Simplifying Rational Expressions
In the following problems, select the simplified form from these rational expressions. State the letter of the correct answer.
Hint: For question 1-3, first factor numerator and denominator. Cancel common factors.
|
 |
|
| |
| 1) Which expression is the simplified form for the given rational expression? Click here to view the choices. |
 |
4000 character(s) left
Your answer is too long. |
|
| |
|
| |
|
| |
|
Multiplying and Dividing Rational Expressions
|
|
|
| |
| |
|
| |
|
Hint: For question 6-8, first factor all numerators and denominators if possible. Cancel common factors.
|
|
|
| |
| |
|
| |
|
| |
|
| |
|
| |
|
Adding and Subtracting Rational Expressions
In the following problems, select the simplified form from these rational expressions. State the letter of the correct answer.
Hint: To add and subtract rational expressions, you must have a common denominator. If you do, just add the numerators together and keep the common denominator.
|
 |
|
| |
| |
|
| 12) Which expression is the simplified form of the difference of the given rational expressions? Click here to view the choices.
|
 |
20000 character(s) left
Your answer is too long. |
|
|
Attachments |
|
| |
|
| |
|
| |
|
| |
|
Solving Rational Equations
In the following problems, find all excluded values for the denominator, and then solve the equation.
Hint: To solve rational equations: a) find all excluded values by factoring the denominator and setting all factors equal to zero and solving for the variable. b) find the LCD and multiply all terms by the LCD to eliminate fractions c) solve the equation and check your answer.
|
|
|
| |
| 17) What are the excluded values of the solution? What is the solution for “x”?
|
 |
|
|
| |
|
| 18) What are the excluded values of the solution? What is the solution for “x”?
|
 |
|
|
| |
|
| 19) What are the excluded values of the solution? What is the solution for “x”?
|
 |
|
|
| |
|
| 20) What are the excluded values of the solution? What is the solution for “x”?
|
 |
|
|
| |
|
| 21) A cyclist rode the first 20 mile portion of his workout at a constant speed. For the 16 mile cool-down portion of his workout, he reduced his speed by 2 miles per hour. Each portion of the workout took the same time. Find the cyclist's speed during the first portion and find his speed during the cool-down portion.
|
 |
4000 character(s) left
Your answer is too long. |
|
| |
|
| 22) Working together, two pipes can fill a swimming pool in 4 hours. Working alone the larger pipe can fill the pool in 6 hours. How many hours would it take the smaller pipe working alone to fill the swimming pool.
|
Portion of job completed by
1st person
|
+
|
Portion of job completed by
2nd person
|
=
|
1 (one completed job)
|
|
|
250 character(s) left
Your answer is too long. |
|
| |
|
| |
| |
|
| |
|
| 25) Find and state the inverse of the function, and also state whether the inverse is a function.
Click here to review the unit content explanation for Functions and Inverses of Functions.
|
 |
4000 character(s) left
Your answer is too long. |
|
| |
|
| 26) Find and state the inverse of the function, and also state whether the inverse is a function.
Click here to review the unit content explanation for Functions and Inverses of Functions.
|
 |
4000 character(s) left
Your answer is too long. |
|
| |
|
| 27) Perform the indicated operation.
Click here to review the unit content explanation for Complex Numbers.
|
 |
4000 character(s) left
Your answer is too long. |
|
| |
|
| 28) Perform the indicated operation.
Click here to review the unit content explanation for Complex Numbers.
|
 |
4000 character(s) left
Your answer is too long. |
|
| |
|
| 29) Write the expression as a single logarithm, and then evaluate.
Click here to review the unit content explanation for Logarithmic Functions.
|
 |
|
|
| |
|
| 30) Write the expression as a single logarithm, and then evaluate.
Click here to review the unit content explanation for Logarithmic Functions.
|
 |
|
|
| |
|
| 31) Extended Learning
Watch the following video, then write a five-sentence paragraph summarizing the video.
|
|
20000 character(s) left
Your answer is too long. |
|
|
Attachments |
|
| 32) If you were directed by your school to complete Offline Activities for this course, please enter the information on the Log Entry form. |
|
| No offline activities found |
0 Hour(s) & 0 Minute(s)
|
|
|
Attachments |
|