Algebra 1: Combining Like Terms
Introduction
Combining like terms is a fundamental skill in algebra. It involves simplifying expressions by merging terms that have the same variables and exponents. This process helps to make algebraic expressions easier to work with.
Examples
Example 1
Simplify the expression: 3x + 4x - 2
Combine like terms: 3x + 4x = 7x
The simplified expression is: 7x - 2
Example 2
Simplify the expression: 5a - 2b + 3a + b
Combine like terms: 5a + 3a = 8a and -2b + b = -b
The simplified expression is: 8a - b
Exercises
Exercise 1
Simplify the expression: 7y - 3y + 5
Combine like terms: 7y - 3y = 4y
The simplified expression is: 4y + 5
Exercise 2
Simplify the expression: 9m - 4 + 2m + 6
Combine like terms: 9m + 2m = 11m and -4 + 6 = 2
The simplified expression is: 11m + 2
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