work sheet equation and identities VIII kb

                 Worksheet 1

EQUATION AND IDENTITIEs 2017

    1.      m = x/3  +   y/2  find m if x = -6 and y = -4                                                                

                            2.       Price of a pen and a pencil together is 18 and price of pen is 5 times price of pencil find                       the price of each.

                  3.      Observe the pattern

                      3² + 9²     =   3² x 10

                      4² + 12²   =   4² x 10

                      5² + 15²   =   5² x 10

                       6² + 18²   =   6² x 10

                                                                                                                      -------------------  

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                 i                     Write the next three sequence

                 ii.                  Explain the pattern using algebra 

                             iii.                Using that find 13² + 39²  

                 4.      Father’s age is 10 times son’s age. After 10 years. Father’s age is one more than 3 times                       son’s age. Find their present age.

                5.      Take two numbers ends in 9

                  i.                    The squares of these numbers ends in which digit. Explain with example.

                  ii.                  Explain these through algebra.

                6.      Prove that Sum of three consecutive numbers is double of the middle number, give two                         examples to explain this.

                  i.                    Write the method using algebra.

                 ii.                  Which of the following is sum of three consecutive odd numbers.                  ( 18, 17,  24, 39)

              7.      In a triangle second side is 5 more than first side, third side is 5 more than second

                     Perimeter  the triangle is 60. Find the sides.

               8.      Observe the pattern

1² + 2²     =   2(1²+ 1) + 1

2² + 3²     =   2(2²+ 2) + 1

3² + 4²     =   2(3²+ 3) + 1

4² + 5²     =   2(4²+ 4) + 1

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i.                    Find three more sequence

ii.                  Explain through algebra.

iii.                Find   20² + 21²    

9.      Find first four numbers which is divisible by 5 gets remainder 4

i.                    Write the algebraic form of that numbers

ii.                  Write the algebraic form of square of that number.