# Algebraic Expressions Worksheet

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Algebraic expressions are the expressions which contain one unknown variable. If we simplify the given algebraic expressions we can find out the value of the unknown variable. Let us discuss algebraic expressions with some of the examples. We can verify the value of the unknown value by substituting the value in the equation again and simplifying.

Example 1: Find out the value a in the equations 2a + 6 = 20.

Solution: The given equation is 2a + 6 = 20. In this equation now subtract 6 on both sides then we will get it as 2a + 6 – 6 = 20
– 6 which is equal to 2a = 14 now divide the equation by 2 on both sides then we will get it as 2a / 2 = 14 / 2 which is equal to a = 7. The required value of a is 7. Now we can verify this by substituting a value in 2a + 6 = 20 which equal to 2 (7) + 6 = 20 that is 14 + 6 = 20.

Example 2: Find out the value of the x in the equation x^2 + 16 = 25.

Solution: The given equation is x^2 + 16 = 25 now on both the sides subtract 16 then we will get it as x^2 + 16 – 16 = 25 – 16 which is equal to x^2 = 9 now take square roots on both the sides then we will get it as x = square root (9) which is equal to +- 3.