Algebra and Stats/Probability

Grouping Like Terms

100

 3x+5x 

 8x 

200

 7a-2a+4 

5a+4

300

 5y+3-2y+6 

3y+9

400

 4m-3n+2m+5n 

 6m+2n 

500

 1/2x+3/4x-1/4x 

x

Indices

100

 x^3xxx^2 

x^5

200

 a^5-:a^2 

a^3

300

 m^4xxm 

 m^5 

400

 p^6-:p^6 

1

500

 2x^3xxx^2-:x^5 

2

Expanding single brackets

100

 3(x+4) 

 3x+12 

200

 -2(x+5) 

=2x-10

300

 4(2x-3) 

 8x-12 

400

 -3(2x-7) 

  21-6x 

500

 1/2(6x-4) 

3x-2

Expanding double brackets

100

 (x+3)(x+2) 

 x^2+5x+6 

200

 (x-4)(x+5) 

 x^2+x-20 

300

 (2x+3)(x-1) 

 2x^2+x-3 

400

 (-x+4)(x-3) 

 -x^2+7x-12 

500

 (x+1/2)(x+2) 

 x^2+5/2x+1 

Statistics and probability

100

Find the mean of

2, 4, 6, 8

5

200

Find the median of

3, 9, 5, 7, 11

7

300

The data set is

2, 4, 4, 5, 12

Identify the outlier

12

400

A bag contains 3 red and 2 blue counters.

What is the probability of picking two red counters without replacement?

6/20

500

In a class of 30 students:

18 study French

12 study Japanese

5 study both

How many students study neither language?

5