Page 4 - Algebra 1

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Algebraic Equation
An algebraic equation is a mathematical expression with two expressions equal to each other. The algebraic equation of the above example,
4x – 7 = 1 or
4x – 7 = 5
The statement on the left-hand side equals the statement on the right-hand side. A basic difference between an algebraic expression and algebraic equation it the ‘=’ operator.
Worked Example 1
Which of the following are an algebraic expression and algebraic equation?
a. 5y + 8
b. 7z – 10 = 4
c. x + 2 = 5
Solution:
a. It’s an algebraic expression because ‘=’ operator is absent.
b. It’s an algebraic equation because it has a ‘=’ operator.
c. It’s an algebraic equation because it has a ‘=’ operator.
Page 3 of 54
ALGEBRA
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