Question 1

Solve the problem.
-If a polynomial in x of degree 5 is divided by a monomial in x of degree 3, what is the degree of the quotient?

Accepted Answer

A)  8 
B)  3 
C)  Can't tell 
D)  2 
A)  8 
B)  3 
C)  Can't tell 
D)  2 D

Question 2

Perform the indicated operation.
-Add.
5n5 + 4n3 + 2

Accepted Answer

A)  15n8  
B)  7 + 12n5 - 4n3  
C)  7n5 + 12n3 - 4 
D)  4n5 + 13n3 - 2 
A)  15n8  
B)  7 + 12n5 - 4n3  
C)  7n5 + 12n3 - 4 
D)  4n5 + 13n3 - 2 C

Question 3

Combine like terms when possible and write the polynomial in descending powers of the variable. Give the degree of the simplified polynomial. Decide whether the simplified polynomial is a monomial, a trinomial, or none of these.
-3x7 + 7x3 - 5x7

Accepted Answer

A)  5x17; 17; monomial 
B)  Cannot be simplified 
C)  -2x7 + 7x3; 7; binomial 
D)  5x3; 3; monomial 
A)  5x17; 17; monomial 
B)  Cannot be simplified 
C)  -2x7 + 7x3; 7; binomial 
D)  5x3; 3; monomial C

Question 4

Choose the one alternative that best completes the statement or answers the question. 
 
Find the product.
--

Accepted Answer

A)  -9   - 25 
B)  -9   + 30y + 25 
C)  9   - 30y + 25 
D)  -9   + 30y - 25 
A)  -9   - 25 
B)  -9   + 30y + 25 
C)  9   - 30y + 25 
D)  -9   + 30y - 25

Question 5

Choose the one alternative that best completes the statement or answers the question.Evaluate the expression.
-( -4)-2

Accepted Answer

A)  16 
B)    
C)  -   
D)  -16 
A)  16 
B)    
C)  -   
D)  -16

Question 6

Solve the problem.
-Determine a polynomial that represents the area of the figure.     4x + 1

Accepted Answer

A)  16   + 8x - 1 
B)  16   + 1 
C)  16   - 8x + 1 
D)  16   - 1 
A)  16   + 8x - 1 
B)  16   + 1 
C)  16   - 8x + 1 
D)  16   - 1

Question 7

Choose the one alternative that best completes the statement or answers the question. 
 
Find the product.
-( r - w)2

Accepted Answer

A)    - r w +   
B)    - 2 r w +   
C)    - 2 r w -   
D)    + 2 r w +   
A)    - r w +   
B)    - 2 r w +   
C)    - 2 r w -   
D)    + 2 r w +

Question 8

Find the product.
-2   ( 2y + -5)(y + 3)

Accepted Answer

A)  4   + -30   
B)  6   + -30   
C)  2   + -30   
D)  4   + 2   + -30   
A)  4   + -30   
B)  6   + -30   
C)  2   + -30   
D)  4   + 2   + -30

Question 9

Solve the problem.
-A rectangular patio has an area of   Find the length if the width is

Accepted Answer

A)  m2 - 4m + 6 
B)  m3 + 4m2 - 6m 
C)  m2 + 13m - 6 
D)  m2 + 4m - 6 
A)  m2 - 4m + 6 
B)  m3 + 4m2 - 6m 
C)  m2 + 13m - 6 
D)  m2 + 4m - 6

Question 10

Choose the one alternative that best completes the statement or answers the question.Find the product.
-( 3x - 1)( 4   - 3   + 4   - x + 4)

Accepted Answer

A)  12- 4   - 9   + 15   - 7   + 13x - 4   
B)  12- 4   - 9   + 9   - 7   + 11x + 4   
C)  12- 4   - 9   + 15   + 13x - 4   
D)  12- 9   + 12   - 3   + 12x - 1   
A)  12- 4   - 9   + 15   - 7   + 13x - 4   
B)  12- 4   - 9   + 9   - 7   + 11x + 4   
C)  12- 4   - 9   + 15   + 13x - 4   
D)  12- 9   + 12   - 3   + 12x - 1

Question 11

Choose the one alternative that best completes the statement or answers the question.Find the product.
--8x6( 11x7 - 7x4)

Accepted Answer

A)  -88x13 + 56x10  
B)  -88x13 - 7x4  
C)  -32x6  
D)  -32x13 - 32x10  
A)  -88x13 + 56x10  
B)  -88x13 - 7x4  
C)  -32x6  
D)  -32x13 - 32x10

Question 12

Perform the division.
-

Accepted Answer

A)  7r2 + 5r + 6 
B)  7r2 - 5r - 6 
C)  r2 + 6r + 5 
D)  7r2 + 5r +   
A)  7r2 + 5r + 6 
B)  7r2 - 5r - 6 
C)  r2 + 6r + 5 
D)  7r2 + 5r +

Question 13

Choose the one alternative that best completes the statement or answers the question. 
 Write the expression using exponents.
-

Accepted Answer

A)    
B)  1 
C)    
D)    
A)    
B)  1 
C)    
D)

Question 14

Perform the indicated operation.
-Add ( 4a5 + 7a2) and ( 7a5 - 4a2).

