Question 1

Perform the indicated operations and simplify.

Accepted Answer

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

Question 2

Use the rules of exponents to simplify the expression so that only positive exponents remain.

Accepted Answer

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

Question 3

Use the properties of exponents and radicals to determine the value for x that makes the equation true.

Accepted Answer

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

Question 4

In calculus problems, the answers are frequently expected to be in a simple form with a radical instead of an exponent. Write the expression with radicals.

Accepted Answer

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

Question 5

Use a calculator to approximate the indicated power. Round your answer to maximum decimal places.

Accepted Answer

A)  0.027681 
B)  -65.684239 
C)  36.12633 
D)  -36.126332 
E)  -0.027681 
A)  0.027681 
B)  -65.684239 
C)  36.12633 
D)  -36.126332 
E)  -0.027681

Question 6

Use the rules of exponents to simplify the expression.

Accepted Answer

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

Question 7

In calculus, it is frequently important to write an expression in the form , where c is a constant and n is a rational number. Write the expression in this form.

Accepted Answer

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

Question 8

Write the expression in radical form. Do not simplify.

Accepted Answer

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

Question 9

In many applications, it is often necessary to write expressions in the form , where c is a constant and n is an integer. Write the expression below in this form.

Accepted Answer

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

Question 10

Rewrite the radical with a fractional exponent.

Accepted Answer

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

Question 11

Perform the indicated operations and simplify.

Accepted Answer

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

Question 12

Use the rules of exponents to simplify the expression so that only positive exponents remain.

Accepted Answer

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

Question 13

Rationalize the denominator and then simplify.

Accepted Answer

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

Question 14

Rewrite the radical with a fractional exponent.

Accepted Answer

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

Question 15

If $P is invested for n years at rate i (as a decimal), compounded annually, the future value that accrues is given by , and the interest earned is Find S for the given P, n, and i. Round your answer to two decimal places.     $750 for 15 years at 10.25%

Accepted Answer

A)  $2491.46 
B)  $3573.71 
C)  $2940.10 
D)  $3991.46 
E)  $3241.46 
A)  $2491.46 
B)  $3573.71 
C)  $2940.10 
D)  $3991.46 
E)  $3241.46

Question 16

Use the rules of exponents to simplify the expression so that only positive exponents remain.

Accepted Answer

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

Question 17

Evaluate the following expression if it represents a real number.

Accepted Answer

A)    
B)    
C)    
D)  3 
E)    
A)    
B)    
C)    
D)  3 
E)

Question 18

If an investment has a goal (future value) of $S after n years, invested at interest rate i (as a decimal), compounded annually, then the present value P that must be invested is given by Find P for the given S, n, and i.   $80,000 after 20 years at 12.5%

Accepted Answer

A)  $7586.47 
B)  $2750.62 
C)  $8534.77 
D)  $9601.62 
E)  $5536.70 
A)  $7586.47 
B)  $2750.62 
C)  $8534.77 
D)  $9601.62 
E)  $5536.70

Question 19

Evaluate the expression.

Accepted Answer

A)  0 
B)  1 
C)  5 
D)    
E)  undefined 
A)  0 
B)  1 
C)  5 
D)    
E)  undefined

Question 20

If $P is invested for n years at rate i (as a decimal), compounded annually, the future value that accrues is given by , and the interest earned is Find I for the given P, n, and i. Round your answer to two decimal places.     $800 for 16 years at 9.75%

Accepted Answer

A)  $3544.56 
B)  $2744.56 
C)  $3090.16 
D)  $4344.56 
E)  $2429.67 
A)  $3544.56 
B)  $2744.56 
C)  $3090.16 
D)  $4344.56 
E)  $2429.67

Perform the indicated operations and simplify.

Use the rules of exponents to simplify the expression so that only positive exponents remain.

Use the properties of exponents and radicals to determine the value for x that makes the equation true.

In calculus problems, the answers are frequently expected to be in a simple form with a radical instead of an exponent. Write the expression with radicals.

Use a calculator to approximate the indicated power. Round your answer to maximum decimal places.

Use the rules of exponents to simplify the expression.

In calculus, it is frequently important to write an expression in the form , where c is a constant and n is a rational number. Write the expression in this form.

