Algebra

1. 3p 2. (x + 4)2 Ap (x – 2)(x + 4)

A3 (x – 2)

(x + 4)

3. 7 + 9 4. 10 - ad d r t

= =

d16= rt

10t= rtar–

rt10t – ar =

5. e X 5 6. a ÷ 4y g e r

gy5e=

ea= 4

rX

4ear=

7. K = A + T 8. E = Ap – t 9. R = A2 Y

A + T = K

A = K – T

Ap – t = E

Ap = E + t

A = E + t p

A2 = R YA2 = YR

A = √YR

10. √27 11. √48 12. √3 X √8

= √9 X √3

= 3√3

= √16 X √3

= 4√3

= √24

= √4 X √6

= 2√6

2513. 64

√64= √25

8 = 5

14. 8√7 - 3√7

= 5√7

15. √50 + √18

= √25 X √2 + √9 X √2= 5√2 + 3√2

= 8√2

16. 6 √3

6 √3 √3

√3X

36√3=

2

1

= 2√3

(4x – 3)(4x – 3)= 16x2 – 12x – 12x + 9= 16x2 – 24x + 9

17. a) (4x – 3)2

b) (x + 2)(x2 – 5x + 3)

x(x2 – 5x + 3) + 2(x2 – 5x + 3)= x3 – 5x2 + 3x + 2x2 – 10x + 6 = x3 – 3x2– 7x + 6

= 3(x2 – 16)

b) 2x2 – 4x – 30

= 2(x2 – 2x – 15)= 2(x – 5)(x + 3)

18 a) 3x2 – 48

= 3(x – 4)(x + 4)