Accepted Answer

A)  14a7  
B)  11a5 + 3a2  
C)  11a10 + 3a4  
D)  14a14  
A)  14a7  
B)  11a5 + 3a2  
C)  11a10 + 3a4  
D)  14a14

Question 15

Choose the one alternative that best completes the statement or answers the question.Evaluate the expression.
-150 + ( -8)0

Accepted Answer

A)  0 
B)  1 
C)  2 
D)  7 
A)  0 
B)  1 
C)  2 
D)  7

Question 16

Find the product. Use the FOIL method.
-( 4x - 5)( 4x + 5)

Accepted Answer

A)  16x2 + 40x - 25 
B)  16x2 - 25  
C)  16x2 - 40x - 25  
D)  4x2 + 40x - 25 
A)  16x2 + 40x - 25 
B)  16x2 - 25  
C)  16x2 - 40x - 25  
D)  4x2 + 40x - 25

Question 17

Determine the number of terms and name the coefficients of the terms.
-9 s - 5 b

Accepted Answer

A)  2; 9 and -5 
B)  2; -9 and 5 
C)  2; 9 and 5 
D)  2; -9 and -5 
A)  2; 9 and -5 
B)  2; -9 and 5 
C)  2; 9 and 5 
D)  2; -9 and -5

Question 18

Determine the number of terms and name the coefficients of the terms.
--4 z + 8 x - c

Accepted Answer

A)  2; -4 and 8 
B)  3; -4, 8, -1 
C)  3; -4, 8, 1 
D)  3; 4, 8, 1 
A)  2; -4 and 8 
B)  3; -4, 8, -1 
C)  3; -4, 8, 1 
D)  3; 4, 8, 1

Question 19

Solve the problem.
-The volume of a box is   The height is p and the width is   What is the length?

Accepted Answer

A)  4p2 + 6p 
B)  4p3 + 6p2 
C)  4p + 6 
D)  p2 + 6 
A)  4p2 + 6p 
B)  4p3 + 6p2 
C)  4p + 6 
D)  p2 + 6

Question 20

Choose the one alternative that best completes the statement or answers the question. 
 
Find the product.
-( 3x + 2y)2

Accepted Answer

A)  9x2 + 4y2  
B)  3x2 + 12xy + 4y2  
C)  3x2 + 4y2  
D)  9x2 + 12xy + 4y2  
A)  9x2 + 4y2  
B)  3x2 + 12xy + 4y2  
C)  3x2 + 4y2  
D)  9x2 + 12xy + 4y2

Solve the problem. -If a polynomial in x of degree 5 is divided by a monomial in x of degree 3, what is the degree of the quotient?

Perform the indicated operation. -Add. 5n⁵ + 4n³ + 2

Combine like terms when possible and write the polynomial in descending powers of the variable. Give the degree of the simplified polynomial. Decide whether the simplified polynomial is a monomial, a trinomial, or none of these. -3x⁷⁺⁷x³ - 5x⁷

Choose the one alternative that best completes the statement or answers the question. Find the product. --

Choose the one alternative that best completes the statement or answers the question.Evaluate the expression. -( -4)^-²

Solve the problem. -Determine a polynomial that represents the area of the figure. 4x + 1

Choose the one alternative that best completes the statement or answers the question. Find the product. -( r - w)²

Find the product. -2 ( 2y + -5)(y + 3)

Solve the problem. -A rectangular patio has an area of Find the length if the width is

Choose the one alternative that best completes the statement or answers the question.Find the product. -( 3x - 1)( 4 - 3 + 4 - x + 4)

Choose the one alternative that best completes the statement or answers the question.Find the product. --8x⁶( 11x⁷ - 7x⁴)

Perform the division. -

Choose the one alternative that best completes the statement or answers the question. Write the expression using exponents. -

Perform the indicated operation. -Add ( 4a⁵ + 7a²) and ( 7a⁵ - 4a²).

Choose the one alternative that best completes the statement or answers the question.Evaluate the expression. -15⁰ + ( -8)⁰

Find the product. Use the FOIL method. -( 4x - 5)( 4x + 5)

Determine the number of terms and name the coefficients of the terms. -9 s - 5 b

Determine the number of terms and name the coefficients of the terms. --4 z + 8 x - c

Solve the problem. -The volume of a box is The height is p and the width is What is the length?

Choose the one alternative that best completes the statement or answers the question. Find the product. -( 3x + 2y)²

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

Rational Expressions and Applications

Roots and Radicals

Quadratic Equations

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Exam 6: Factoring and Applications