Question
Select all expressions that are equivalent to this algebraic expression: 5 (3x + 9)
8x +14
5x 3x + 5 x 9
5x 3x + 9
15 + 9
15x + 45
8x +14
5x 3x + 5 x 9
5x 3x + 9
15 + 9
15x + 45
Answers
GPT-4o mini
Let's simplify the given expression step by step:
The expression is:
\[ 5(3x + 9) \]
Distributing the 5 inside the parentheses:
\[ 5 \cdot 3x + 5 \cdot 9 = 15x + 45 \]
Now we can compare this with the options provided:
1. **8x + 14** - Not equivalent.
2. **5x 3x + 5 x 9** - Looks like a typo, but interpreted as `5x + 3x + 5 * 9` is \(5x + 3x + 45\), which simplifies to \(8x + 45\) - Not equivalent.
3. **5x 3x + 9** - This seems to be incorrect, probably missing operators. Not clear, but likely not equivalent.
4. **15 + 9** - Simplifies to \(24\) - Not equivalent.
5. **15x + 45** - This is equivalent to the original expression.
So, the only expression that is equivalent to \(5(3x + 9)\) is:
**15x + 45**.
The expression is:
\[ 5(3x + 9) \]
Distributing the 5 inside the parentheses:
\[ 5 \cdot 3x + 5 \cdot 9 = 15x + 45 \]
Now we can compare this with the options provided:
1. **8x + 14** - Not equivalent.
2. **5x 3x + 5 x 9** - Looks like a typo, but interpreted as `5x + 3x + 5 * 9` is \(5x + 3x + 45\), which simplifies to \(8x + 45\) - Not equivalent.
3. **5x 3x + 9** - This seems to be incorrect, probably missing operators. Not clear, but likely not equivalent.
4. **15 + 9** - Simplifies to \(24\) - Not equivalent.
5. **15x + 45** - This is equivalent to the original expression.
So, the only expression that is equivalent to \(5(3x + 9)\) is:
**15x + 45**.