Question
Carey solves the equation 4 (2 x minus 1) + 5 = 3 + 2 (x + 1) by applying the distributive property on both sides of the equation. The result is 8 x minus 4 + 5 = 3 + 2 x + 2. Carey then wants to combine like terms. Which are the terms Carey should combine?
8x + 2x
–4 + 5 + 3 + 2
–4 + 5 and 3 + 2
4 + 5 and 3 + 2
8x + 2x
–4 + 5 + 3 + 2
–4 + 5 and 3 + 2
4 + 5 and 3 + 2
Answers
GPT-4o mini
Let's look at the equation Carey has after applying the distributive property:
\[ 8x - 4 + 5 = 3 + 2x + 2 \]
Now, we need to identify which terms can be combined on both sides of the equation.
On the left side:
- The terms are \(8x\) and \(-4 + 5\).
On the right side:
- The terms are \(2x\) and \(3 + 2\).
So the terms that Carey should combine are:
- On the left side, \(-4 + 5\) can be combined.
- On the right side, \(3 + 2\) can be combined.
Thus, the correct answer is:
**–4 + 5 and 3 + 2**.
\[ 8x - 4 + 5 = 3 + 2x + 2 \]
Now, we need to identify which terms can be combined on both sides of the equation.
On the left side:
- The terms are \(8x\) and \(-4 + 5\).
On the right side:
- The terms are \(2x\) and \(3 + 2\).
So the terms that Carey should combine are:
- On the left side, \(-4 + 5\) can be combined.
- On the right side, \(3 + 2\) can be combined.
Thus, the correct answer is:
**–4 + 5 and 3 + 2**.