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Algebra Lesson 1 worksheet 1

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Topic: Algebra
Sub-Topic: Algebraic Expression
Worksheet 1
1.Write down an algebraic expression for each of the following statements.
(a)Add 5y to the product of a and b
(b)Subtract 3 from the cube of f
(c)Multiply k by 6q
(d)Divide 2w by 3xy
(e)Subtract 4 times the positive square root of z from thrice of x
(f)Twice the variable p divided by the product of 5 and q
2.Given that x=6 and y= -4, evaluate each of the following expressions.
(a)4x-7y
(b)5x/3y +x
(c)2x^2-y^3
(d) 3x+x/y -y^2
3.Given that a=3, b= -5 and c=6, evaluate each of the following expressions.
(a) a(3c-b)
(b)ab^2-ac
(c)b/a-c/b
(d) b+c/a +a+c/b
4.Simplify each of the following expressions.
(a)5x+22-6x-23
(b)x+3y+6x+4y
(c)6xy+13x-2yx-5x
(d)6x-20y+7z-8x+25y-11z
5.Find the sum of each of the following expressions.
(a)2x+4y, -5y
(b)-b-4a, 7b-6a
(c)6d-4c, -7c+6d
(d)3pq-6hk, -3qp+14kh
6. Raj is 12m years old. His son was born when he was 9m years old.
(i)Find Raj’s age 5 years later
(ii)Find the sum of their ages in 5years’ time.
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