10MAT Algebra Revision 1

Collecting Like Terms

100

a + a

2a

200

2x + y + x + 3y

3x + 4y

300

6x + 9y - 7y - 4x

2x + 2y

500

2a² + 4a + a² - 2a

3a² + 2a

1000

6a² + ab - 4a² + 7ba

2a² + 8ab

Simplifying (multiplying)

100

a x a

a²

200

2a x 2a

4a²

300

4a³ x 3a

12a⁴

500

6a²b x 4ab²

24a³b³

1000

4a x 2a x b x 3b

24a²b²

Factorising

100

2a +2b

2(a + b)

200

4x + 2y

2(2x + y)

300

7x - xy

x(7 - y)

500

x² + 2xy

x(x + 2y)

1000

x² + 10x + 24

(x + 4)(x + 6) or (x + 6)(x + 4)

Expanding

100

2(x + 1)

2x + 2

200

x(x + 3)

x² + 3x

300

x(2x² + 2)

2x³ + 2x

500

2a(a² + 2a)

2a³ + 4a²

1000

(x + 6)(x - 2)

x² + 4x - 12

Solving

100

Solve for x: x + 2 = 4

x = 2

200

Solve for x: 4x = 16

x = 4

300

Solve for x: 3x - 1 = 8

x = 3

500

Solve for x: x² - 16 = 0

x = 4

1000

Solve for x: 3x + 8 = 2x + 10

x = 2