Question 1

Add like terms, if possible, and write the result in descending powers of the variable.
-4x6 + 8x2 + 9x6

Accepted Answer

A)  13x6 + 8x2  
B)  21x14  
C)  21x2  
D)  Cannot be simplified 
A)  13x6 + 8x2  
B)  21x14  
C)  21x2  
D)  Cannot be simplified

Question 2

Perform the indicated operation.
-Subtract ( 4xy - 5xy2) from the difference between   and

Accepted Answer

A)  -2x2y - 11xy2 + 2xy 
B)  -2x2y + 11xy2 - 6xy 
C)  -2x2y - 11xy2 - 6xy 
D)  3x2y + 6xy2 - 6xy 
A)  -2x2y - 11xy2 + 2xy 
B)  -2x2y + 11xy2 - 6xy 
C)  -2x2y - 11xy2 - 6xy 
D)  3x2y + 6xy2 - 6xy

Question 3

Write the word or phrase that best completes each statement or answers the question.
-In multiplying two monomials, you use (but do not always show) the commutative and associative properties. In each line below, name the property that has been used.

Accepted Answer

Associativ

Question 4

Perform the division.
-

Accepted Answer

A)  4x2 - 3x - 1 
B)  x2 + 3x + 1 
C)  4x2 - 1 
D)  x2 - 3x - 1 
A)  4x2 - 3x - 1 
B)  x2 + 3x + 1 
C)  4x2 - 1 
D)  x2 - 3x - 1

Question 5

Add like terms, if possible, and write the result in descending powers of the variable.
-2x4 + 9x4 - 6x4

Accepted Answer

A)  5x12  
B)  5x4  
C)  -108x4  
D)  Cannot be simplified 
A)  5x12  
B)  5x4  
C)  -108x4  
D)  Cannot be simplified

Question 6

Write the word or phrase that best completes each statement or answers the question.Provide an appropriate response.
-Explain how ( m + n)3 differs from m3 + n3 by expanding ( m + n)3.

Accepted Answer

Expanding ( m + n)³, one gets (

Question 7

Add or subtract as indicated.
-( 8s + 5t) + ( 2t - 3s)

Accepted Answer

A)  10s + 2 
B)  11s + 7t 
C)  12st 
D)  5s + 7t 
A)  10s + 2 
B)  11s + 7t 
C)  12st 
D)  5s + 7t

Question 8

Write the word or phrase that best completes each statement or answers the question.Provide an appropriate response.
-Explain how ( a - b)2 differs from a2 - b2 by expanding ( a - b)2.

Accepted Answer

Expanding ( a - b)², one gets (

Question 9

Simplify by writing the expression with positive exponents. Assume that all variables represent nonzero real numbers
-    .   .

Accepted Answer

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

Question 10

Write the word or phrase that best completes each statement or answers the question.Provide an appropriate response
-In scientific notation, what is the largest integer which can be multiplied by a power of 10?

Accepted Answer

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

Question 11

Determine whether the expression represents a number that is positive, negative, or zero.
-

Accepted Answer

A)  Zero 
B)  Positive 
C)  Negative 
A)  Zero 
B)  Positive 
C)  Negative

Question 12

Use the product rule, if possible, to simplify the expression. Write the answer in exponential form.
-( -7   )( -4   )( 3   )

Accepted Answer

A)  84   
B)  84   
C)  -84   
D)  -84   
A)  84   
B)  84   
C)  -84   
D)  -84

Question 13

Determine whether the expression represents a number that is positive, negative, or zero.
-(-

Accepted Answer

A)  Zero 
B)  Negative 
C)  Positive 
A)  Zero 
B)  Negative 
C)  Positive

Question 14

Solve the problem.
-Find an expression that represents the area of the figure.

