Answer:
- (a) 7x +6x, (d) 13x
- (b) 3 +27y, (c) 3·1 +3·9y
Explanation:
You want to identify the expressions equivalent to 11x -4x +6x and 3(1 +9y).
Simplify
We can identify the equivalent expressions by putting them all in their simplest form. This means using the distributive property to eliminate parentheses, and combining like terms.
(a) 11x -4x +6x
The simplified version of the given expression is ...
(11 -4 +6)x = 13x
The other expressions simplify to ...
7x +6x = (7+6)x = 13x . . . equivalent
7x -6x = (7 -6)x = 1x = x . . . not equivalent
13 +x (already simplest) . . . not equivalent
13x (already simplest) . . . equivalent
(b) 3(1 +9y)
The simplified form of the given expression is ...
3·1 +3·9y = 3 + 27y
The other expressions simplify to ...
3 +1·3 +9y = 6 +9y . . . not equivalent
3 +27y . . . equivalent
3·1 +3·9y = 3 + 27y . . . equivalent
3 +9y (already simplest) . . . not equivalent
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