Page 148 - ICSE Math 7

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5. The difference of two algebraic expressions is mn + n m – 2mn – 2. If the bigger expression is
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2mn – 2mn + 4, find the smaller expression.
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6. Find the value of x – x(x – 5) when x = –2.
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7. Simplify 3(a + ab – 1) + 5 – 2ab and find its value if a = 3 and b = 2.
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8. Find a if the value of expression (2x – x + 2a) when x = 0 is 6.
9. Neha is five years younger to Karishma. Five years ago, Karishma was twice as old as Neha.
Convert it into an algebraic equation.
10. Kishi and Sunanda decide to planting trees in a garden. Sunanda planted 6 trees less than Kishi.
If they planted 26 trees together, how many trees each of them planted?
11. Find the perimeter of a rectangle with length (3x + 4y) units and breadth (2x – 3y) units.
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12. The area of a rectangular field is (9p – 1) sq. unit and its length is (3p – 1) units. Find the
breadth of the rectangle and its perimeter.

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13. The cost of 8y pencils is ` (24y – 16y + 8). Find the cost of a pencil.
14. Simplify the following.
(a) (13a + 6b) + (5a – 4b) – (–3a + 6b) (b) m(2n + 3l) – n(–3l + 5m)
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(c) (x + y) (x – y) – (y + x) (y – x) (d) (–6a – 2a + 7a + 4a + 10) ÷ (2 – a )
THINK SMART

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1. The area of a rectangle is (15x – 12x – 25x + 20) m . If the length of the rectangle is (3x – 5) m.
Find its breadth. Also, find the area, if x = 2.
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2. What should be added to 49x + 112x + 70 so that the sum is perfectly divisible by (7x + 8)?

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