Question 1

Simplify, and write the answer using only positive exponents. Assume all variables represent nonzero numbers.
-

Accepted Answer

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

Question 2

Solve the problem.
-Find a polynomial that represents the area of the shaded region.

Accepted Answer

A)  12a2 + 6a 
B)  10a2 + 3a 
C)  10a2 - 1 
D)  12a2 + 3a 
A)  12a2 + 6a 
B)  10a2 + 3a 
C)  10a2 - 1 
D)  12a2 + 3a

Question 3

Write the word or phrase that best completes each statement or answers the question.Provide an appropriate response.
-Find and explain the mistake(s); then work the problem correctly.( 7x - 3y)( 7x - 3y) = 49   + 9

Accepted Answer

Explanations will va

Question 4

If the number in the statement is written in scientific notation, write it without exponents. If it is written without exponents, write it in scientific notation.
-A computer can do one calculation in 1.4 × 10-7 seconds.

Accepted Answer

A)  0.000000014 
B)  14,000,000 
C)  0.00000014 
D)  0.000014 
A)  0.000000014 
B)  14,000,000 
C)  0.00000014 
D)  0.000014

Question 5

Identify the base and the exponent for the exponential expression.
--153

Accepted Answer

A)  Base: 3, exponent: -15 
B)  Base: 3, exponent: 15 
C)  Base: 15, exponent: 3 
D)  Base: -15, exponent: 3 
A)  Base: 3, exponent: -15 
B)  Base: 3, exponent: 15 
C)  Base: 15, exponent: 3 
D)  Base: -15, exponent: 3

Question 6

Provide an appropriate response
-Decide whether the expression is positive, negative, or zero.

Accepted Answer

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

Question 7

Find the product.
-(w - 9)2

Accepted Answer

A)  w2 + 81 
B)  81w2 - 18w + 81 
C)  w + 81 
D)  w2 - 18w + 81 
A)  w2 + 81 
B)  81w2 - 18w + 81 
C)  w + 81 
D)  w2 - 18w + 81

Question 8

Choose the one alternative that best completes the statement or answers the question.Find the product.
-( 3 z2 + 3 z + 5)( z2 + 5 z + 2)

Accepted Answer

A)  3 z4 + 18 z3 + 26 z2 + 31 z + 10 
B)  3 z4 + 18 z3 + 21 z2 + 31 z + 10  
C)  3 z4 + 15 z3 + 21 z2 + 31 z + 10 
D)  3 z4 + 15 z3 + 26 z2 + 31 z + 10 
A)  3 z4 + 18 z3 + 26 z2 + 31 z + 10 
B)  3 z4 + 18 z3 + 21 z2 + 31 z + 10  
C)  3 z4 + 15 z3 + 21 z2 + 31 z + 10 
D)  3 z4 + 15 z3 + 26 z2 + 31 z + 10

Question 9

Find the product.
-(x - 2)3

Accepted Answer

A)  x3 - 6x2 + 12x - 8 
B)  x3 - 2x2 + 8x - 8 
C)  x3 - 6x2 + 6x - 8 
D)  x3 - 6x2 + 8x - 8 
A)  x3 - 6x2 + 12x - 8 
B)  x3 - 2x2 + 8x - 8 
C)  x3 - 6x2 + 6x - 8 
D)  x3 - 6x2 + 8x - 8

Question 10

Choose the one alternative that best completes the statement or answers the question.Find the product.
--9x6( 12x7 - 2)

Accepted Answer

A)  -108x7 + 18 
B)  -108x13 + 18x6  
C)  -90x6  
D)  -108x13 - 2 
A)  -108x7 + 18 
B)  -108x13 + 18x6  
C)  -90x6  
D)  -108x13 - 2

Question 11

Use the product rule, if possible, to simplify the expression. Write the answer in exponential form.
-94 ? 96

