Basic Algebra - 2024

Making algebraic expressions

100

a number increased by 5

a + 5

200

double a number 

2a

300

a quarter of a number minus 3

1/4 times a - 3

or 

a divide 4 - 3

400

a number subtracted from 20 then halved

(20 - a) divide 2 

or (20 - a) /2 

500

a number times by itself added to a different number 

a²+b

Substitution

100

Solve 4x + 3 

if x = 10

43

200

Solve x + y - 10 if 

x = 4 and y = 12

6

300

Solve 3x + 5y - 6 if 

x = 3 and y = 5

28

400

24+ 2b² ÷ b 

when b= 3

30

500

Solve 

x² + 2x 

if x=4

24

Combine Like Terms

100

4 + x + 4 + x + 4

2x + 12

200

3x - 2 + 7x + 7 - 3

10x + 2

300

13x +10 + 20x - 4

33x + 6

400

20x + 3y - 10x + 8y

10x + 11y

500

4x - x + 2x - 7y + 10x - 2x + 3

13x -7y +3

Expanding brackets

100

3(2+x)

6 +3x

200

7(9 - 6a)

63- 42a

300

8 (4e + 5p)

32e +40p 

400

9r (3w - 5r) 

27rw -45r²

500

12(8d-6r ) + 2d + r

98d -71r 

Factorising

100

2 + 2h 

2( 1+h) 

200

18e + 24

6(3e+4) 

300

36er - 12rs

12r(3e - s) 

400

50a²bcf - 10acd 

10 ac(5abf - d) 

500

42g²r² - 49wgr²

7gr²(6g - 7w)