Extended Year 8 Equations

Two Step

100

2s+4=6

s=1

200

4x-12=0

x=3

300

21q-5=79

q=4

400

-7d-10=32

d=-6

500

-x/2 - 8 = -16

x=16

Brackets

100

2(m-2) = 10

m=7

200

5(g-1) = -15

g=-2

300

10(m-2)=30

m=5

400

3(-v+2) = 18

v=-4

500

-4(-x-20)= -16

x=-24

Variables on Both Sides

100

3x/2+2=x/2+4

x=2

200

-5y+2=3y+4

y=-1/4

300

-z+21=-z/4

z=28

400

b/5−5=−b/10+0.7

b=3

500

-x/12 -2=-x/3+16

x=72

Quadratics

100

k²=16

k=4,-4

200

2v²-11=151

v=9,-9

300

13(g²+5)=1365 

g=10,-10

400

3(-m²-10)=-65 (2.d.p)

m=±3.42 

500

(2x²)/3 - 4 = 8+(x²)/3

x=6,-6

Quads and Factorising

100

m²+12m+35=0

m=-5,-7

200

p²+13p-30=0

p=2,-15

300

x²-3x-18=0

x=6,-3

400

g²-16g+63=0

g=9,7

500

y²-24y+80=0

y=20,4