G8 Q2 Algebra

Forming Expressions

100

5 more than the product of x and y

5 + xy

200

the sum of squares of a and b

a² + b²

300

the product of 5 and the sum of p and 2q

5 (p + 2q) or 5p + 10q

400

the cost of 3 pens at x cents each and (x + 2) pens at y cents each

3 (x) + y (x + 2) = 3x + xy + 2y cents

500

10 more than twice the square of the sum of 7 and 2m

10 + 2 (7 + 2m)²

Simplification

100

a + 8a + 4b + 6a

15a + 4b

200

7p - 8q + 9r - 12p - q - 13r

-5p - 9q - 4r

300

5 (2x - y) - 3 (4y - x)

13x - 17y

400

10 - 6 ( m - 2n - p) - (3p - 7n + m) 

-7m + 19n + 3p + 10

500

5x (2x - y + 3) - x (3y - 4x + 10) - 3x² + 2/3 (6x - 15xy)

11x² - 18xy + 9x 

Substitution

100

Given that a = 5, b = 3 and c = 10, find ab - c²

15 - 100 = -85

200

Given that p = -2 , q = -5 and r = 6

find the value of 2p² - qr + q

8 + 30 - 5 = 33

300

Given that a = -10 , b = -2 and c = 0.1

Find the value of ab² - ac + (a÷b)c

-38.5

400

m= -6 , n = 1/3 , p = 4 , q = 1/2

Find mnp - pq² + m - sqrt (n^p)

-10 1/9

500

x=8 , y = 0 , z = -2 , b = -5

Find:

b^z + 2x^y - 3z² + (x - bz)^z

-9 71/100

Factorisation

100

Factorise: 8ab - 12bc

4b (2a - 3c)

200

Factorise:

18mn - 24mnp + 48mpq

6m (3n - 4np + 6pq)

300

Factorise

a²b³ - 9a²b⁵ + 12a³b⁴

a²b³ (1 - 9b² + 12ab)

400

15yp - 3yq - 20pz + 4qz

(3y - 4z) (5p - q)

500

10am + 2an + 2bn + 10bm 

2 (5m + n) (a + b)

GK

100

Capital city of Argentina

Buenos Aires

200

Smallest country in the world

Vatican City

300

Name the colours of the rainbow in order.

VIBGYOR

400

Which country's flag is not rectangular?

Nepal

500

Which country has the most number of pyramids?

Sudan