Accepted Answer

A)  16   
B)  16   
C)  32   
D)  32   
A)  16   
B)  16   
C)  32   
D)  32

Question 15

Find the value of the polynomial.
-7x + 7 when x = 5

Accepted Answer

A)  14 
B)  70 
C)  42 
D)  28 
A)  14 
B)  70 
C)  42 
D)  28

Question 16

Choose the one alternative that best completes the statement or answers the question.Find the product.
--12x5( 4x6 + 6x2 + 10)

Accepted Answer

A)  -48x6 - 72x2 - 120 
B)  -48x11 - 72x7  
C)  -48x11 + 6x2 + 10 
D)  -48x11 - 72x7 - 120x5  
A)  -48x6 - 72x2 - 120 
B)  -48x11 - 72x7  
C)  -48x11 + 6x2 + 10 
D)  -48x11 - 72x7 - 120x5

Question 17

Perform the indicated operation. Write the answer without exponents.
-( 6.0 ×   ) × ( 5.8 ×   )

Accepted Answer

A)  3.48 
B)  0.348 
C)  34.8 ×   
D)  34.8 ×   
A)  3.48 
B)  0.348 
C)  34.8 ×   
D)  34.8 ×

Question 18

Solve the problem.
-Find an expression that represents the volume of the figure.

Accepted Answer

A)  60     
B)  60     
C)  60     
D)  120     
A)  60     
B)  60     
C)  60     
D)  120

Question 19

Identify the polynomial as a monomial, binomial, trinomial, or none of these. Give its degree
--20y3 - 1y2 + 3

Accepted Answer

A)  Binomial, degree 3 
B)  Trinomial, degree 3 
C)  Trinomial, degree 5 
D)  Trinomial, degree 6 
A)  Binomial, degree 3 
B)  Trinomial, degree 3 
C)  Trinomial, degree 5 
D)  Trinomial, degree 6

Question 20

Find the value of the polynomial.
-7   + 4x - 4 when x = 2

Accepted Answer

A)  18 
B)  22 
C)  28 
D)  32 
A)  18 
B)  22 
C)  28 
D)  32

Add like terms, if possible, and write the result in descending powers of the variable. -4x⁶⁺⁸x² + 9x⁶

Perform the indicated operation. -Subtract ( 4xy - 5xy²) from the difference between and

Write the word or phrase that best completes each statement or answers the question. -In multiplying two monomials, you use (but do not always show) the commutative and associative properties. In each line below, name the property that has been used.

Perform the division. -

Add like terms, if possible, and write the result in descending powers of the variable. -2x⁴ + 9x⁴ - 6x⁴

Write the word or phrase that best completes each statement or answers the question.Provide an appropriate response. -Explain how ( m + n)³ differs from m³ + n³ by expanding ( m + n)³.

Add or subtract as indicated. -( 8s + 5t) + ( 2t - 3s)

Write the word or phrase that best completes each statement or answers the question.Provide an appropriate response. -Explain how ( a - b)² differs from a² - b² by expanding ( a - b)²_.

Simplify by writing the expression with positive exponents. Assume that all variables represent nonzero real numbers - . .

Write the word or phrase that best completes each statement or answers the question.Provide an appropriate response -In scientific notation, what is the largest integer which can be multiplied by a power of 10?

Determine whether the expression represents a number that is positive, negative, or zero. -

Use the product rule, if possible, to simplify the expression. Write the answer in exponential form. -( -7 )( -4 )( 3 )

Determine whether the expression represents a number that is positive, negative, or zero. -(-

Solve the problem. -Find an expression that represents the area of the figure.

Find the value of the polynomial. -7x + 7 when x = 5

Choose the one alternative that best completes the statement or answers the question.Find the product. --12x⁵( 4x⁶ + 6x² + 10)

Perform the indicated operation. Write the answer without exponents. -( 6.0 × ) × ( 5.8 × )

Solve the problem. -Find an expression that represents the volume of the figure.

Identify the polynomial as a monomial, binomial, trinomial, or none of these. Give its degree --20y³ - 1y² + 3

Find the value of the polynomial. -7 + 4x - 4 when x = 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

Add like terms, if possible, and write the result in descending powers of the variable. -4x6 + 8x2 + 9x6

Perform the indicated operation. -Subtract ( 4xy - 5xy2) from the difference between and