Glencoe Math: Course 2, Volume 2
GM
Glencoe Math: Course 2, Volume 2 View details
7. Subtract Linear Expressions
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Exercise 1 Page 406

To find the additive inverse of a linear expression, you can multiply each term of the expression by -1.

3x-1

Practice makes perfect
First, let's find the additive inverse of the linear expression within the second set of parentheses. To do so, we can distribute -1 into the second set of parentheses. When we do so, we multiply each term of that linear expression by -1.
(2x+4)-(- x + 5)
(2x+4)+(- 1)(- x + 5)
(2x+4)+ (-1)(- x) + (-1)(5)
(2x+4)+x + (-1)(5)
(2x+4)+x-5
Now, let's identify which, if any, terms can be combined. Remember, only like terms — constant terms or terms with the same variable — can be combined.

( 2x + 4)+ x - 5 In this case, we have two x-terms and two constants. Let's arrange the like terms in columns. Then, let's perform the addition. & 2 x +4 &+ x - 5 & 3 x -1 Therefore, we get the following result. (2x+4)-(- x + 5) = 3x-1