The commutative property of addition allows us to simplify expressions by combining like terms. Since we can add terms in any order without changing the result, a simplified, equivalent expression will result in the same sum. But what if subtraction is involved in an expression? Just change the subtracted term to a negative term and switch the minus sign to a plus sign. For example, the expression 4a + 2 - 3a + 1 can be changed to 4a + 2 + -3a + 1. From there, you can simplify to a + 3, the equivalent expression. If the resulting equivalent expression includes addition of a negative term, it can be switched back to subtraction. For example, 3p° + c + 3p² - 3c can be simplified to 6p + -2c and then adjusted to 6p² - 2c. 3w +6 - 4w + 3b + 2 + 2b = A 5b - w + 8 в 7w + 5b + 8 5b - w? + 8 D 4wb + 8

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.5: The Distributive Property
Problem 32WE
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Use the text below to answer the question.
The commutative property of addition allows us to simplify expressions by combining like
terms. Since we can add terms in any order without changing the result, a simplified,
equivalent expression will result in the same sum. But what if subtraction is involved in an
expression? Just change the subtracted term to a negative term and switch the minus sign to
a plus sign. For example, the expression 4a + 2 - 3a + 1 can be changed to 4a + 2 + -3a + 1.
From there, you can simplify to a + 3, the equivalent expression. If the resulting equivalent
expression includes addition of a negative term, it can be switched back to subtraction. For
example, 3p2 + c
+ 3p² - 3c can be simplified to 6p2 + -2c and then adjusted to 6p2 - 2c.
3w + 6 - 4w + 3b + 2 + 2b =
A
5b - w + 8
B
7w + 5b + 8
5b - w? + 8
D
4wb + 8
Transcribed Image Text:Read & Respor Use the text below to answer the question. The commutative property of addition allows us to simplify expressions by combining like terms. Since we can add terms in any order without changing the result, a simplified, equivalent expression will result in the same sum. But what if subtraction is involved in an expression? Just change the subtracted term to a negative term and switch the minus sign to a plus sign. For example, the expression 4a + 2 - 3a + 1 can be changed to 4a + 2 + -3a + 1. From there, you can simplify to a + 3, the equivalent expression. If the resulting equivalent expression includes addition of a negative term, it can be switched back to subtraction. For example, 3p2 + c + 3p² - 3c can be simplified to 6p2 + -2c and then adjusted to 6p2 - 2c. 3w + 6 - 4w + 3b + 2 + 2b = A 5b - w + 8 B 7w + 5b + 8 5b - w? + 8 D 4wb + 8
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