Page 251 - ICSE Math 6

Self-Testing Exercise 3

ALGEBRA

1. Write the degree of each of the following polynomials.

6
5
2
(a) 5 + x (b) 3x + 2x 3 (c) p – p – p
8
2. Add the following.
2
2
2
2
(a) 2a + 3b + 5c and 5a – 3b – 6c (b) 12x y + 5xy + 1 and –5x y + 7xy – 7

2
2
2
2
2
2
2
2
(c) 5l + lm + m and l + 5lm – m 2 (d) a + b – 7c and –4a – 5b + 8c 2
3. Subtract the following.
2
2
2
2
(a) 6ab – 3bc from 7ab – 2bc (b) 2lm + l – m from 3l – m + 3lm
2
2
2
2
2
2

2
(c) 7p – 8p – 9 from 10 – 8p + p (d) a + 3b + 13c from –3a + 5b – 7c 2
3
2
2
4. Simplify 2y × (3x + 2z ) + (xy + z) × (4x – 2yz)
5. Simplify the following.
{ 2 ( ) } 2 2
(a) 4 x – xx + 5 3–x x + 5 (b) 10a – [ab + b – {a + 5a – 6b} – b ]
2
6. Find the value of 3x + 2y – 5 when x = –4 and y = 5.
2
7. Multiply 3a by (2ab – 3b ) and find the value of the product when a = –2 and b = 4.
8. Solve the following equations and verify the solution.
 2x 
(a) 2(x – 4) = –6 (b) 5   15 + 2 = 25


9. The perimeter of a square is 22 m. Find the length of the side of the square.
10. Find the number which when divided by 5 gives 7 as quotient and 2 as remainder.
11. One-third of a number when added to one-fourth of the same number gives 63. Find the number.
12. The sum of two consecutive odd numbers is 272. Find the numbers.

13. Prashant subtracts 6 from a number and then divides the difference by 3. If the quotient is 22
and there is no remainder, find the number.

14. Simplify 3a −  2b − { 4a − ( 2b − 2a + 2b )} 
 

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