Question

Question 6
A)Sarah wants to buy balloons (b) that cost $2 dollars each and cupcakes. The expression that represents her purchase is 2b+2
2
𝑏
+
2
. How much will she spend if she buys 6 balloons?(1 point)
Responses

$2.00
$2.00

$28
$28

$14.00
$14.00
Question 7
A)
Simplify

3(16+5x)
3
(
16
+
5
𝑥
)

(1 point)
Responses

48+15x
48
+
15
𝑥
48 plus 15 x

−5x+16
−
5
𝑥
+
16
negative 5 x plus 16

−5x−16
−
5
𝑥
−
16
negative 5 x minus 16

48−15x
48
−
15
𝑥
48 minus 15 x
Question 8
A)What is the definition of the math term "variable"?(1 point)
Responses

A letter that represents an unknown number
A letter that represents an unknown number

A letter that represents a given number
A letter that represents a given number
Question 9
A)
Use the substitution method to solve the following algebraic expression:

25w + 100 = ? where w = -4

(1 point)
Responses

200
200

-200
-200

100
100

0
0
Question 10
A)
Combine the following Like Terms

3a - 2b + 4 + 6b + 7a

(1 point)
Responses

4a -4b +4
4a -4b +4

10a - 4b +4
10a - 4b +4

10a +8b + 4
10a +8b + 4

10a -4b - 4

Answer 1

Here are the answers to each of your questions:

### Question 6
Sarah's expression for her purchase of balloons and cupcakes is given as \(2b + 2\).
- If she buys 6 balloons, we substitute \(b\) with 6:

\[
2(6) + 2 = 12 + 2 = 14
\]

So, she will spend **$14.00**.

**Response:** $14.00

---

### Question 7
We need to simplify the expression \(3(16 + 5x)\).
- Distributing the 3, we have:

\[
3(16) + 3(5x) = 48 + 15x
\]

So, the simplified expression is **48 + 15x**.

**Response:** 48 + 15x

---

### Question 8
The definition of the math term "variable" is:
- A letter that represents an unknown number.

**Response:** A letter that represents an unknown number

---

### Question 9
To solve the expression \(25w + 100\) where \(w = -4\):
- Substitute -4 for \(w\):

\[
25(-4) + 100 = -100 + 100 = 0
\]

So, the answer is **0**.

**Response:** 0

---

### Question 10
We need to combine the like terms in \(3a - 2b + 4 + 6b + 7a\).
- Combine \(3a + 7a\) and \(-2b + 6b\):

\[
(3a + 7a) + (-2b + 6b) + 4 = 10a + 4b + 4
\]

Thus, the combined result is **10a + 4b + 4**.

**No response matches exactly, so the likely intent is:** 10a + 4b + 4 (though it seems there's an error in the given options).

If we take a closer look at the options provided, none of them directly matches what you would expect from combining the terms correctly. Please review the options to ensure correctness.

---

Let me know if you have any further questions!

Answer 2

Give me all the answers in order.

Answer 3

Sure! Here are the answers in order:

### Question 6
**$14.00**

### Question 7
**48 + 15x**

### Question 8
**A letter that represents an unknown number**

### Question 9
**0**

### Question 10
**10a + 4b + 4**

Let me know if you need any more assistance!

Answer 4

No return is wrong.

Answer 5

I apologize for any confusion. Let's carefully revisit each question, recalculate, and ensure we provide the correct answers.

### Question 6
Sarah's purchase expression is \(2b + 2\). If \(b = 6\):

\[
2(6) + 2 = 12 + 2 = 14
\]
**Answer:** **$14.00**

---

### Question 7
We simplify \(3(16 + 5x)\):

\[
3 \times 16 + 3 \times 5x = 48 + 15x
\]
**Answer:** **48 + 15x**

---

### Question 8
The definition of "variable" is:

**Answer:** **A letter that represents an unknown number**

---

### Question 9
For the expression \(25w + 100\) where \(w = -4\):

\[
25(-4) + 100 = -100 + 100 = 0
\]
**Answer:** **0**

---

### Question 10
Combining like terms in \(3a - 2b + 4 + 6b + 7a\):

\[
(3a + 7a) + (-2b + 6b) + 4 = 10a + 4b + 4
\]

If we look closely at the provided options, the correct combination of like terms should ideally present with \(10a + 4b + 4\), and it seems my initial summary did not correctly reflect the standard options given.

**Answer:** **10a + 4b + 4** (Though it appears this option is not listed in the choices.)

---

So, summarizing again, here are the answers:

1. **$14.00**
2. **48 + 15x**
3. **A letter that represents an unknown number**
4. **0**
5. **10a + 4b + 4** (Please double-check if this option was included.)

I appreciate your patience, and I hope this clears up any discrepancies! Let me know if you have any further questions.

Answer 6

Question 10
A)
Combine the following Like Terms

3a - 2b + 4 + 6b + 7a

(1 point)
Responses

4a -4b +4
4a -4b +4

10a - 4b +4
10a - 4b +4

10a +8b + 4
10a +8b + 4

10a -4b - 4
10a -4b - 4

Answer 7

Let’s carefully combine the like terms in the expression \(3a - 2b + 4 + 6b + 7a\).

1. **Combine the \(a\) terms:**
- \(3a + 7a = 10a\)

2. **Combine the \(b\) terms:**
- \(-2b + 6b = 4b\)

3. **The constant term remains unchanged:**
- \(4\)

Putting it all together, we get:

\[
10a + 4b + 4
\]

Now, checking against the provided options:
- **4a - 4b + 4**
- **10a - 4b + 4**
- **10a + 8b + 4**
- **10a - 4b - 4**

None of the provided options exactly match \(10a + 4b + 4\). It seems like there might be an error in the options listed.

The closest answer, but incorrect, is **10a - 4b + 4**, since the correct version has \(4b\) not \(-4b\).

Given the options, the answer should be:

**Answer:** None match exactly, but the correct combination is **10a + 4b + 4**.

If we were to select among your choices despite them being incorrect, you could clarify or ask for possible errors in the answer choices.