#### Algebra Model Question Paper

7th Standard

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Maths

Time : 01:00:00 Hrs
Total Marks : 40
5 x 1 = 5
1. An algebraic statement which is equivalent to the verbal statement “Three times the sum of x and y” is

(a)

3(x + y)

(b)

3 + x + y

(c)

3x + y

(d)

3 + xy

2. The addition of 3mn, −5mn, 8mn and −4mn is

(a)

mn

(b)

-mn

(c)

2mn

(d)

3mn

3. When we subtract ‘a’ from ‘-a’, we get _______

(a)

0

(b)

2a

(c)

-2a

(d)

-a

4. The generalization of the number pattern 3, 6, 9, 12,… is

(a)

n

(b)

2n

(c)

3n

(d)

4n

5. The equation y + 1 = 0 is true only when y is

(a)

0

(b)

-1

(c)

1

(d)

-2

6. 5 x 2 = 10
7. Identify the like terms among the following : 7x, 5y, −8x, 12y, 6z, z, −12x, −9y, 11z.

8. Subtract:
(i) 4k from 12k
(ii) 15q from 25q
(iii) 7xyz from 17xyz.

9. Subtract
(i) 13x + 12y − 5 from 27x + 5y − 43
(ii) 3p + 5 from p − 2q + 7
(iii) m + n from 3m − 7n.
(iv) 2y + z from 6z − 5y.

10. Group the like terms together from the following :6x, 6, -5x, - 5, l,x, 6y,y, 7y, 16x, 3

11. Give the algebraic expressions for the following cases:
(i) One half of the sum of a and b.
(ii) Numbers p and q both squared and added

12. 5 x 3 = 15
13. Find the numerical co-efficient of the following terms. Also, find the co efficient of x and y in each of the term: 3x, - 5xy, - yz, 7xyz, y, 16yx.

14. Find two consecutive natural numbers whose sum is 75.

15. A school bus starts with full strength of 60 students. It drops some students at the first bus stop. At the second bus stop, twice the number of students get down from the bus. 6 students get down at the third bus stop and the number of students remaining in the bus is only 3. How many students got down at the first stop?

16. If A=2a2-4b-1; B=5a2+3b-8 and C=2a2+9b+3 then find the value of A-B+C.

17. What should be added to 2b2 - a2 to get b2 - 2a2

18. 2 x 5 = 10
19. i) Add: 3x − 4y + z and 2x − z + 3y
ii) Subtract 2x − 5y from 4x + 3y

20. Simplify 3x - 5 - x + 9 if x = 3