Thursday, 25 May 2017
Wednesday, 24 May 2017
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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- -------------------------
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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.
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