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Find in the simplest form, an expression for the area A of: Length = (x+6)m width = (x+1)m
x^2 +7x+6
Expand: (a) -3(2x + 1) (b) - (8 - x)
(a) -6x -3 (b) -8 + x
Find the value of the following expressions when n = – 2. (i) 5n – 2 (ii) 5n^2 + 5n – 2 (iii) n^3 + 5n^2 + 5n – 2
(i) – 12 (ii) 8 (iii) 0
Get the algebraic expressions in the following : (i) One-fourth of the product of numbers p and q. (ii) Number 5 added to three times the product of numbers m and n.
(i) pq/4 (ii) 5+3mn
Factorise: (a) 2x^3 + 5x^2 (b) x^4 + 2x^3 + 3x^2
(a) x^2 (2x+5) (b) x^2 (x^2 +2x+3)
Factorise: (a) 3x + mx (b) 25x + 20
(a) x(3+m) (b) 5 (5x + 4)
Find the HCF of: (a) 4y and 4xy (b) 4x and 12
(a) 4y ( 1+ x) (b) 4 (x+3)
Expand: (a) 4k(k - 2l) (b) 5x(2y - 3)
(a) 4k^2 - 8kl (b) 10xy - 15x
Suppose we have 5 bags which contain some oranges. Find how many oranges are present if each bag contains: (a) y orange and there are 2 leftover (b) t oranges and there are r left over
(a) 5y + 2 oranges (b) 5t + r oranges
If x = 5 and y = 6, find the values of the following expressions: (i) 5(y - x) + 2 (ii) 5 + 2y - 3x
(i) 7 (ii) 2
Simplify: (a) c + c + c + d + d (b) (n + n) - (m + m + m) (c) 3a + 6b - a - 2b
(a) 2c+2d (b) 2n - 3m (c) 2a +4b
Write down the coefficient of x in each of the following: (i) 5y - 2 + 2x (ii) 8 - 3x
(i) 2 (ii) -3
Simplify algebraic expression- (i) (3c + 4) - (2c + 3) (ii) 4c + 3 - 2c - 1
(i) c+1 (ii) 2c + 2
Evaluate: (i) 4(h - 5) when h = 9 (ii) 3z + 4 when z = 3
(i) 16 (ii) 13
Expand the following. (i) ½(4x - 6y) , (ii) y(y - 3x) + x(3y - 2x)
(i) 2x - 3y (ii) y^2 - 2x^2
Expand the following. -2(a - 4b) , 3z(z + a - 3)
-2a + 8b, 3z² + 3az - 9z