Chapter 6: Equations and Rearranging Formulae

6.1: Expansion of Brackets (Expand and Simplify):

100

-1.5(8z-4)

-12z+6

200

-4(2a-3b-6c+4d)

-8a+12b+24c-16d

300

3g-7(7g-7)+2(5g-6)

-36g+37

400

12m(2n-4)-24n(m-2)

-48m+48n

500

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

6x²+6x-6

6.2: Solving Linear Inequalities (Solve The Equations):

100

   2x-1/3=3x

x=-1/7

200

1/2x-7=1/4x+8

x=60

300

2(p-1)-7(3p-2)=7(p-4)

p=20/13

400

7x-(3x+11)=6-(5-3x)

x=12

500

4^3x=2^x+1

x=1/5

6.3: Factorizing Algebraic Expressions(Factorize):

100

2p+4q+6r

2(p+2q+q3r)

200

21u-49v+35w

7(3u-7v+5w)

300

x(3+y)+2(y+3)

(3+y)(x+2)

400

7x³y-14x²y²+21xy²

7xy(x²-2xy+3y)

500

5(x+1)²-4(x+1)³

(x+1)² (1-4x)

6.4: Rearrangement of Formula (Make the variable shown the subject of the formula):

100

an-m=t   (n)

n= t+m/a

200

x(c-y)=d   (y)

y=c-d/x

300

a/c=c/d   (a)

a= cb/d

400

a√b=c   (b)

b=(c/a)²

500

x/√ y=c    (y)

y=(x/c)²

Bonus (Random Questions About Previous Lessons)

100

m³n²+6m²n²(8m+n)   (Expand and Simplify)

m²n²(49m+6n)

200

√ x-b=c (b)         (make subject)

b=x-c²

300

5^2(3x+1)=625   (Solve)

x=1/3

400

9^3x+4=27^4x+3    (Solve)

x=-1/6

500

2x(3+x)-3(x-2)   (Expand and Simplify)

2x²+3x+6