Algebra 2 - Rational Expressions

Adding

100

These have to be the same when you add fractions.

What are denominators?

200

This is the smallest number that includes two particular numbers as factors.

What is the Least Common Multiple?

300

These occur on top of fractions.

What are numerators?

400

Add. 

1/(x+1)   +  3/(x-4)

What is (4x-1) / (x+1)(x-4)   ?

500

Add.  [ (x²+3x-40) / (x-5) ] + 1

What is (x+9)  ?

Subtracting

100

We need to distribute this over parentheses when we subtract.

What is a negative sign?

200

This is the same as subtracting a negative.

What is adding?

300

Subtracting requires us to find the LCD. An acronym that stands for this.

What is least common denominator?

400

Subtract 1 / (x+3) -  2/(x+5)

What is (-x -1) / (x+3)(x+5)  ?

500

Subtract (x-2)/(x+1) -  (x-1)/(x+4)

What is (2x-7) / (x+1)(x+4) ?

Multiplication

100

This is the product of a/b * c/d

What is ac/bd ?

200

This is the product of (x-a)(x+a)

What is x²-a² ?

300

This is what we do when we multiply a term by a polynomial. Such as when we have a problem like 2x(3x²-4x+2).

What is distribution?

400

Multiply 1/(x-2) * (2-x)/x

What is -1/x ?

500

Multiply (x²-4)/2 * 3/(x²-4x+4)

What is [3(x+2)] / [2(x-2)] ?

Things you can't do

100

I cut this cake into no pieces at all! I did this... which is not defined.

 What is divided by zero?

200

I had (x+1)/(x+2) and said it was equal to 1/2. This is what I did wrong.

What is cancel out the x's in a binomial?

300

I had (x-3)/(x+2) and then plugged in x=-2. But I found out that this number was one of these.

What is an excluded value?

400

I did the problem (x+2)² and said it was x²+4. But I forgot this...

What is 4x... the middle term?

500

When I added 1/(x+2)  + 3/(x-3) I said it equaled. 4/(2x-1)... This is what I did wrong.

What is I added the top AND the bottom without finding a common denominator?

SG Life

100

This dorm shares a name with a movie starring Luke Wilson and Will Ferrell.

What is Old School?

200

This common room is named after a famous American poet.

What is Nash?

300

This bridge between Newport and Jamestown is named after an SG alum.

What is the Pell Bridge?

400

Our first headmaster, Rev. Diman, had attended  this colorful nearby college.

What is Brown?

500

This song urges god to support students. It says , "Fill them with high and holy zeal
In lonely task or busy throng,
Their souls with heaven-born courage steel,
And in Thy strength, O make them strong."

What is the school hymn?