Accepted Answer

A)  8110  
B)  910  
C)  924  
D)  8124  
A)  8110  
B)  910  
C)  924  
D)  8124

Question 12

Perform the division.
-

Accepted Answer

A)  x2 - 4x + 4 
B)  x2 + 2x + 4 
C)  x2 - 2x - 4 
D)  x2 - 2x + 4 
A)  x2 - 4x + 4 
B)  x2 + 2x + 4 
C)  x2 - 2x - 4 
D)  x2 - 2x + 4

Question 13

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

Accepted Answer

A)  16   - 9   
B)  16   - 9t 
C)  16   + 9t 
D)  16   - 9 
A)  16   - 9   
B)  16   - 9t 
C)  16   + 9t 
D)  16   - 9

Question 14

Graph the following by completing the table of values.
-y = 4x2 - 4

Accepted Answer

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

Question 15

Choose the one alternative that best completes the statement or answers the question. 
 
Find the product.
-( 3p + 11)( 3p - 11)

Accepted Answer

A)  9p2 + 66p - 121 
B)  9p2 - 66p - 121 
C)  9p2 - 121 
D)  p2 - 121 
A)  9p2 + 66p - 121 
B)  9p2 - 66p - 121 
C)  9p2 - 121 
D)  p2 - 121

Question 16

Use the product rule, if possible, to simplify the expression. Write the answer in exponential form.
-( -9)7( -9)6

Accepted Answer

A)  ( 81)42  
B)  ( 9)13  
C)  ( 81)13  
D)  ( -9)13  
A)  ( 81)42  
B)  ( 9)13  
C)  ( 81)13  
D)  ( -9)13

Question 17

Choose the one alternative that best completes the statement or answers the question
-Evaluate the exponential expression -6 p0, if p $\neq$ 0.

Accepted Answer

A)  -6 p 
B)  0 
C)  -6 
D)  -1 
A)  -6 p 
B)  0 
C)  -6 
D)  -1

Question 18

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 19

Determine whether the expression represents a number that is positive, negative, or zero.
-( -7)-9

Accepted Answer

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

Question 20

Write the number without exponents.
-9. 59 × 10-4

Accepted Answer

A)  -9 59,000 
B)  0.00 9 59 
C)  0.0000 9 59 
D)  0.000 9 59 
A)  -9 59,000 
B)  0.00 9 59 
C)  0.0000 9 59 
D)  0.000 9 59

Simplify, and write the answer using only positive exponents. Assume all variables represent nonzero numbers. -

Solve the problem. -Find a polynomial that represents the area of the shaded region.

Write the word or phrase that best completes each statement or answers the question.Provide an appropriate response. -Find and explain the mistake(s); then work the problem correctly.( 7x - 3y)( 7x - 3y) = 49 + 9

If the number in the statement is written in scientific notation, write it without exponents. If it is written without exponents, write it in scientific notation. -A computer can do one calculation in 1.4 × 10^-7 seconds.

Identify the base and the exponent for the exponential expression. --15³

Provide an appropriate response -Decide whether the expression is positive, negative, or zero.

Find the product. -(w - 9)²

Choose the one alternative that best completes the statement or answers the question.Find the product. -( 3 z² + 3 z + 5)( z² + 5 z + 2)

Find the product. -(x - 2)³

Choose the one alternative that best completes the statement or answers the question.Find the product. --9x⁶( 12x⁷ - 2)

Use the product rule, if possible, to simplify the expression. Write the answer in exponential form. -9⁴ ? 9⁶

Perform the division. -

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

Graph the following by completing the table of values. -y = 4x² - 4

Choose the one alternative that best completes the statement or answers the question. Find the product. -( 3p + 11)( 3p - 11)

Use the product rule, if possible, to simplify the expression. Write the answer in exponential form. -( -9)⁷( -9)⁶

Choose the one alternative that best completes the statement or answers the question -Evaluate the exponential expression -6 p⁰, if p $\neq$ 0.

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

Determine whether the expression represents a number that is positive, negative, or zero. -( -7)^-⁹

Write the number without exponents. -9. 59 × 10^-4

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