Question 1

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

Accepted Answer

A)  49r 
B)  7r 
C)   
D)  49

Question 2

Find the value of the polynomial.
-3  + 10x + 7 when x = -4

Accepted Answer

A)  -45 
B)  11 
C)  15 
D)  5

Question 3

Find the product.
-2x( 3x + 1)( 2x - 3)

Accepted Answer

A)  12  + 14  - 6x 
B)  2x( 6  - 7x - 3) 
C)  12  - 14x - 6 
D)  12  - 14  - 6x

Question 4

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

Accepted Answer

A)   
B)   
C)   
D)

Question 5

Choose the one alternative that best completes the statement or answers the question.Evaluate the expression.
-( -4)0 + ( -15)0

Accepted Answer

A)  0 
B)  -19 
C)  2 
D)  -2

Question 6

Write the word or phrase that best completes each statement or answers the question.Provide an appropriate response.
-The polynomial 10 aS1U1P14S1S1P0 is called a ____________ ?

Accepted Answer

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

Question 7

Determine the number of terms and name the coefficients of the terms.
-

Accepted Answer

A)  0 
B)  1; 0 
C)  1; 4 
D)  1; 1

Question 8

Write the word or phrase that best completes each statement or answers the question.Provide an appropriate response. -Explain how ( -8x)⁸ and -8x⁸ are different.

Accepted Answer

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

Question 9

Perform the indicated operation. Write the answer in scientific notation.
-( 4 ×  )( 9 ×  )

Accepted Answer

A)  36 ×  
B)  3.6 ×  
C)  3.6 ×  
D)  36 ×

Question 10

Find the product.
-( 3r + 4t)4

Accepted Answer

A)  81r4 + 432r3t + 864r2t2 + 432rt3 + 256t4  
B)  81r4 + 432r3t + 864r2t2 + 768rt3 + 256t4  
C)  81r4 + 3r3t + 432r2t2 + 432rt3 + 256t4  
D)  81r4 + 81r3t + 864r2t2 + 864rt3 + 256t4

Question 11

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

Accepted Answer

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

Question 12

Subtract.
-( -4x2 + 6x4 - 7 - 8x3) - ( -2 + 2x3 + 3x4 - 6x2)

Accepted Answer

A)  9x4 - 6x3 - 10x2 - 5 
B)  3x4 - 10x3 + 2x2 - 5 
C)  3x4 - 6x3 - 10x2 - 9 
D)  9x4 - 6x3 - 10x2 - 9

Question 13

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

Accepted Answer

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

Question 14

Solve the problem. Express the answer in scientific notation to two decimals.
-If the distance from the earth to the sun were 82,000,000 miles. How long would it take a rocket, traveling at 2 × 103 miles per hour, to reach the sun? (Round to three places)

Accepted Answer

A)  4.1 × 103 hr 
B)  4.1 × 102 hr 
C)  4.1 × 104 hr 
D)  4.1 hr

Question 15

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 company produces 332,000 small appliances in one year.

Accepted Answer

A)  33.2 × 104  
B)  3.32 × 10-5  
C)  3.32 × 106  
D)  3.32 × 105

Question 16

Perform the indicated operation. Write the answer in scientific notation.
-

Accepted Answer

A)  6 × 101  
B)  6 × 1011  
C)  3.0 × 101  
D)  3.0 × 1011

Question 17

Perform the division.
-(p2 + 3p - 6) ÷ (p + 5)

Accepted Answer

A)  p - 2 +  
B)  p - 4 +  
C)  p - 2   
D)  p + 2 +

Question 18

Write the word or phrase that best completes each statement or answers the question.Provide an appropriate response. -Is it correct to simplify 4² ∙ 2⁴ as 8⁸?

Accepted Answer

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

Question 19

Solve the problem. Express the answer in scientific notation to two decimals.
-Assume that the volume of the earth is 5 × 1014 cubic meters and the volume of a bacterium is  cubic meters. If the earth could be filled with bacteria, how many would it contain?

Accepted Answer

A)  5.0 × 1031 bacteria 
B)  2.0 × 10-30 bacteria 
C)  5.0 × 10-31 bacteria 
D)  2.0 × 1030 bacteria

Question 20

Perform the indicated operation.
-( 3x7 + 6x9 - 1) + ( -6x8 - 2) - ( 2x8 + 4x9 + 9x7)

Accepted Answer

A)  2x9 - 4x8 + 12x7 + 1 
B)  2x9 - 8x8 - 6x7 - 3 
C)  10x9 - 4x8 + 12x7 + 1 
D)  10x9 - 4x8 + 12x7 - 3

Exam 6: Factoring and Applications

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

Find the value of the polynomial. -3 + 10x + 7 when x = -4

Find the product. -2x( 3x + 1) ( 2x - 3)

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

Choose the one alternative that best completes the statement or answers the question.Evaluate the expression. -( -4) ⁰ + ( -15) ⁰

Write the word or phrase that best completes each statement or answers the question.Provide an appropriate response. -The polynomial 10 a⁴ is called a ____________ ?

