Question 1

Compute and simplify so that only positive exponents remain.   ​   ​

Accepted Answer

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Question 2

Factor the expression completely. ​   ​

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Question 3

Rationalize the denominator and then simplify. ​   ​

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Question 4

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. Round your answer to two decimal places. ​
$95,000 after 25 years at 8.5%
​

Accepted Answer

A) $12,358.91 
B) $2,890.4 
C) $13,409.42 
D) $14,549.22 
E) $10,309.82 
A) $12,358.91 
B) $2,890.4 
C) $13,409.42 
D) $14,549.22 
E) $10,309.82

Question 5

Factor the expression completely. ​   ​

Accepted Answer

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Question 6

Name the type of interval shown in the graph below.

Accepted Answer

A) open interval interval 
B) closed interval interval 
C) half-open interval interval 
A) open interval interval 
B) closed interval interval 
C) half-open interval interval

Question 7

Factor by grouping.   ​

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Question 8

What is the constant term in the polynomial below? ​   ​

Accepted Answer

A) 0 
B) 5 
C) 2 
D) -7 
E) 4 
A) 0 
B) 5 
C) 2 
D) -7 
E) 4

Question 9

Perform the indicated operations and simplify. ​   ​

Accepted Answer

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Question 10

Factor the following expression for the maximum power in a certain electrical circuit. ​   ​

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Question 11

Perform the indicated operations and simplify. ​   ​

Accepted Answer

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Question 12

When medicine is administered, the reaction (measured in change of blood pressure or temperature) can be modeled by (that is, described by)   , where   is a positive constant and   is the amount of medicine absorbed into the blood. Factor the expression for the reaction.

Accepted Answer

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Question 13

Rationalize the denominator and then simplify. ​   ​

Accepted Answer

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Question 14

A polynomial is an expression of form   , where   is a positive integer. For the polynomial   what is   ?
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Accepted Answer

A) 0 
B) 11 
C) -9 
D) -12 
E) 4 
A) 0 
B) 11 
C) -9 
D) -12 
E) 4

Question 15

Factor the expression completely. ​   ​

Accepted Answer

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Question 16

The Richter scale reading for an earthquake measures its intensity (as a multiple of some minimum intensity used for comparison). The intensity I corresponding to a Richter scale reading R is given by   . Find the intensity of a quake measuring 5.5 rounded to the nearest integer. ​

Accepted Answer

A) 316,228 
B) 25,329,516 
C) 562 
D) 5,033 
E) 24 
A) 316,228 
B) 25,329,516 
C) 562 
D) 5,033 
E) 24

Question 17

Rewrite the following so that only the positive exponents remain, and then simplify. ​   ​

Accepted Answer

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Question 18

Evaluate the following expression. ​   ​

Accepted Answer

A) 10 
B) -6 
C) 4 
D) -4 
E) 5 
A) 10 
B) -6 
C) 4 
D) -4 
E) 5

Question 19

Use the fact that the quantity of a radioactive substance after t years is given by   where   is the original amount of radioactive material and k is its half-life (the number of years it takes for half the radioactive substance to decay). The half-life of strontium-90 is 25 years. Find the amount of strontium-90 remaining after 7 years if   . Round your answer to one decimal place.
​

Accepted Answer

A) 8.1 kg 
B) 79.1 kg 
C) 5.8 kg 
D) 116.6 kg 
E) 0.8 kg 
A) 8.1 kg 
B) 79.1 kg 
C) 5.8 kg 
D) 116.6 kg 
E) 0.8 kg

Question 20

A company's average cost per unit when   units are produced is defined to be   . Suppose a company's average costs are given by   . Express the average cost as a single fraction. ​

Accepted Answer

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Compute and simplify so that only positive exponents remain.

Factor the expression completely.

Rationalize the denominator and then simplify.

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. Round your answer to two decimal places. $95,000 after 25 years at 8.5%

Factor the expression completely.

Name the type of interval shown in the graph below.

Factor by grouping.

What is the constant term in the polynomial below?

Perform the indicated operations and simplify.

Factor the following expression for the maximum power in a certain electrical circuit.

Perform the indicated operations and simplify.

When medicine is administered, the reaction (measured in change of blood pressure or temperature) can be modeled by (that is, described by) , where is a positive constant and is the amount of medicine absorbed into the blood. Factor the expression for the reaction.

Rationalize the denominator and then simplify.

A polynomial is an expression of form , where is a positive integer. For the polynomial what is ?

Factor the expression completely.

The Richter scale reading for an earthquake measures its intensity (as a multiple of some minimum intensity used for comparison). The intensity I corresponding to a Richter scale reading R is given by . Find the intensity of a quake measuring 5.5 rounded to the nearest integer.

Rewrite the following so that only the positive exponents remain, and then simplify.

Evaluate the following expression.

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; Data Description

Derivatives

Applications of Derivatives

Derivatives Continued

Indefinite Integrals

Definite Integrals: Techniques of Integration

Functions of Two or More Variables

Filters

Exam 1: Algebraic Concepts

Compute and simplify so that only positive exponents remain. ​ ​

Factor the expression completely. ​ ​

Rationalize the denominator and then simplify. ​ ​

Factor the expression completely. ​ ​

Name the type of interval shown in the graph below.

Factor by grouping. ​

What is the constant term in the polynomial below? ​ ​

Perform the indicated operations and simplify. ​ ​

Factor the following expression for the maximum power in a certain electrical circuit. ​ ​

Perform the indicated operations and simplify. ​ ​

When medicine is administered, the reaction (measured in change of blood pressure or temperature) can be modeled by (that is, described by) , where is a positive constant and is the amount of medicine absorbed into the blood. Factor the expression for the reaction.

Rationalize the denominator and then simplify. ​ ​

A polynomial is an expression of form , where is a positive integer. For the polynomial what is ? ​

Factor the expression completely. ​ ​

The Richter scale reading for an earthquake measures its intensity (as a multiple of some minimum intensity used for comparison). The intensity I corresponding to a Richter scale reading R is given by . Find the intensity of a quake measuring 5.5 rounded to the nearest integer. ​

Rewrite the following so that only the positive exponents remain, and then simplify. ​ ​

Evaluate the following expression. ​ ​

A company's average cost per unit when units are produced is defined to be . Suppose a company's average costs are given by . Express the average cost as a single fraction. ​

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; Data Description

Derivatives

Applications of Derivatives

Derivatives Continued

Indefinite Integrals

Definite Integrals: Techniques of Integration

Functions of Two or More Variables

Filters

Compute and simplify so that only positive exponents remain.

Factor the expression completely.

Rationalize the denominator and then simplify.

Factor the expression completely.

Factor by grouping.

What is the constant term in the polynomial below?

Perform the indicated operations and simplify.

Factor the following expression for the maximum power in a certain electrical circuit.

Perform the indicated operations and simplify.

Rationalize the denominator and then simplify.

A polynomial is an expression of form , where is a positive integer. For the polynomial what is ?

Factor the expression completely.

The Richter scale reading for an earthquake measures its intensity (as a multiple of some minimum intensity used for comparison). The intensity I corresponding to a Richter scale reading R is given by . Find the intensity of a quake measuring 5.5 rounded to the nearest integer.

Rewrite the following so that only the positive exponents remain, and then simplify.

Evaluate the following expression.