Question 1

A crystal ball with a diameter of 12 inches is being packaged for shipment. If the crystal ball is placed inside a circular cylinder with radius 6 inches and height 12 inches, how much volume will need to be filled with padding? (The volume of a sphere with radius r is  , and the volume of a right circular cylinder with radius r and height h is  .)

Accepted Answer

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E)

Question 2

Divide. Assume all variables represent positive numbers.

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Question 3

Divide the polynomial by  .

Accepted Answer

The answer of Divide the polynomial by  . ...

Question 4

Write the number in scientific notation.

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E)

Question 5

Multiply.

Accepted Answer

The answer of Multiply. ...

Question 6

Simplify.

Accepted Answer

The answer of Simplify. ...

Question 7

Divide. Write the answer with positive exponents only.

Accepted Answer

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D)   
E)

Question 8

Divide the expression by  .

Accepted Answer

The answer of Divide the expression by  . ...

Question 9

Perform the indicated operations.

Accepted Answer

The answer of Perform the indicated operations. ...

Question 10

Simplify.

Accepted Answer

The answer of Simplify. ...

Question 11

Given the polynomial.  Identify the polynomial. __________ Give the degree. __________

Accepted Answer

The answer of Given the polynomial.  Identify the polynomial....

Question 12

The displacement, in cubic inches, of a car engine is given by the formula  where s is the stroke and b is the bore, as shown in the figure, and c is the number of cylinders. Calculate the engine displacement for the Mitsubishi Eclipse: 6 cylinders, 3.59 inches of bore, 2.99 inches of stroke. Use 3.14 to approximate  . Please round the answer to the nearest whole.

Accepted Answer

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Question 13

Multiply.

Accepted Answer

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B)   
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D)   
E)

Question 14

Combine the terms.

Accepted Answer

The answer of Combine the terms. ...

Question 15

Write an expression for the sum of the squares of two consecutive integers. Simplify the expression.

Accepted Answer

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B)   
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D)   
E)

Question 16

Given the polynomial.  Identify the polynomial. __________ Give the degree. __________

Accepted Answer

The answer of Given the polynomial.  Identify the polynomial....

Question 17

Multiply binomials using the COLUMN method.

Accepted Answer

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D)   
E)

Question 18

Multiply binomials using the FOIL method.

Accepted Answer

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Question 19

Simplify the expression.

Accepted Answer

The answer of Simplify the expression. ...

Question 20

Perform the division (find the quotient).

Accepted Answer

The answer of Perform the division (find the quotient). ...

Exam 4: Multiplication With Exponents

Divide. Assume all variables represent positive numbers.

Divide the polynomial by .

Write the number in scientific notation.

Multiply.

Simplify.

Divide. Write the answer with positive exponents only.

Divide the expression by .

Perform the indicated operations.

Simplify.

Given the polynomial. Identify the polynomial. Give the degree.

Multiply.

Combine the terms.

Write an expression for the sum of the squares of two consecutive integers. Simplify the expression.

Given the polynomial. Identify the polynomial. Give the degree.

Multiply binomials using the COLUMN method.

Multiply binomials using the FOIL method.

Simplify the expression.

Perform the division (find the quotient).