Rational Expressions & Equations

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| By Mathwoman

Mathwoman

Community Contributor

Quizzes Created: 2 | Total Attempts: 910

Questions: 6 | Attempts: 538 | Updated: Mar 21, 2023

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Do you think that you achieved the SLO 5 & 6, for rational expressions and equations section?
Take this quiz and find out.
Instructions: you will answer several questions in different formats regarding rational expressions and equations. Please read carefully the problems and answer the questions asked.

Questions and Answers

1.

The simplification of the above rational expression is:
- A.
  
  2x-5
- B.
  
  1
- C.
  
  (x-1)/(x-5)
- D.
  
  Undefined
- E.
  
  No solution
Correct Answer
C. (x-1)/(x-5)

Explanation
Factor numerator and denominator and then simply common factors if it is possible.

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2.

The solution for this equation is:

Correct Answer
x=10
10

Explanation
The substitution of 10 in the equation provides a true statement, therefore the number is a solution.

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4
3.

The LCD for these rational expressions is:
- A.
  
  (x+1)(x-1)
- B.
  
  5(x-1)(x+1)
- C.
  
  5(x-1)(x-1)(x+1)
- D.
  
  5(x-1)(x-1)
- E.
  
  None of the above
Correct Answer
C. 5(x-1)(x-1)(x+1)

Explanation
The LCD is the product of all factors, in the comparing denominators, with the highest number of repetitions.

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4.

The result of subtracting these two rational expressions is:

Correct Answer
3/(y+5)
3/(5+y)

Explanation
Same denominator, do the operation in the top and keep common denominator, and then simplify common factors if it is posssible.

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0
4 1
5.

A semi-truck travels 300 miles through the flatland in the same amount of time that it travels 180 miles through mountains . The rate of the truck is 20 miles per hour slower in the mountains than in the flatland. The flatland rate is 30mph
- A.
  
  True
- B.
  
  False
Correct Answer
B. False

Explanation
This problem will be discussed in class.

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6.

Please write down the students learning outcome for this section.Hint: there are only two.

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Current Version
Mar 21, 2023

Quiz Edited by
ProProfs Editorial Team
Sep 03, 2010

Quiz Created by
Mathwoman

Rational Expressions & Equations

The simplification of the above rational expression is:

The solution for this equation is:

The LCD for these rational expressions is:

The result of subtracting these two rational expressions is:

A semi-truck travels 300 miles through the flatland in the same amount of time that it travels 180 miles through mountains . The rate of the truck is 20 miles per hour slower in the mountains than in the flatland. The flatland rate is 30mph

Please write down the students learning outcome for this section.Hint: there are only two.