Year 9 Algebra

Simplify (+,-)

100

3a + 4a + 7b + 5b =

7a + 12b

200

3a + a -4b + 3b =

4a - b

300

2x - 5y - 7x - 4y + 2y

-5x - 10y

400

3a² – 9b – a – 6a² – 3a + b

-3a² - 4a - 8b

500

2x/3 + 4x/3 - 2y - 1x/2

2x - 1.5y

Simplify (x, /)

100

a x a x a x a x a =

a^5

200

3a² x 6a⁵

18a⁷

300

4b⁴ x b¹⁰ x 4a x a³

16a⁴ b¹⁴

400

In simplist form: (14a⁵) / (7a⁸)

2 / a³

500

In simplist form: (b³ a² c) / (4b² c⁴)

(b a²) / (4c³)

Substitution

100

a = 4, b = 2; ab =

8

200

a = 4, b = 3; b - 2ab =

-21

300

a = 2, b = 10, c = -2; a² + ab + c =

22

400

a = -2, b = -4, c = 1; 4a - bc + ab =

4

500

a = -3, b = -4, c = 2; b² + ac - b - ab =

2

Expand

100

^{x (x+2)}

x^{2 +} 2x

200

a (a-1)

a² - a 

300

x (y + 2)

xy + 2x

400

x (x + y)

x² + xy

500

2a (a + 2)

2a² + 4a

Expand & Simplify

100

2 (x + 3) + 4x

6x + 3

200

4 (n - 2) + 3n

7n - 2

300

6 (a + 2) + 2a + 4

8a + 16

400

5x + 4(x + 3)

9x + 12

500

5a + 4 + 2(a + 3)

7a + 10