Page 278 - ICSE Math 8

Self-Testing Exercise 3

ALGEBRA

1. Simplify the following.
3
2
2
2
2
3
(a) (3x + 4x + 2)(6x + 5) (b) 8x – 4x + 3x – 15x – 7
3
2
2
(c) 16p q + 36pq ÷ 4p q (d) 7z – [4z – 3z – 7y – 3{13z – 2y – 3z}]
1 1
2
2. Find the value of x + , if x + = 4.
x 2 x
2
2 2
2
3. Factorize: (a) 26a – 17ab + 2b (b) 2x y – 128y 4
2
2
2
2
4. Factorize a b – b a. Using this, find the value of (15) × 5 – (5) × 15.
2
3x + 10x + 3
5. Reduce to the lowest term.
2
x – 4x – 21
2 1 3
6. Solve y – 2 + y – 1 = y – 3 and find the value of x if 3x – 2y + 1 = 0.
6a – 5 a
7. Solve the equation a + 5 = – 5.
3
2
8. Find the solution set of (y – 1) + 4 < 10, y ∈ R and represent it on a number line.
3
9. Find three consecutive odd integers whose sum is 45.
2
2
2
2
10. Factorize pq – pr . Using this, find the value of 5 × 7 – 4 × 5.
11. Find the product of (4x + 3y – 2) and (–3x + 5y).
4
2
2
4
12. What should be added to 5x + 9y – 3z to get 9x – 5y + 2z + 3.
2
2
13. Using expansions of (a + b) or (a – b) , solve the following.
2
(a) (10.2) (b) (9.8) 2

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