Question 1

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

Accepted Answer

A)  (   
B)    
C)  y + c 
D)    
A)  (   
B)    
C)  y + c 
D)

Question 2

Determine whether or not the number is written in scientific notation
-36.36 × 105

Accepted Answer

A)  in scientific notation 
B)  not in scientific notation 
A)  in scientific notation 
B)  not in scientific notation

Question 3

Choose the one alternative that best completes the statement or answers the question
-Determine if the expression ( -2)-8 is positive or negative.

Accepted Answer

A)  Positive 
B)  Negative 
A)  Positive 
B)  Negative

Question 4

Add like terms, if possible, and write the result in descending powers of the variable.
--10m6 + 12m4 - 12m3 + 8m6 - 7m4

Accepted Answer

A)  5m13  
B)  -2m6 + 5m4 - 12m3  
C)  65m 
D)  Cannot be simplified  
A)  5m13  
B)  -2m6 + 5m4 - 12m3  
C)  65m 
D)  Cannot be simplified

Question 5

Subtract.
-12a5 - 2a2

Accepted Answer

A)  16a5 + 15a2  
B)  8a5 - 19a2  
C)  -11a7  
D)  8a5 + 15a2  
A)  16a5 + 15a2  
B)  8a5 - 19a2  
C)  -11a7  
D)  8a5 + 15a2

Question 6

Choose the one alternative that best completes the statement or answers the question.Evaluate the expression.
--3-4

Accepted Answer

A)  -   
B)  81 
C)  -81 
D)    
A)  -   
B)  81 
C)  -81 
D)

Question 7

Choose the one alternative that best completes the statement or answers the question.Find the product.
-( -4x4y4)( -5x3y2)

Accepted Answer

A)  20xy6  
B)  20x6y7  
C)  20x7y6  
D)  20xy7  
A)  20xy6  
B)  20x6y7  
C)  20x7y6  
D)  20xy7

Question 8

Choose the one alternative that best completes the statement or answers the question.Find the product.
-( 15   - 25   + 30x)

Accepted Answer

A)  3   - 135   + 5   + 219   - 270x 
B)  15   - 25   + 6x + 9 
C)  3   + 135   - 5   - 219   + 270x 
D)  3   + 135   - 5   + 276x 
A)  3   - 135   + 5   + 219   - 270x 
B)  15   - 25   + 6x + 9 
C)  3   + 135   - 5   - 219   + 270x 
D)  3   + 135   - 5   + 276x

Question 9

Evaluate.
-

Accepted Answer

A)  27 
B)  -3 
C)  -27 
D)  3 
A)  27 
B)  -3 
C)  -27 
D)  3

Question 10

Identify the polynomial as a monomial, binomial, trinomial, or none of these. Give its degree
--6y8 - 2

Accepted Answer

A)  Binomial, degree 8 
B)  Binomial, degree 0 
C)  Monomial, degree -6 
D)  Binomial, degree 9 
A)  Binomial, degree 8 
B)  Binomial, degree 0 
C)  Monomial, degree -6 
D)  Binomial, degree 9

Question 11

Determine the number of terms and name the coefficients of the terms.
-5   - 2   - y

Accepted Answer

A)  2; 5, -2 
B)  3; 5, -2, -1 
C)  3; 5, -2, 1 
D)  3; 5, 2, 1 
A)  2; 5, -2 
B)  3; 5, -2, -1 
C)  3; 5, -2, 1 
D)  3; 5, 2, 1

Question 12

Identify the base and the exponent for the exponential expression.
-( -3)14

Accepted Answer

A)  Base: 14, exponent: -3 
B)  Base: -3, exponent: 14 
C)  Base: 3, exponent: 14 
D)  Base: 14, exponent: 3 
A)  Base: 14, exponent: -3 
B)  Base: -3, exponent: 14 
C)  Base: 3, exponent: 14 
D)  Base: 14, exponent: 3

Question 13

Choose the one alternative that best completes the statement or answers the question.Find the product.
-7x2 y( -9x6y + 6x3)

Accepted Answer

A)  -63x8y2 + 42x5  
B)  -63x8y2 + 42x5y 
C)  -63xy + 42x  
D)  -63x8y2 + 6x3  
A)  -63x8y2 + 42x5  
B)  -63x8y2 + 42x5y 
C)  -63xy + 42x  
D)  -63x8y2 + 6x3

