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Q. 5.     Solve the following riddles, you may yourself construct such riddles.

(i) Go round a square Counting every corner Thrice and no more! Add the count to me To get exactly thirty four!

(ii) For each day of the week Make an upcount from me If you make no mistake You will get twenty three!

(iii) I am a special number Take away from me a six! A whole cricket team You will still be able to fix!

(iv) Tell me who I am I shall give a pretty clue! You will get me back If you take me out of twenty two!

5. (i) Square has 4 sides.   Counting every corner Thrice and no more! Implies we go around square thrice,i.e. 12 times. Add the count to me To get exactly thirty - four! Let us assume the number as y, we get 34.  12+y=34   So, 22 is the number .   (ii) If 23 is number for Sunday.    Then counting up, Saturday is 22, Friday is 21, Thursday is 20.  Wednesday is 19, Tuesday is 18, Monday is 17...

Q. 4.     (d) Complete the table and find the solution to the equation  $m-7=3.$

(d)   m 5 6 7 8 9 10 11 12 13 14 15 m - 7 -2 -1 0 1 2 3 4 5 6 7 8   At m=10, m-7 = 3 Thus, m=10 is  the solution

Q. 4.    (c) Complete the table and find the solution of the equation $z/3=4$ using the table.

(c)   z 8 9 10 11 12 13 14 15 16 17 18 19 20 3 4 5 6 At z = 12 , Thus, z= 12 is a solution.

Q. 4.    (b) Complete the table and by inspection of the table, find the solution to the equation  $5t=35.$

(b)   t 3 4 5 6 7 8 9 10 11 12 13 14 15 16 5t 15 20 25 30 35 40 45 50 55 60 65 70 75 80 At t=7, 5t = 35 Thus, t = 7 is the solution.

Q. 4.     (a) Complete the table and by inspection of the table find the solution to the equation $m+10=16.$

(a) m 1 2 3 4 5 6 7 8 9 10 11 12 13 m+10 11 12 13 14 15 16 17 18 19 20 21 22 23    At m = 6, m+10=16      Thus, m =6 is a solution.

Q. 3.     Pick out the solution from the values given in the bracket next to each equation. Show that the other values do not satisfy the equation.

(a) $5m=60$                    $(10,5,12,15)$

(b)$n+12=20$              $(12,8,20,0)$

(c) $p-5=5$                  $(0,10,5,-5)$

(d) $\frac{q}{2}=7$                          $(7,2,10,14)$

(e) $r-4=0$                  $(4,-4,8,0)$

(f) $x+4=2$                    $(-2,0,2,4)$

(a) Putting given values in LHS.                                                                                 m = 10 is not a solution.                             m = 12 is a solution.                                                                                   m = 5 is not a solution.                              m = 15 is not a solution.       (b) Putting given values in LHS.    ...

Q. 2.     Complete the entries in the third column of the table.

S. no. Equation Value of variable Equ.satisfied Yes/No Sol. of LHS (a) 10 y =80   y = 10      No (b) 10 y = 80   y = 8      Yes (c) 10 y = 80     y = 5       No (d)  4l = 20    l = 20        No   (e)  4l = 20   l = 80         No (f)  4l = 20    l =5         Yes (g)   b + 5 =9   b = 5          No (h)   b + 5=9  b = 9           Yes (i)   b+5=9   b = 4        ...

Q. 1.     State which of the following are equations (with a variable). Give reason for your answer. Identify the variable from the equations with a variable.

(o)  $7-x=5$

(o) It is an equation of variable x.

Q. 1.     State which of the following are equations (with a variable). Give reason for your answer. Identify the variable from the equations with a variable.

(n)  $20-(10-5)=3\times 5$

(n) It is an equation with no variable.

Q. 1.     State which of the following are equations (with a variable). Give reason for your answer. Identify the variable from the equations with a variable.

(m)  $z+12> 24$

(m) It is not an equation as LHS is greater than RHS.

Q. 1.     State which of the following are equations (with a variable). Give reason for your answer. Identify the variable from the equations with a variable.

( l) $\frac{3q}{2}< 5$

(l) It is not an equation as LHS is less than RHS.

Q. 1.     State which of the following are equations (with a variable). Give reason for your answer. Identify the variable from the equations with a variable.

(k)  $20=5y$

(k) It is an equation of varaible y.

Q. 1.     State which of the following are equations (with a variable). Give reason for your answer. Identify the variable from the equations with a variable.

( j)  $7=(11\times 2)+p$

(j) It is equation of variable p.

Q. 1.     State which of the following are equations (with a variable). Give reason for your answer. Identify the variable from the equations with a variable

.(i) $7=(11\times 5)-(12\times 4)$

(i) It is an equation with no variable as both sides are equal.

Q. 1.     State which of the following are equations (with a variable). Give reason for your answer. Identify the variable from the equations with a variable.

(h) $2n+1=11$

(h) It is an equation of variable as both sides are equal. The variable is n.

Q. 1.     State which of the following are equations (with a variable). Give reason for your answer. Identify the variable from the equations with a variable.

(g) $2m< 30$

(g) It is not an equation because LHS is less than RHS.

Q. 1.     State which of the following are equations (with a variable). Give reason for your answer. Identify the variable from the equations with a variable.

(f )  $x-2=0$.

(f) It is an equation of variable x.

Q. 1.     State which of the following are equations (with a variable). Give reason for your answer. Identify the variable from the equations with a variable.              (e) $5\times 4-8=2\; x$

(e) It is an equation of variable as both sides are equal. The variable is x.

Q. 1.     State which of the following are equations (with a variable). Give reason for your answer. Identify the variable from the equations with a variable.

(d) $(7\times 3)-19=8$

(d) It is an equation with no variable. It is a numerical equation.

Q. 1.     State which of the following are equations (with a variable). Give reason for your answer. Identify the variable from the equations with a variable.

(c) $\frac{4}{2}=2$

(c) It is an equation with no variable. We may call this a numerical equation
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