Formative -2
Question Bank
Class VII
Chapter 6
Mathematics
Algebraic expressions
1mark
1. Express the following in the form of algebraic expressions.
a. x cube is added to y square
b. z is multiplied by itself.
c. Product of variables x and y subtracted from 10
d. Sum of a and b subtracted from their product.
2. Identify the monomials binomials and trinomials from the following.
(i)
4y – 5z
(ii) x3
(iii) 7xyz
(iv) 3x2 +7y –2x
(v) 5 – 3t
3. Identify the terms which contain x and write the coefficient of x
(i)
y2x + y
(ii) 13 y2 – 8yx
(iii) 1 + x – xy
(iv) 12xy2 + 25
4. Identify the like terms in the following algebraic expression.
– x y2 , 4 yx2 , 7x2 , 2xy2 , 7y , –11 yx , 20 x2y , – 6yx
5. Write the numerical coefficient of each term of the following algebraic expression.
x3 – 3 x2 + 2xy –x2y
6. Write the coefficient of :
(i)
x in – 5x (ii) a in 2ab2 (iii) x3 in x3 + 1
7. Add
(i)
3mn, – 5mn, 8mn, – 4mn
(ii)
(ii) 4x2y , 3xy2 , –7x2y , – 10 xy2
(ii)
x + y+ 3 and 3x – 2x + 5
(iii)
6a2 + 2a3 and – 4a2 + 9a3
8. Subtract:
(i)
6xy from –12xy
(ii)
(a – b) from (a + b)
(iii)
9a2 from – 3a2
(iv) x2 in –x2
9. Find the value of 2x – 7 if x = – 1 .
10. Find the value of a2 + b2 , if a = 2 and b = - 2
2 marks
11. Add
(i)
– 7mn + 5, 12mn + 2, 9mn – 8, – 2mn – 3
( Ii )
5m – 7n, 3n – 4m + 2,
(iv)
3p2q2 – 4pq + 5, – 10 p2 q2, 15 + 9pq + 7p2 q2
(v)
x2 – y2 – 1,
2m – 3mn – 5
y2 – 1 – x2, 1 – x2 – y2
12. Subtract :
(i)
–m2 + 5mn from 4m2 – 3mn + 8
(ii)
5a2 – 7ab + 5b2 from 3ab – 2a2 – 2b2
(iii)
4pq – 5q2 – 3p2 from 5p2 + 3q2 – pq
13. Find the value of the following expressions for a = 3, b = 2.
(i) 7a – 4b (ii) a2+ 2ab + b2
14. If z = 10, find the value of z3– 3(z – 10).
15.
Identify, in the following expressions, terms which are not
constants. Give their numerical coefficients:
xy + 4, 13 – y2,
3 – y + 5y2,
4p2q – 3pq2 + 5
3marks
16. What should be added to x2+ xy + y2 to obtain 2x2 + 3xy?
17. What should be subtracted from 2a + 8b + 10 to get – 3a + 7b + 16?
18. What should be taken away from 3x2 – 4y2 + 5xy + 20 to obtain – x2 – y2+ 6xy + 20?
19. If p = – 10, find the value of p2 – 2p – 100 ?
20. Add : 4x + 10y – 12xy – 13, 18 – 7x – 10y + 8xy, 4xy – 5x +12 + 6y
21.
Subtract 24ab – 10b – 18a from 30ab + 12b + 14a
22.
Simplify the expression and find its value when a = 5 and b = – 3.
2(a2 + ab) + 3 – ab
4 marks
23. From the sum of 3x – y + 11 and – y – 11, subtract 3x – y – 11.
24. From the sum of 4 + 3x and 5 – 4x + 2x2, subtract the sum of 3x2 – 5x and –x2 + 2x + 5.
25. Simplify and find the value if x = 2
(i) x + 7 + 4 (x – 5)
26. From the sum of
(ii) 3 (x + 2) + 5x – 7
(iii) 6x + 5 (x – 2) (iv) 4(2x – 1) + 3x + 11
2y2+ 3yz , – y2 – yz – z2 and yz + 2z2, subtract the
sum of 3y2– z2 and –y2 + yz + z2
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Chapter 7 Simple Equations
1 mark
1.
2.
3.
4.
Write the equation for ‘The sum of two times y and 10 is 42 ‘.
In an equation there is always an __________ sign.
In Equation 6x + 7 = 19, the L.H.S. is ________.
Solve the following equations:
a.
b.
2q + 6 = 0
2p + 6 = 12
5. What is n in 3n – 2 = 46?
6. Write the equation for ‘One third of a number plus 5 is 8. ‘.
7.
Write the equation for ‘The sum of three times x and 11 is 32 ‘.
8. Raman’s father’s age is 5 years more than three times Raman’s age. Raman’s father is
44 years old. Set up an equation to find Raman’s age.
9. Laxmi’s father is 49 years old. He is 4 years older than three times Laxmi’s age.
(Take Laxmi’s age to be y years.) Set up an equation.
10. What is y in 10y – 20 = 50?
11 . Solve the following equations:
a. 3s + 12 = 0
b. 3s = 0
12. Write the equation for ‘If you subtract 5 from 6 times a number, you get 7 ‘.
13. Solve the following equations:
(i)
x
5
8
(ii)
p
 8
5
(iii) 8x = 48
(iv) 3x – 8 = 7
(v) 2(x + 4) = 12
14 . Solve the following equations:
a. 10p = 100
b. 10p + 10 = 100
15. Irfan says that he has 7 marbles more than five times the marbles Parmit has. Irfan has
37 marbles. (Take m to be the number of Parmit’s marbles.) Set up an equation
16. Identify the linear equation in one variable.
(i) x2 + 6
(ii) x+ 5 = 8
(iii)
x
+7=9
5
2 marks
16. Verify by substitution that
(i) x = 10 is the solution of
x 1
 3
4 2
(ii) y = 4 is the solution of 2x + 7 = 15.
(iv) x + y = 12
(v) x3 +1 = 8
17. Solve the following equations.
(i) 4 + 5 (m – 1) = 34
(ii)
34 – 5(m – 1) = 4
18. Solve the following equations:
(i) – 4(2 – x) = 9
(ii) 4(2 – x) = 9
19. Find a number, such that one fourth of the number is 3 more than 7.
20. The sum of three times a number and 11 is 32. Find the number.
21. Find two consecutive natural numbers whose sum is 99.
22. If a number is multiplied by 5 and 8 is subtracted from the product, the result is 12. Find
the number.
23. Eight times the price of a pen is 12 more than four times its price. What is the price of the
pen.
24. Solve the equation:
(i) 4+ 5( x – 1 ) = 34
(ii) 10 – 3 (x + 4) = 15
(iii)
x
x
 3
4
3
3 marks
25 . Rani’s father is 49 years old. He is 4 years older than three times Rani’s age. What is
Rani’s age?
26. The length of a rectangle is 5 cm more than its breadth . If the perimeter of the rectangle is
40 cm, find the dimensions of the rectangle.
27. Solve the equation.
4 ( 2x – 3 ) + 5( 3x – 4 ) = 16
28. Naresh is 5 years older than Babita. Five years ago, Naresh was twice as old as Babita.
Find their present ages.
29. Sarika’s father is 25 years older than Sarika. After 10 years, he will be twice as old as Sarika.
Find their present ages.
30. The cost of a book is 25 more than twice the cost of a geometry box. Find the cost of the
book if the total cost is Rs 130.
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