CBSE Class 6 Mathematics Algebra Worksheet Set D

I) Fill in the blanks :

1. Letters used to represent numbers are called _________________
Answer : Variables

2. The literals whose value vary from problem to problem are called _____________
Answer : Variables

3. Numerals whose value is fixed are called _____________________
Answer : Constants

4. The statement of equality which involves literals is called an ___________
Answer : Equation

5. The value of the variable which satisfies the equation is called the _to the equation
Answer : Solution

II) Write the expression :

1. m increased by 8
Answer : m+8

2. b decreased by 31.
Answer : b-31

3. Five items x increased by 5 gives 55.
Answer : 5x+5 = 55

4. Half of p subtracted from the sum of a and b.
Answer : 4.(a+b) - 1/2p

5. Product of 7 and x divided by the difference of 7 and x.
Answer : 1/4 (x-y)

6. Sum of p, q and r divided by the product of a and 5.
Answer : n-4 = 36

7. One fourth of the difference of x and y.
Answer : z-2x

8. 4 subtracted from n, gives 36.
Answer : 50-m = 15

9. z minus twice x.
Answer : 7x/7 - x

10. m taken away from 50, gives 15.
Answer : p+q+r/5a

III) Identify the solution and show that other values do not satisfy

1. X+8 = 24 (x = 3, x = 15, x = 16, x = 0)
Answer : 1. x = 16

2. 4a = 32 (a = 8, a = 4, a = 6, a = 7)
Answer : a = 8

3. y-9 = 29 (y = 20, y = 38, y = 37, y = 39)
Answer : y = 38

4. 𝑝/5 = 16 (p = 75, p = 85, p = 90, p = 80)
Answer : p = 80

IV) Solve :

1. X+11 = 30
Answer : x = 19

2. 6a = 24
Answer : a = 4

3. m - 5 = 2
Answer : m = 7

4. 𝑥/4 = 2
Answer : x = 8

5. 𝑥/7 = 5
Answer : x = 35

6. 𝑎/9 = 4
Answer : a = 36

7. 10n = 70
Answer : n = 7

8. 16 = y+10
Answer : y = 6

9. t-14 = 0
Answer : t = 14

10. 4x = 32
Answer : x = 8

11. 17-p = 15
Answer : p = 2

12. 23-y = 0
Answer : y = 23