Everything Maths Grade 10

b)Solve forI:P=V I.

c)Makemthe subject of the formula:E=mc^2.

d)Solve fort:v=u+at.

e)Makefthe subject of the formula:

1

u

+

1

v

=

1

f

.

f)Solve fory:m=

yc

x

.

g)Solve forxin:ax 4 a+ab= 4bbxb^2 + 4ccxbc

h)Solve forrinS=

a

1 r

ifa=0,4 andS= 3

i)Solve forbinI=^12 M(a^2 +b^2 )ifa= 4,M= 8,I= 320

9.Write down the inequality represented by the following:

a)

 4  2 0 2 4 6 8 10 x

b)

 3  2  1 0 1 2 3 x

c)

 3  2  1 0 1 2 3 x

10.Solve forxand show your answer in interval notation

a)  4 x+ 1>2(x15) b)

x+ 2

4



1(x+ 1)

6

c)

1

4

x+

2

3

(x+ 1)

2

5

x+ 2 d) 3 x 3 > 14 or 3 x 3 < 2

11.Solve and represent your answer on a number line

a) 2 x 3 <

3 x 2

2

; x 2 N

b)3(1b)4 +b >7 +b; b 2 Z

c) 1  5 x >4(x+ 1) 3 ; x 2 R

12.Solve for the unknown variable:

a) 2 + 2^13 (x+ 4) =^15 (3x) +^16 b) 36 (x4)^2 = 0

c) 64 (a+ 3)^2 = 0 d)

1

2

x

2

x

= 0

e) a3 = 2

(

6

a

+ 1

)

f)a

6

a

= 1

g) (a+ 6)^2 5(a+ 6)24 = 0 h) a^4  4 a^2 + 3 = 0

i) 9 y^4  13 y^2 + 4 = 0 j)

(b+ 1)^2  16

b+ 5

= 1

k)

a^2 + 8a+ 7

a+ 7

= 2 l) 5 x+ 24(2x1)

m)

4 x 2

6

> 2 x+ 1 n)

x

3

14 > 14

x

7

104 4.8. Chapter summary