Number system

Rational vs. Irrational

100

Is this number Rational or Irrational?   25

Rational- It stops

200

Is this number Rational or Irrational?   PI

Irrational because it is Pi- famous Irrational number

300

Is this number Rational or Irrational?  4/2 

Rational because 4/2 = 2

It stops, so it is Rational

400

Is this number Rational or Irrational?   

The square root of 5

Irrational because it continues in no pattern. 

500

Is this number Rational or Irrational?  

2/3

Rational because it goes on forever in a pattern.  Repeats in a pattern.

Decimals to Fractions

100

Convert .25 to a fraction and simplify.

1/4

200

Convert  a repeating .25 to a fraction. 

25/99

300

Change .2 to a fraction.

1/5

400

Change a repeating .20 to a fraction.   

20/99

500

Change  a repeating .101 to a fraction.

101/999

Approximating Values

100

What 2 whole numbers does the sq. root of 8 come in between? 

2 and 3

200

What two whole numbers does the sq. root of 11 come in between? 

3 and 4

300

What two whole numbers does the sq root of 150 come in between? 

12 and 13

400

What does the sq. root of 211 come in between?  

14 and 15

500

What two whole numbers does the sq. root of 555 come in between?
Where would it go on a number line?

23 and 24

23.5

Combining Like Terms

100

Simplify 23x + 3x 

26x

200

Simplify 3y + 5 - y

2y + 5

300

Simplify 4y + 10y + 5x -2 -2

5x + 14y - 4

400

5x + 6xy - 4+8 -2x + 20

3x+ 6xy + 24

500

5x + 6xy - 4+8 -2x +10xy -4

3x+16xy

Distributing

100

2(3x + 2)

6x + 4

200

3(x-20)

3x-60

300

-(3y-8)

-3y+8

400

2(3x -10) - 5

6x-15

500

8 -(2x+4) 

-2x+4