Glencoe Math: Course 2, Volume 2
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Glencoe Math: Course 2, Volume 2 View details
7. Subtract Linear Expressions
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Exercise 20 Page 409

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

-4x-7

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.
(-6x-11)-(-2x - 4)
(-6x-11)+((-1) * (-2x) - (-1) * 4)
(-6x-11)+(2x - (-1) * 4)
(-6x-11)+(2x - (-4))
(-6x-11)+(2x +4)
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.

( -6x - 11)+( 2x + 4) 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. & -6 x -11 &+ 2 x +4 & -4 x -7 Therefore, we get the following result. (-6x-11)-(-2x - 4) = -4x-7