Glencoe Math: Course 2, Volume 2
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Glencoe Math: Course 2, Volume 2 View details
6. Add Linear Expressions
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Exercise 16 Page 400

Remember, only like terms can be combined.

C

Practice makes perfect
We want to find which of the given expressions is equivalent to the following one. (9x-4)+13(3x-2) To do so, we will simplify the above expression. First, let's use the Distributive Property to simplify our expression.
(9x-4)+13(3x-2)
(9x-4)+(13 * 3x- 13 * 2)
(9x-4)+(39x - 26)
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. ( 9x - 4)+( 39x - 26) 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. & 9 x - 4 &+ 39 x - 26 & 48 x -30 Therefore, we get the following result. (9x-4)+13(3x-2)=48x -30 The original expression is equivalent to the expression C.