Page 274 - ICSE Math 7

Self-Testing Exercise 3

ALGEBRA

1. Write the degree of the following polynomials.

3
2 2
4 6
2 2
3 3
(a) 3a – a b + 4b 6 (b) m n – 6m n + m q
2
2
2. Find the sum of 9x – 5x + 3 and –3x + 6x – 9.
2
2
3. Subtract 2a – 16a – 45 from –8a + 14a – 24.
4. Simplify.
a 2a a 4a
(a) + – + (b) (2x + 3y – 4z) – (5x – 6y – 7z)
3 3 3 5
x 2 xy 3
2
2
2
5. What must be subtracted from – + y to get 2x – 5xy – y ?
3 2 2
2 4
3 2
6. Find the value of (p ) × (q ) when p = –2 and q = 3.
2
2
7. Find the value of a + b when a – b = 6 and ab = 16.
8. Find two numbers whose sum is 112 and difference is 48.

 a +1   a −1 
9. Simplify  +1  ÷   2 −1 


 2
x x – 1
10. Solve the equation + = 2.
3 2
11. Samaira has ` 70 and Tia has ` 50. How much money must Samaira give to Tia so that Tia’s
money becomes twice the money that is left with Samaira?
x
12. Solve the inequation + 9 ≤ x + 4, x ∈{6, 7, 8, 9}.
3
13. The perimeter of a rectangle is 156 cm. If the two adjacent sides is 8 cm longer than the other,
find the lengths of the sides.

2
2
2
2
14. Subtract the sum of 5x –6x + 3 and –3x – 2x + 5 from the sum of 3 + 4x and 7 – 2x + 3x .
15. Solve 14x + 1 ≤ 6x + 49 and represent the solution set graphically.
16. Find the solution set of 3(5 – x) ≥ 2(x – 4) if the replacement set is {0, 1, 2, 3, 4, 5}.

17. The sum of three consecutive positive numbers is 102. Find the numbers.

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