Fundamentals of Mathematics, 2008a

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11.3.2.1 Sample Set A
Simplify each expression by combining like terms.
Example 11.12
2m + 6m − 4m. All three terms are alike. Combine their coecients and ax this result to m:
2 + 6 − 4 = 4.
Thus, 2m + 6m − 4m = 4m .
Example 11.13
5x + 2y − 9y. The terms 2y and −9y are like terms. Combine their coecients: 2 − 9 = −7.
Thus, 5x + 2y − 9y = 5x − 7y .
Example 11.14
−3a + 2b − 5a + a + 6b. The like terms are
−3a,
}
− 5a,
{{
a 2b, 6b
} } {{ }
−3−5+1=−7
−7a
2+6=8
8b
Thus, −3a + 2b − 5a + a + 6b= − 7a + 8b.
Example 11.15
r − 2s + 7s + 3r − 4r − 5s . The like terms are
Thus, r − 2s + 7s + 3r − 4r − 5s = 0 .
11.3.2.2 Practice Set A
Simplify each expression by combining like terms.
Exercise 11.3.1 (Solution on p. 683.)
4x + 3x + 6x
Exercise 11.3.2 (Solution on p. 683.)
5a + 8b + 6a − 2b
Exercise 11.3.3 (Solution on p. 683.)
10m − 6n − 2n − m + n
Exercise 11.3.4 (Solution on p. 683.)
16a + 6m + 2r − 3r − 18a + m − 7m
Exercise 11.3.5 (Solution on p. 683.)
5h − 8k + 2h − 7h + 3k + 5k
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