Algebra All Skills

Year 10July 2011

Expand and simplify

4(p+5)=4p + 20

Expand and simplify

d(3-d)=3d – d2

Expand and simplify

4 + 7(x-3)= 4 + 7x – 21

= 7x - 17

Expand and simplify

5x(x-3)=5x2 - 15

Circle the LIKE terms

Which terms are like 2a?2a2 4a –a 5ac

Circle the LIKE terms

Which terms are like -2x2?2x2 4x –2ax2 5ax

Circle the LIKE terms

Which terms are like ax2?2ax2 4ax –2ax2 5a2x

Circle the LIKE terms

Which terms are like abc?2abc 4ab –2ab2 5a2bc

Simplify2p + x – 4p – 5x

= 2p – 4p + x – 5x= -2p – 4x

Simplify3a + 3b + 2a – 2b

=3a + 2a + 3b – 2b= 5a + b

Simplify8 x m= 8m

Simplify8m x 2m

= 8 x 2 x m x m= 16m2

Simplify8m x -2m= - 16m2

Simplify-8m x -2m= 16m2

Negative times negativeEquals positive

Simplify-8m2 x -2m

= 16m3

Simplify-3a3m2 x -2a2m=3x2a3a2m2m1

=6a5m3

Simplify3a5m2 x -2a6m

= -3x 2a5a6m2m1 = -6a11m3

Simplify3a5m2 x 10a6 = 3 x 10a5a6m2

= 30a11m2

Simplify(3a5m2)2

= (3a5m2)(3a5m2) = 3x3a5a5m2m2

= 9a10m4

Simplify(-2am2)3

=(-2am2)(-2am2)(-2am2)=(-2)(-2)(-2)aaam2m2m2

=-8a3m6

Simplify-(3m4)3

Simplify(-2m4)4

Simplify(-2m4)4 (-2m4)4

Simplify-20m4 -2m3

Simplify-20m4

-200m6

Simplify-5m8 10m4

Simplify5a7b8m8

10a4b3m4

Simplify50a7b8m3 60a7b7m4

Simplify500a10b8m3 600a7b9m5

Solve4 + x = 2.9

SolveX - 3 = 2.9

SolveX ÷ 3 = 2

Solve30 ÷ x = 2

Solveg ÷ -9 = 2

Solve3w – 11 = -4

Solve5h + 25 = -25

Solve2(x-7) = 3(x+5)

Solve2x-5 = 7-2x

3

Solve2(p+4)= p+8

Factorise6p + 12

Factorise20-10x

Factorise6p2 + 12p3

Factorise6p - 12p3

Factorise6ap – 18ap3

Factorise6abc + 12abcx

CalculateWhen a = 3

2a + 5

CalculateWhen a = -2

2a + 5

CalculateWhen a = -2

2 - a2

Calculate A

When r = 2

Calculate c

When a = 3 and b = 4

Solve

3 (2 𝑥+7 )=33

Expand

7(x+3) – 4(x-4)

Expand

7(x+6) – 3(x+4)

Expand

(x-6)(x+4)

Expand

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

Expand

2(3x-1)+ 3(2x+4)

Simplify

3x-1 + 2x+3 2x x

Solve

3x-1 + 2x+3 = 1 2x x