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
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10
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
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10
Expand the following.
(i) ½(4x - 6y) , (ii) y(y - 3x) + x(3y - 2x)
(i) 2x - 3y (ii) y^2 - 2x^2
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10
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
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10
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)
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10
Expand:
(a) 4k(k - 2l)
(b) 5x(2y - 3)
(a) 4k^2 - 8kl
(b) 10xy - 15x
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10
Find the HCF of:
(a) 4y and 4xy
(b) 4x and 12
(a) 4y ( 1+ x)
(b) 4 (x+3)
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10
Write down the coefficient of x in each of the following:
(i) 5y - 2 + 2x
(ii) 8 - 3x
(i) 2
(ii) -3
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15
Find in the simplest form, an expression for the area A of:
Length = (x+6)m width = (x+1)m
x^2 +7x+6
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15
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
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15
Find the value of the following expressions when n = ā 2.
(i) 5n ā 2 (ii) 5n^2 + 5n ā 2 (iii) n^3 + 5n^2 + 5n ā 2