#### Algebra Model Question Paper

7th Standard

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Maths

Time : 01:30:00 Hrs
Total Marks : 50
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 value of 7a − 4b when a = 3, b = 2 is

(a)

21

(b)

13

(c)

8

(d)

32

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 1 = 5
7. The variable in the expression 16x − 7 is _________

()

x

8. In the expression 25m + 14n, the type of the terms are ________ terms.

()

unlike

9. The numerical co-efficient of the term −xy is ________.

()

-1

10. The additive inverse of − 37xyz is __________

()

37 xyz

11. The sum of twice and four times of the variable x is ______

()

6x

12. 4 x 1 = 4
13. x + ( −x) = 0

(a) True
(b) False
14. The co-efficient of ab in the term 15abc is 15.

(a) True
(b) False
15. The expressions 8x + 3y and 7x + 2y can not be added.

(a) True
(b) False

(a) True
(b) False
17. 7 x 2 = 14
18. Find the numerical coefficient of each of the following terms: −3yx, 12k, y, 121bc, − x, 9pq, 2ab

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

20. Find the sum of the following expressions
(i) 7p + 6q, 5p − q, q + 16p
(ii) a + 5b + 7c, 2a + 10b + 9c
(iii) mn + t, 2mn − 2t, − 3t + 3mn
(iv) u + v, u − v, 2u + 5v, 2u − 5v.
(v) 5xyz − 3xy, 3zxy − 5yx

21. What should be added to 3x + 6y to get 5x + 8y?

22. The taxi charges in a city comprise of a fixed charge of Rs.100 for 5 kms and Rs.16 per km for every additional km. If the amount paid at the end of the trip was Rs.740 find the distance travelled.

23. Six times a number subtracted from 40 gives −8. Find the number.

24. What should be subtracted from 2m + 8n + 10 to get −3m + 7n + 16?

25. 4 x 3 = 12
26. Identify the variables, terms and number of terms in each of the following expressions: (i)12 −x
(ii) 7 + 2y
(iii) 29+3x+5y
(iv) 3x–5+7z

27. A person has Rs.960 in denominations of Rs.1, Rs.5 and Rs.10 notes. The number of notes in each denomination is equal. What is the total number of notes?

28. 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?

29. How much 2x3-2x2+3x+5 is greater than 2x3+7x2-2x+7?

30. 2 x 5 = 10
31. Simplify:100x + 99y – 98z + 10x + 10y + 10z – x – y + z

32. Rani earns Rs.200 on the first day and spends some amount in the evening. She earns Rs.300 on the second day and spends double the amount as she spents on the first day. She earns Rs.400 on the third day and spends 4 times the amount as she spents on the first day. Can you give an algebraic expression of the total amount with her, at the end of the third day.