Write the expression in radical form. Do not simplify.

In many applications, it is often necessary to write expressions in the form , where c is a constant and n is an integer. Write the expression below in this form.

Rewrite the radical with a fractional exponent. $Rewrite the radical with a fractional exponent.$

Perform the indicated operations and simplify.

Use the rules of exponents to simplify the expression so that only positive exponents remain.

Rationalize the denominator and then simplify.

Rewrite the radical with a fractional exponent. $Rewrite the radical with a fractional exponent.$

If $P is invested for n years at rate i (as a decimal), compounded annually, the future value that accrues is given by , and the interest earned is Find S for the given P, n, and i. Round your answer to two decimal places. $750 for 15 years at 10.25%

Use the rules of exponents to simplify the expression so that only positive exponents remain.

Evaluate the following expression if it represents a real number.

If an investment has a goal (future value) of $S after n years, invested at interest rate i (as a decimal), compounded annually, then the present value P that must be invested is given by Find P for the given S, n, and i. $80,000 after 20 years at 12.5%

Evaluate the expression.

If $P is invested for n years at rate i (as a decimal), compounded annually, the future value that accrues is given by , and the interest earned is Find I for the given P, n, and i. Round your answer to two decimal places. $800 for 16 years at 9.75%

Linear Equations and Functions

Quadratic and Other Special Functions

Matrices

Inequalities and Linear Programming

Exponential and Logarithmic Functions

Mathematics of Finance

Introduction to Probability

Further Topics in Probability and Data Description

Derivatives

Derivatives

Derivatives Continued

Indefinite Integrals

Definite Integrals - Techniques

A: Definite Integrals - Techniques

Functions of Two or More Variables

Algebraic Concepts 2

Algebraic Concepts 3

Algebraic Concepts 5

Filters

Exam 15: Algebraic Concepts 4

Perform the indicated operations and simplify.

Use the rules of exponents to simplify the expression so that only positive exponents remain.

Use the properties of exponents and radicals to determine the value for x that makes the equation true.

In calculus problems, the answers are frequently expected to be in a simple form with a radical instead of an exponent. Write the expression with radicals.

Use a calculator to approximate the indicated power. Round your answer to maximum decimal places.

Use the rules of exponents to simplify the expression.

In calculus, it is frequently important to write an expression in the form , where c is a constant and n is a rational number. Write the expression in this form.

Write the expression in radical form. Do not simplify.

In many applications, it is often necessary to write expressions in the form , where c is a constant and n is an integer. Write the expression below in this form.

Rewrite the radical with a fractional exponent.

Perform the indicated operations and simplify.

Use the rules of exponents to simplify the expression so that only positive exponents remain.

Rationalize the denominator and then simplify.

Rewrite the radical with a fractional exponent.

If $P is invested for n years at rate i (as a decimal), compounded annually, the future value that accrues is given by , and the interest earned is Find S for the given P, n, and i. Round your answer to two decimal places. $750 for 15 years at 10.25%

Use the rules of exponents to simplify the expression so that only positive exponents remain.

Evaluate the following expression if it represents a real number.

If an investment has a goal (future value) of $S after n years, invested at interest rate i (as a decimal), compounded annually, then the present value P that must be invested is given by Find P for the given S, n, and i. $80,000 after 20 years at 12.5%

Evaluate the expression.

If $P is invested for n years at rate i (as a decimal), compounded annually, the future value that accrues is given by , and the interest earned is Find I for the given P, n, and i. Round your answer to two decimal places. $800 for 16 years at 9.75%

Linear Equations and Functions

Quadratic and Other Special Functions

Matrices

Inequalities and Linear Programming

Exponential and Logarithmic Functions

Mathematics of Finance

Introduction to Probability

Further Topics in Probability and Data Description

Derivatives

Derivatives

Derivatives Continued

Indefinite Integrals

Definite Integrals - Techniques

A: Definite Integrals - Techniques

Functions of Two or More Variables

Algebraic Concepts 2

Algebraic Concepts 3

Algebraic Concepts 5

Filters

Rewrite the radical with a fractional exponent. $Rewrite the radical with a fractional exponent.$

Rewrite the radical with a fractional exponent. $Rewrite the radical with a fractional exponent.$