Year 8 Algebra

Factorising

100

Factorise:

2x+8

2(x+4)

200

Factorise: 

3x² - 6x

3x(x-2)

300

Factorise:

6abc - 9ab

3ab(2c-3)

400

Factorise:

 x² + 5x + 6

(x+2)(x+3)

500

Factorise:

 x² - x - 12

(x-4)(x+3)

Expanding

100

Expand:

2(x+2)

2x+4

200

Expand:

3a(2-a)

6a-3a²

300

Expand:

(x+1)(x+2)

x2 + 3x + 2

400

Expand:

(x-2)(x+3)

x2 + x - 6

500

Expand:

2(x+6)(x-3)

2x² +6x - 36

Collecting Like Terms

100

2a + 3a + 3a² - 4a²

5a - a²

200

8f - 5f + f - gf + 3fg

4f + 2fg

300

-3f - 5f + f - gf + 3fg + f²g + g²f 

-7f + 2fg + f²g + g²f 

400

2a + 3b + 4ab - 4a²b

2a + 3b + 4ab - 4a²b

500

4a²bc + 2ab + 3b - 2abc + 3c + 4ab - a(abc)

3a²bc - 2abc + 6ab + 3b + 2c

Random Maths

100

Write as a percentage:  3/4

75%

200

Simplify this ratio: 6:8

3:4

300

Round to two decimal places:

0.155

0.16

400

Solve for x:

3(x+2)-1=8

x=1

500

Find the median, mode and range for:

1, 2, 3, 4, 5, 6, 6, 7

med = 4.5

mode=6

range=6

Randos

100

Which is bigger? 

100g or 1kg?

1kg

200

Which house was Harry Potter sorted into?

Gryffindor

300

What is the largest mammal on Earth?

blue whale

400

What is the capital city of Germany?

Berlin

500

List 5 countries starting with the letter A

Algeria Argentina Afghanistan Angola Australia Azerbaijan Austria Armenia Albania Antigua and Barbuda, Andorra