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Question 1 Which is an example of a rational expression? A. ½ B. 5 C. D. None of the above

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Incorrect Think about what a rational expression needs to have in it. Try again!

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Incorrect

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Correct! Next Question!

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Incorrect Try again, there is one listed. Try again!

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Question 2 When simplifying rational expressions, we can only can out _____________________. A. Factors B. Terms C. Variables D. Coefficients

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Correct! Move on to the next question

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Incorrect Terms are separated by addition and subtraction. Remember that division can only undo multiplication. Try again. Try again

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Incorrect We may be able to cancel out variables if they are written using multiplication. Try again

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Incorrect We can try to simplify or reduce coefficients, as long as they are written with multiplication. Try again

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Question 3 Simplify the expression A. B. C. Cannot be simplified D.

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Incorrect Check where the 2x was located before you cancelled anything. Try again

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Incorrect Remember to cancel out any variables that you can Try again

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Incorrect There is a way to reduce the coefficients and cancel out some variables Try again

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Correct Next question please!

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Question 4 Simplify the expression A. B. C. D. Cannot be simplified

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Incorrect Check again. You can only cancel out factors (things attached with multiplication). Is the x in the top a factor? Try again

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Incorrect Check again. You can only cancel out factors (things attached with multiplication). Is the x in the top a factor? Try again

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Incorrect Where did the x on bottom go? Try again

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Correct! Try the next question!

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Question 5 Simplify the expression A. B. C. D.

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Incorrect Check the way that you factored the bottom Try again!

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Correct Good work! Next question!

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Incorrect Check the number of factors that you can cancel in this problem. Try again!

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Incorrect Did you forget to factor? Try again!

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Question 6 Simplify the expression A. B. C. D.

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Incorrect Did you use the kick out method? Remember that this doesn’t work if you have a GCF… Try again

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Incorrect You’re missing some factors… Did you have any GCFs? Try again

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Correct Now let’s try some multiplication!

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Incorrect Did everything else cancel? Try again

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Question 7 Simplify the expression A. B. C. D.

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Incorrect You forgot to simplify Try again

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Incorrect Check to see if you had the same number of x’s in the top and bottom. If not, they won’t all cancel out Try again

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Correct! Now let’s try division!

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Incorrect You can simplify like this if you’d like. However, you still need to do the multiplication Try again

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Question 8 Simplify the expression A. B. C. D.

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Incorrect You multiplied straight across. This is a division problem so you can’t multiply right away. Try again

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Correct! Nice job! Next question. Nice job! Next question

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Incorrect You are right so far… now you need to simplify. Try again

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Incorrect You multiplied the top and bottom by 7x. Try again

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Question 9 Simplify the expression A. B. C. D. I need a hint!

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Correct Muy bien!

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Incorrect You need to factor the top and bottom and simplify Try again

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Incorrect Can you factor anything else and simplify even more? Try again

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Here’s a hint… Factor each part first. Now multiply across (don’t distribute) and cancel out common factors. Try again

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Question 10 Simplify the expression A. B. C. D.

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Incorrect You tried to multiply the bottom, you need to keep it factored and cancel out common factors. Try again

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Incorrect Don’t forget to simplify! Try again

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Incorrect Can you cancel out the x’s here? Try again

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Correct WOO! Next question!

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Question 11 Simplify the expression A. B. C. D.

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Incorrect Check your denominator Try again

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Correct Good work! Only a few more questions!

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Incorrect You’re on the right track. Keep simplifying Try again

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Incorrect You can only cross multiply across an equal sign. Try again

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Question 12 Simplify the expression A. B. C. D.

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Incorrect You can’t add straight across Try again

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Incorrect You forgot to multiply the numerators when you were getting a common denominator Try again

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Incorrect Don’t forget to simplify Try again

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Correct Try the next question

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Question 13 Simplify the expression A. B. C. D.

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Incorrect You got a common denominator by adding to the top and bottom. This will change the fraction. Try multiplying by something Try again!

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Incorrect You are half way there. Keep going! Try again!

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Incorrect You cancelled out more than you should have. Try again!

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Correct Only one more question!

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Question 14 Simplify the expression A. B. C. D.

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Correct! Awesome! Turn your paper in!

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Incorrect You FOILed incorrectly Try again!

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Incorrect You can’t cancel out until you have written the numerator in factored form. Try again!

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Incorrect You made two mistakes. First, you subtracted the numerators before you had a common denominator. Secondly, you multiplied the denominator incorrectly. Try again!

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12-6 Rational Expressions with Like Denominators Objective: Students will be able to add and subtract rational expressions with like denominators.

12-6 Rational Expressions with Like Denominators Objective: Students will be able to add and subtract rational expressions with like denominators.

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