Question 14

Use scientific notation to calculate the answer to the problem. Write the answer in scientific notation.
-

Accepted Answer

A)  6 ×   
B)  4.2 ×   
C)  6 ×   
D)  0.6 ×   
A)  6 ×   
B)  4.2 ×   
C)  6 ×   
D)  0.6 ×

Question 15

Use the power rules for exponents to simplify. Write the answer in exponential form.
-8

Accepted Answer

A)        
B)  8t   
C)  8     
D)  8r   
A)        
B)  8t   
C)  8     
D)  8r

Question 16

Use the product rule, if possible, to simplify the expression. Write the answer in exponential form.
-m3. m9 . m6

Accepted Answer

A)  m15  
B)  m12  
C)  m33  
D)  m18  
A)  m15  
B)  m12  
C)  m33  
D)  m18

Question 17

Perform the indicated operation. Write the answer in scientific notation.
-( 8.60 × 10-6)( 7.92 × 10-3)

Accepted Answer

A)  6.8 × 10-8  
B)  6.8 × 1018  
C)  6.81 × 10-8  
D)  6.81 × 1018  
A)  6.8 × 10-8  
B)  6.8 × 1018  
C)  6.81 × 10-8  
D)  6.81 × 1018

Question 18

Determine the number of terms and name the coefficients of the terms.
--9 x - 8 n - b

Accepted Answer

A)  3; -9, -8, -1 
B)  3; -9, 8, 1 
C)  3; 9, 8, -1 
D)  3; 9, -8, 1 
A)  3; -9, -8, -1 
B)  3; -9, 8, 1 
C)  3; 9, 8, -1 
D)  3; 9, -8, 1

Question 19

Choose the one alternative that best completes the statement or answers the question.Find the product.
-(-7y)(-7y2)

Accepted Answer

A)  49y3  
B)  -14y2  
C)  7y - 7y2  
D)  -49y3  
A)  49y3  
B)  -14y2  
C)  7y - 7y2  
D)  -49y3

Question 20

Choose the one alternative that best completes the statement or answers the question.Find the product.
--3x( -4x - 12)

Accepted Answer

A)  48x2  
B)  -4x2 + 36x 
C)  12x2 + 36x 
D)  12x2 - 12x 
A)  48x2  
B)  -4x2 + 36x 
C)  12x2 + 36x 
D)  12x2 - 12x

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

Determine whether or not the number is written in scientific notation -36.36 × 10⁵

Choose the one alternative that best completes the statement or answers the question -Determine if the expression ( -2)^-⁸ is positive or negative.

Add like terms, if possible, and write the result in descending powers of the variable. --10m⁶ + 12m⁴ - 12m³ + 8m⁶ - 7m⁴

Subtract. -12a⁵ - 2a²

Choose the one alternative that best completes the statement or answers the question.Evaluate the expression. --3^-⁴

Choose the one alternative that best completes the statement or answers the question.Find the product. -( -4x⁴y⁴)( -5x³y²)

Choose the one alternative that best completes the statement or answers the question.Find the product. -( 15 - 25 + 30x)

Evaluate. -

Identify the polynomial as a monomial, binomial, trinomial, or none of these. Give its degree --6y⁸ - 2

Determine the number of terms and name the coefficients of the terms. -5 - 2 - y

Identify the base and the exponent for the exponential expression. -( -3)¹⁴

Choose the one alternative that best completes the statement or answers the question.Find the product. -7x²y( -9x⁶y + 6x³)

Use scientific notation to calculate the answer to the problem. Write the answer in scientific notation. -

Use the power rules for exponents to simplify. Write the answer in exponential form. -8

Use the product rule, if possible, to simplify the expression. Write the answer in exponential form. -m³. m⁹ . m⁶

Perform the indicated operation. Write the answer in scientific notation. -( 8.60 × 10^-⁶)( 7.92 × 10^-³)

Determine the number of terms and name the coefficients of the terms. --9 x - 8 n - b

Choose the one alternative that best completes the statement or answers the question.Find the product. -(-7y)(-7y²)

Choose the one alternative that best completes the statement or answers the question.Find the product. --3x( -4x - 12)

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