Year 10 Adv Half Yearly Revision

Algebraic Expressions

100

4x(x-3)

4x²-12x

200

7m(2m+3)+m²

15m²+21m

300

(m+3)/5  + (m-2)/4

(9m+2)/20

400

(8a-3y)²

64a²-48ay+9y²

500

4t/9 divided by 3t/4

16/27

Index laws

100

(3q³)²

9q⁶

200

5n⁸t x 6n⁸t⁴

30n¹⁶t⁵

300

-27^1/3

-3

400

-2r⁶y^-5

-2r⁶ / y⁵

500

3q^-5r³ divided by (6qr²)³

1/(72q⁸r³)

Equations

100

3x+6=9

x=1

200

(n+5)/3 = -10

n=-35

300

Make x the subject of:

x + y = 5 - 3x

x = (y-5)/-4

400

Find the circumference of a circle with radius 2.4m if C=2piR where R is the radius.

C = 15.08m

500

Solve the quadratic equation

x²+3x+2=0

x = -1 and x = -2

Factorising

100

Factorise

24x+30

6(4x+5)

200

Factorise:

t(t+4)+3(t+4)

(t+3)(t+4)

300

x²-25

(x-5)(x+5)

400

Factorise:

w²-7w-18

(w+2)(w-9)

500

Factorise:

4k²-11k+6

(k-2)(4k-3)

Inequalities

100

Graph the following inequality:

x>2

Show responses

200

x-1 > 6

x > 7

300

Solve the inequality:

2-p>8

p<-6

400

Solve the inequality:

5(m-4)<10

m<6

500

3(3x+4)>6(1-2x)

x>-2/7