -4} 
A)  { -4, -7, -3} 
B)  { 4} 
C)  { 4, 7, 3} 
D)  { -4}

Question 20

Factor out the greatest common factor.
-2m( 3 - m) + 3n( 3 - m)

Accepted Answer

A)  ( 2m + 3n)( 3 - m) 
B)  m( 2 + 3n)( 3 - 1) 
C)  ( 2m - 3n)( 3 - m) 
D)  No common factor (except 1) 
A)  ( 2m + 3n)( 3 - m) 
B)  m( 2 + 3n)( 3 - 1) 
C)  ( 2m - 3n)( 3 - m) 
D)  No common factor (except 1)

Factor the binomial completely. If it is prime, say so. -147a⁴ - 108b²

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -Write a problem in which the quadratic equation must be solved in order to solve the problem.

Factor completely. -20x²y² - 9xy² - 20y²

Factor completely. If the polynomial is prime, say so. -12wx - 3wy - 4xz + yz

Solve the problem. -Below is a diagram of a water slide. The slide is 22 ft long. The ladder leading to the slide is 17 ft long. How far is it from the end of the slide to the foot of the ladder? Round approximations to the nearest tenth. ?

Solve the problem. -A parallelogram has a base of length 3x + 1 and a height of x + 1 and has an area of 96 square units. Find the base and height of the parallelogram. (A = bh)

Solve the problem. -A triangle has a base of length 2x + 3 and a height of x + 3 and has an area of 27 square units. Find thebase and height. (A = bh)

Factor completely. If the polynomial cannot be factored, write prime. - + 4s+ 4

Factor completely. If the polynomial is prime, say so. -6 + x - 7

Factor completely. If the polynomial is prime, say so. - + 4

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -How could you solve the equation How many equations do you need to solve? What are their solutions?

Factor completely. -2x³+2x²y-40xy²= 2x(_)(_)

Answer the question. -The monomial 16x⁸y⁴ is a perfect square.True or False?

Factor out the greatest common factor. -20 + 32 + 40

Factor completely. -3x² - 15x + 18

Choose the one alternative that best completes the statement or answers the question.Solve the equation. -3y( 3y + 5) = 6

Solve the equation. -(x - 4)( - 10x + 21) = 0

Factor out the greatest common factor. -2m( 3 - m) + 3n( 3 - m)

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Linear Equations and Inequalities in One Variable

Linear Equations and Inequalities in Two Variables; Functions

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Factoring and Applications

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Exam 7: Rational Expressions and Applications

Factor the binomial completely. If it is prime, say so. -147a4 - 108b2