Question 1

Find the product.

Accepted Answer

The answer of Find the product.  ...

Question 2

Simplify the expression. Assume all variables represent nonnegative numbers.

Accepted Answer

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

Question 3

Use a calculator to find decimal approximations for   and   Give answers to three decimal places, if necessary.   __________   __________

Accepted Answer

The answer of Use a calculator to find decimal approximations...

Question 4

Combine the following expressions. (Assume any variables under an even root are nonnegative.)

Accepted Answer

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

Question 5

The maximum speed ( v ) that an automobile can travel around a curve of radius r without skidding is given by the equation   where v is in miles per hour and r is measured in feet. What is the maximum speed a car can travel around a curve with a radius of 360 feet without skidding?

Accepted Answer

A)  The maximum speed is 180 mph. 
B)  The maximum speed is 25 mph. 
C)  The maximum speed is 12 mph. 
D)  The maximum speed is 90 mph. 
E)  The maximum speed is 30 mph. 
A)  The maximum speed is 180 mph. 
B)  The maximum speed is 25 mph. 
C)  The maximum speed is 12 mph. 
D)  The maximum speed is 90 mph. 
E)  The maximum speed is 30 mph.

Question 6

Simplify the expression. Remember, negative exponents give reciprocals.

Accepted Answer

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B)    
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D)    
E)    
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D)    
E)

Question 7

Use the properties of exponents to simplify the following as much as possible. Assume all bases are positive.

Accepted Answer

A)    
B)    
C)    
D)    
E)  none of these 
A)    
B)    
C)    
D)    
E)  none of these

Question 8

Multiply.

Accepted Answer

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B)    
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D)    
E)    
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D)    
E)

Question 9

Solve the equation.

Accepted Answer

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B)    
C)    
D)    
E)  All real numbers 
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B)    
C)    
D)    
E)  All real numbers

Question 10

Rectangle ACEF is a golden rectangle. If side AC is 4 inches, can the smaller rectangle BDEF also be a golden rectangle?

Accepted Answer

A)  Yes 
B)  No 
A)  Yes 
B)  No

Question 11

Use the definition of rational exponents to write the following with the appropriate root. Then simplify.

Accepted Answer

The answer of Use the definition of rational exponents to...

Question 12

Factor   from

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E)

Question 13

Multiply. (Assume the variable represents a nonnegative real number.)

Accepted Answer

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

Question 14

Find the quotient. Write the answer in standard form for complex numbers.

Accepted Answer

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

Question 15

Complex numbers may be applied to electrical circuits. Electrical engineers use the fact that resistance   to electrical flow of the electrical current   and the voltage   are related by the formula   . (Voltage is measured in volts, resistance in ohms, and current in amperes). Find the resistance to electrical flow in a circuit that has a voltage   volts and current   amps.

Accepted Answer

The answer of Complex numbers may be applied to electrical...

Question 16

Solve the equation.   x = __________

Accepted Answer

The answer of Solve the equation.   x =...

Question 17

Multiply. (Assume the variables represent nonnegative real numbers.)

Accepted Answer

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

Question 18

Multiply. (Assume the variables represent nonnegative real numbers.)

Accepted Answer

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

Question 19

Solve the equation. (Hint: square both sides of the equation twice to eliminate the radicals.)

Accepted Answer

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

Question 20

Find the following root, if possible.

Accepted Answer

The answer of Find the following root, if possible. ...

Find the product.

Simplify the expression. Assume all variables represent nonnegative numbers.

Use a calculator to find decimal approximations for and Give answers to three decimal places, if necessary.

Combine the following expressions. (Assume any variables under an even root are nonnegative.)

The maximum speed ( v ) that an automobile can travel around a curve of radius r without skidding is given by the equation where v is in miles per hour and r is measured in feet. What is the maximum speed a car can travel around a curve with a radius of 360 feet without skidding?

Simplify the expression. Remember, negative exponents give reciprocals.

Use the properties of exponents to simplify the following as much as possible. Assume all bases are positive.

Multiply.

Solve the equation.

Rectangle ACEF is a golden rectangle. If side AC is 4 inches, can the smaller rectangle BDEF also be a golden rectangle?

Use the definition of rational exponents to write the following with the appropriate root. Then simplify.

Factor from

Multiply. (Assume the variable represents a nonnegative real number.)

Find the quotient. Write the answer in standard form for complex numbers.

Solve the equation. x = __________

Multiply. (Assume the variables represent nonnegative real numbers.)

Multiply. (Assume the variables represent nonnegative real numbers.)

Solve the equation. (Hint: square both sides of the equation twice to eliminate the radicals.)

Find the following root, if possible.

Notation and Symbols

Simplifying Expressions

Paired Data and Graphing Ordered Pairs

Multiplication With Exponents

The Greatest Common Factor and Factoring by Grouping

Reducing Rational Expressions to Lowest Terms

Review of Solving Equations

The Slope of a Line

Completing the Square

Exponential Functions

The Circle

Sequences

Filters

Exam 9: Rational Exponents

Find the product.

Simplify the expression. Assume all variables represent nonnegative numbers.

Use a calculator to find decimal approximations for and Give answers to three decimal places, if necessary. __________ __________

Combine the following expressions. (Assume any variables under an even root are nonnegative.)

The maximum speed ( v ) that an automobile can travel around a curve of radius r without skidding is given by the equation where v is in miles per hour and r is measured in feet. What is the maximum speed a car can travel around a curve with a radius of 360 feet without skidding?

Simplify the expression. Remember, negative exponents give reciprocals.

Use the properties of exponents to simplify the following as much as possible. Assume all bases are positive.

Multiply.

Solve the equation.

Rectangle ACEF is a golden rectangle. If side AC is 4 inches, can the smaller rectangle BDEF also be a golden rectangle?

Use the definition of rational exponents to write the following with the appropriate root. Then simplify.

Factor from

Multiply. (Assume the variable represents a nonnegative real number.)

Find the quotient. Write the answer in standard form for complex numbers.

Solve the equation. x = __________

Multiply. (Assume the variables represent nonnegative real numbers.)

Multiply. (Assume the variables represent nonnegative real numbers.)

Solve the equation. (Hint: square both sides of the equation twice to eliminate the radicals.)

Find the following root, if possible.

Notation and Symbols

Simplifying Expressions

Paired Data and Graphing Ordered Pairs

Multiplication With Exponents

The Greatest Common Factor and Factoring by Grouping

Reducing Rational Expressions to Lowest Terms

Review of Solving Equations

The Slope of a Line

Completing the Square

Exponential Functions

The Circle

Sequences

Filters

Use a calculator to find decimal approximations for and Give answers to three decimal places, if necessary.