Algebra Year 10

Substitution

100

If x = 3 and y = -4

3xy - 2x

-42

200

If a=2 and b=-3

What is 2a² - b

11

300

if a=3 and b= -4

What is (ab)²

144

400

If a= 2, b=-3, c= 4

What is 2a² + b³ -c²

-35

500

If a=-2, b=3, c=-1

What is (a²bc)³

-1728

Simplifying

100

2a + 3a - 3b - 2b

5a - 5b

200

2a - 3b + 4a -5b

6a - 8b

300

3ab - 2a + 4ba + 5b

7ab -2a + 5b

400

3b+ 6c -2(2b + c)

-b +4c

500

-2a(2a+ 4b) - 3a² + 4b

-7a² -8ab + 4b

Solving

100

Solve 3x + 4 = -2

x=-2

200

Solve 3x/5 + 2 = 9

x = 35/3

300

Solve 2(3x - 4) = -3

x= 5/6

400

solve 2x + 3 = 5x - 6

x=3

500

Solve 

2(3x - 6) = 4(2x + 3)

x=-12

Expanding

100

2(3x - 4)

6x - 12

200

-4(3x - 3)

-12x + 12

300

Expand and simplify 

3(2x - 6) + 4 (3x - 2) 

13x - 26

400

4(2x - 3) - 3(3x - 4) 

-x 

500

(2x - 3)(3x +2)

6x² -5x -6

Factorising

100

Factorise

5a + 5b

5(a + b)

200

Factorise

2a³b⁴ + 8a²b⁴ - 6ab

2ab(a²b³ + 4ab³ -3)

300

Factorise

x² + 14x + 24

(x+12) (x+2)

400

Factorise

x² - 5x + 4

(x - 1)(x - 4)

500

12x² + 32 x - 12

(6x - 2)(2x + 6)