question 1

Question 1Question 1Which is an example of a rational expression?

• A. ½

• B. 5

• C.

• D. None of the above

2

189

xx

IncorrectIncorrect• Think about what a rational expression needs to

have in it.

• Try again!

IncorrectIncorrect

• Try again!

Correct! Correct!

• Next Question!

IncorrectIncorrect• Try again, there is one listed.

• Try again!

Question 2Question 2When simplifying rational expressions, we can only

can out _____________________.

• A. Factors

• B. Terms

• C. Variables

• D. Coefficients

Correct!Correct!

• Move on to the next question

IncorrectIncorrect• Terms are separated by addition and subtraction.

Remember that division can only undo multiplication.

• Try again.

IncorrectIncorrect• We may be able to cancel out variables if they

are written using multiplication.

• Try again

IncorrectIncorrect• We can try to simplify or reduce coefficients, as

long as they are written with multiplication.

• Try again

Question 3Question 3• Simplify the expression

• A.

• B.

• C. Cannot be simplified

• D.

212

6

x

x

x2

22x

x

x2

1

IncorrectIncorrect• Check where the 2x was located before you

cancelled anything.

• Try again

IncorrectIncorrect• Remember to cancel out any variables that you

can

• Try again

IncorrectIncorrect• There is a way to reduce the coefficients and

cancel out some variables

• Try again

CorrectCorrect

• Next question please!


• A.

• B.

• C.

• D. Cannot be simplified

x

x 4

4

5

4x

IncorrectIncorrect• Check again. You can only cancel out factors

(things attached with multiplication). Is the x in the top a factor?

• Try again

IncorrectIncorrect• Where did the x on bottom go?

• Try again •

Correct!Correct!

• Try the next question!


• A.

• B.

• C.

• D.

2510

52

xx

x

5

1

x

5

1

x

1

2510

5

x

IncorrectIncorrect• Check the way that you factored the bottom

• Try again!

Correct Correct

• Good work! Next question!

IncorrectIncorrect• Check the number of factors that you can cancel

in this problem.

• Try again!

IncorrectIncorrect• Did you forget to factor?

• Try again!•


• A.

• B.

• C.

• D.

42202

422

23

xx

xxx

)14(

)1(

x

xx

)3(

)6(

x

x

)3(2

)6(

x

xx

2

x

IncorrectIncorrect• Did you use the kick out method? Remember that

this doesn’t work if you have a GCF…

• Try again

IncorrectIncorrect• You’re missing some factors… Did you have any

GCFs?

• Try again

CorrectCorrect

• Now let’s try some multiplication!

IncorrectIncorrect• Did everything else cancel?

• Try again


• A.

• B.

• C.

• D.

3

2 2

6

10

x

x

x

x

4

3

6

20

x

x

3

10

x3

10

2

2

2

5

x

x

IncorrectIncorrect• You forgot to simplify

• Try again

IncorrectIncorrect• 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

Correct! Correct!

• Now let’s try division!

IncorrectIncorrect• You can simplify like this if you’d like. However,

you still need to do the multiplication

• Try again


• A.

• B.

• C.

• D.

x

x

x

x

77

13 24

2

6

49

13

x

x

x13

3

2

7

54

x

x

2

2

49

54

x

x

IncorrectIncorrect• You multiplied straight across. This is a division

problem so you can’t multiply right away.

• Try again

Correct! Correct!

• Nice job! Next question.

IncorrectIncorrect• You are right so far… now you need to simplify.

• Try again

IncorrectIncorrect• You multiplied the top and bottom by 7x.

• Try again


• A.

• B.

• C.

• D. I need a hint!

xx

x

xx

x

96

6

242

322

)32)(4(

1

xx

2476

634

2

xx

x

)96)(4(

32 xxx

x

CorrectCorrect• Muy bien!

IncorrectIncorrect• You need to factor the top and bottom and

simplify

• Try again

IncorrectIncorrect• Can you factor anything else and simplify even

more?

• Try again

Here’s a hint…Here’s a hint…• Factor each part first. Now multiply across (don’t

distribute) and cancel out common factors.

• Try again •


• A.

• B.

• C.

• D.

43

1

823 2

xxx

x

86

432

x

x

)4)(6(

)43(

xx

xx

2

1

2xx

IncorrectIncorrect• You tried to multiply the bottom, you need to

keep it factored and cancel out common factors.

Try again

IncorrectIncorrect• Don’t forget to simplify!

• Try again•

IncorrectIncorrect• Can you cancel out the x’s here?

• Try again•

CorrectCorrect

• WOO! Next question!


• A.

• B.

• C.

• D.

22

35

xx

4

2

x

2

2

x

2

)35(

x

2

2

3

5

x

x

IncorrectIncorrect• Check your denominator

• Try again

Correct Correct

• Good work! Only a few more questions!

IncorrectIncorrect• You’re on the right track. Keep simplifying

• Try again

IncorrectIncorrect• You can only cross multiply across an equal sign.

• Try again


• A.

• B.

• C.

• D.

224

3

x

x

x

224

3

xx

x

24

3

x

x

24

5

x

x

x4

5

IncorrectIncorrect• You can’t add straight across

• Try again

IncorrectIncorrect• You forgot to multiply the numerators when you

were getting a common denominator

• Try again •

IncorrectIncorrect• Don’t forget to simplify

• Try again

CorrectCorrect

• Try the next question


• A.

• B.

• C.

• D.

1

2

2

5

xx

2

0

x

)2)(1(

)2(2)1(5

xx

xx

3

)1)(2(

)3(3

xx

x

Incorrect Incorrect • You got a common denominator by adding to the

top and bottom. This will change the fraction. Try multiplying by something

• Try again!

IncorrectIncorrect• You are half way there. Keep going!

• Try again!

IncorrectIncorrect• You cancelled out more than you should have.

• Try again! •

Correct Correct

• Only one more question!


• A.

• B.

• C.

• D.

6

12

1

2

xx

x

)6)(1(

2442

xx

xx

)6)(1(

24122

xx

xx

10x

5

102 x

x

Correct! Correct!

• Awesome! Turn your paper in!

IncorrectIncorrect• You FOILed incorrectly

• Try again!

IncorrectIncorrect• You can’t cancel out until you have written the

numerator in factored form.

• Try again!

IncorrectIncorrect• You made two mistakes. First, you subtracted the

numerators before you had a common denominator. Secondly, you multiplied the denominator incorrectly.

• Try again!

question 1

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