Optional video on how to simplify a rational expression:
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Question 1
1.
Consider the expression below. Use it to match the correct response(s) from the left with each item on the right.
Hint: The first step is to factor the denominator: x^2-x = x(x-1)
x ≠ -1
x ≠ 0
x ≠ 1
x ≠ 2
What is the sum of the two rational expressions in simplest form?
Identify any restriction(s) on the variable.
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Question 2
2.
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Question 3
3.
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Question 4
4.
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Question 5
5.
Consider the expression below. Use it to match the correct response(s) from the left with each item on the right.
x ≠ -3
x ≠ -2
x ≠ 0
x ≠ 2
x ≠ 3
What is the quotient in simplest form?
Identify any restriction(s) on the variable.
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Question 6
6.
…
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Question 7
7.
That's a division symbol. Remember Keep, Change, Flip!
…
Optional video on how to solve a rational equation:
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Question 8
8.
Solve the equation:
Check your answers against the restrictions!
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Question 9
9.
Solve the equation:
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Question 10
10.
Solve the equation:
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Question 11
11.
Solve the equation:
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Question 12
12.
Ryan can wash the dishes in 30 minutes, while it takes Blake 45 minutes to wash the dishes. They decide to compromise and wash the dishes together. #couplegoals
How long will it take them to wash the dishes? Make sure to include units in your answer.
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Question 13
13.
Gabby and Hanna are making 200 signs for the Carlsbad marathon to hang up around town. Gabby can make 1 sign every 4 minutes, and Hanna can make 1 sign every 3 minutes. How long will it take them to make all 200 signs if they work together?
