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The basic of Algebra It contains about Algebra.important equations of Algebra and its question answers.
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Basics of Algebra cover the simple operation of mathematics like addition, subtraction, multiplication, and division involving both constant as well as variables. For example, x+10 =
Solution: Using the identity: (a+b)^2 = a^2 + b^2 + 2 ab, we get; (2x+y) = (2x)^2 + y^2 + 2.2x.y = 4x^2 + y^2 + 4xy 6: Solve (99)2 using algebraic identity. Solution: We can write, 99 = 100 - Therefore, (100 โ 1 )^2 = 100^2 + 1^2 โ 2 x 100 x 1 [By identity: (a -b)^2 = a^2 + b^2 โ 2ab = 10000 + 1 โ 200 = 9801 Algebra Word Problems Question 1: There are 47 boys in the class. This is three more than four times the number of girls. How many girls are there in the class? Solution: Let the number of girls be x As per the given statement, 4 x + 3 = 47 4x = 47 โ 3 x = 44/ x = 11 Question 2: The sum of two consecutive numbers is 41. What are the numbers? Solution: Let one of the numbers be x. Then the other number will x+ Now, as per the given questions, x + x + 1 = 41