Determine the number of terms and name the coefficients of the terms. -

Write the word or phrase that best completes each statement or answers the question.Provide an appropriate response. -Explain how ( -8x)⁸ and -8x⁸ are different.

Perform the indicated operation. Write the answer in scientific notation. -( 4 × ) ( 9 × )

Find the product. -( 3r + 4t) ⁴

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

Subtract. -( -4x² + 6x⁴ - 7 - 8x³) - ( -2 + 2x³ + 3x⁴ - 6x²)

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

Solve the problem. Express the answer in scientific notation to two decimals. -If the distance from the earth to the sun were 82,000,000 miles. How long would it take a rocket, traveling at 2 × 10³ miles per hour, to reach the sun? (Round to three places)

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 company produces 332,000 small appliances in one year.

Perform the indicated operation. Write the answer in scientific notation. -

Perform the division. -(p² + 3p - 6) ÷ (p + 5)

Write the word or phrase that best completes each statement or answers the question.Provide an appropriate response. -Is it correct to simplify 4² ∙ 2⁴ as 8⁸?

Solve the problem. Express the answer in scientific notation to two decimals. -Assume that the volume of the earth is 5 × 10¹⁴ cubic meters and the volume of a bacterium is cubic meters. If the earth could be filled with bacteria, how many would it contain?

Perform the indicated operation. -( 3x⁷ + 6x⁹ - 1) + ( -6x⁸ - 2) - ( 2x⁸ + 4x⁹ + 9x⁷)

Exam 6: Factoring and Applications

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

Find the value of the polynomial. -3 + 10x + 7 when x = -4

Find the product. -2x( 3x + 1) ( 2x - 3)

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

Choose the one alternative that best completes the statement or answers the question.Evaluate the expression. -( -4) 0 + ( -15) 0

Write the word or phrase that best completes each statement or answers the question.Provide an appropriate response. -The polynomial 10 a4 is called a ____________ ?

Determine the number of terms and name the coefficients of the terms. -

Write the word or phrase that best completes each statement or answers the question.Provide an appropriate response. -Explain how ( -8x)8 and -8x8 are different.

Perform the indicated operation. Write the answer in scientific notation. -( 4 × ) ( 9 × )

Find the product. -( 3r + 4t) 4

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

Subtract. -( -4x2 + 6x4 - 7 - 8x3) - ( -2 + 2x3 + 3x4 - 6x2)

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

Solve the problem. Express the answer in scientific notation to two decimals. -If the distance from the earth to the sun were 82,000,000 miles. How long would it take a rocket, traveling at 2 × 103 miles per hour, to reach the sun? (Round to three places)

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 company produces 332,000 small appliances in one year.

Perform the indicated operation. Write the answer in scientific notation. -

Perform the division. -(p2 + 3p - 6) ÷ (p + 5)

Write the word or phrase that best completes each statement or answers the question.Provide an appropriate response. -Is it correct to simplify 42 ∙ 24 as 88?

Solve the problem. Express the answer in scientific notation to two decimals. -Assume that the volume of the earth is 5 × 1014 cubic meters and the volume of a bacterium is cubic meters. If the earth could be filled with bacteria, how many would it contain?

Perform the indicated operation. -( 3x7 + 6x9 - 1) + ( -6x8 - 2) - ( 2x8 + 4x9 + 9x7)

Choose the one alternative that best completes the statement or answers the question.Evaluate the expression. -( -4) ⁰ + ( -15) ⁰

Write the word or phrase that best completes each statement or answers the question.Provide an appropriate response. -The polynomial 10 a⁴ is called a ____________ ?

Write the word or phrase that best completes each statement or answers the question.Provide an appropriate response. -Explain how ( -8x)⁸ and -8x⁸ are different.

Find the product. -( 3r + 4t) ⁴

Subtract. -( -4x² + 6x⁴ - 7 - 8x³) - ( -2 + 2x³ + 3x⁴ - 6x²)

Solve the problem. Express the answer in scientific notation to two decimals. -If the distance from the earth to the sun were 82,000,000 miles. How long would it take a rocket, traveling at 2 × 10³ miles per hour, to reach the sun? (Round to three places)

Perform the division. -(p² + 3p - 6) ÷ (p + 5)

Write the word or phrase that best completes each statement or answers the question.Provide an appropriate response. -Is it correct to simplify 4² ∙ 2⁴ as 8⁸?

Solve the problem. Express the answer in scientific notation to two decimals. -Assume that the volume of the earth is 5 × 10¹⁴ cubic meters and the volume of a bacterium is cubic meters. If the earth could be filled with bacteria, how many would it contain?

Perform the indicated operation. -( 3x⁷ + 6x⁹ - 1) + ( -6x⁸ - 2) - ( 2x⁸ + 4x⁹ + 9x⁷)