Chapter 1 - Algebraic Expressions + Chapter 2 - Quadratics

Question 1

Solve : (ab)^n

Answer 1

a^n b^n

Question 2

Solve : (x-y)^2

Answer 2

(x-y)(x-y)

Question 3

Solve : x(5x-3y)(2x-y+4)

Answer 3

5x^2(2x-y+4)-3xy(2x-y+4)

Question 4

Factorise : 3x+9

Answer 4

3(x+3)

Question 5

Factorise : x^2-5x-6

Answer 5

(x+1)(x+6)

Question 6

Solve : a^1/m

Answer 6

m(root)a

Question 7

Solve : a^n/m

Answer 7

m(root)a^n

Question 8

Solve : a^-m

Answer 8

1/a^m

Question 9

Solve : a^0

Answer 9

1

Question 10

Solve : (root)ab

Answer 10

(root)a x (root)b

Question 11

Solve : 1/(root)a

Answer 11

Multiply the nominator and denominator by (root)a

Question 12

Solve: 1/a+(root)b

Answer 12

Multiply the nominator and denominator by (a-(root)b)

Question 13

Solve: x^2-2x-15=0

Answer 13

(x+3)(x-5)

Question 14

Solve by completing the square: x^2+bx

Answer 14

(x+(b)/2)^2-(b/2)^2

Question 15

Solve by completing the square: ax^2+bx+c

Answer 15

a(x+(b)/2a)^2+(c-(b^2)/4a)

Question 16

Find the values of f(5) for the equation f(x)=2x-10

Answer 16

0

Question 17

Write f(x)=x^2+6x-5 in the form (x+p)^2+q

Answer 17

(x+3)^2-14

Question 18

When the formula of the parabola is y=x^2-5x+4, find the coordinates of the turning point.

Answer 18

(x-5/2)^2-9/4 = (5/2,-9/4)

Question 19

If b^2-4ac>0 then ….

Answer 19

f(x) has two distinct roots

Question 20

If b^2-4ac=0 then…

Answer 20

f(x) has one repeated root

Question 21

If f(x)=x^2+kx+9 has no real roots then …

Answer 21

b^2-4ac<0