Drag each equation to show if it could be a correct first step to solving the equation 3(6 + x) = 24.
18 + x = 24
(3 • 6) + (3 • x) = 24
6 + x = 8
3(6 + x) = 72
6 + 3x = 24
18 + 3x = 24
Yes
No
Not Enough Information
Is the equation a correct first step to solving 3(6 + x) = 24?
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To determine if each equation could be a correct first step in solving the equation (3(6 + x) = 24), we can analyze them one by one.
1. 18 + x = 24 – No (This implies removing multiplication incorrectly.)
2. (3 • 6) + (3 • x) = 24 – Yes (This is distributing correctly.)
3. 6 + x = 8 – No (This is an incorrect simplification.)
4. 3(6 + x) = 72 – No (This changes the original equation incorrectly.)
5. 6 + 3x = 24 – No (This incorrectly rearranges the equation.)
6. 18 + 3x = 24 – Yes (This results from the correct distribution leading to further steps.)
In summary:
– Yes: (3 • 6) + (3 • x) = 24, 18 + 3x = 24
– No: all others
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