Algebraic Techniques

Algebraic expressions

100

The product of a and b

ab

200

Double of x and y

2(x+y)

300

Six is added to one half of m

6+m/2

400

y is divided by 3, then subtract four

(y/3)-4

500

Four is subtracted from h, then double it

2(h-4)

Substitution

100

x=-3       6x+8=

-10

200

a = 2  b = 5    a+b=

7

300

a=5 b=-3      a² + b=

22

400

a = 4 ,b = 3, c = 9  

3ab − 2b + c

39

500

a=-3  b=-5         3a-4b

11

Like terms

100

7b + 2b

9b

200

3k + 15k − k

17k

300

10ab + 4ba

14ab or 14ba

400

8y − 2x + 6y − x

14y-3x

500

11b − 3b ² + 5b ² − 2b

9b+2b ²

Multiplying and dividing terms

100

3d × 6

18d

200

4a × 2b × cd

8abcd

300

7x/14xy

1/2y

400

ab/4b

a/4

500

− 5xyz/10yz ²

-x/2z

Expanding brackets

100

3(x + 5)

3x+15

200

5x(4 − y)

20x-5xy

300

− 8(5 − h)

-40+8h

400

4m(5w − 3a)

20mw-12am

500

3(2a + 8) + 7a

13a+24