BlueBonkers - Algebra - Word Problems - P1 (solution) : free ... - Free Printable

It looks like you've uploaded a worksheet titled "Simple Algebra Word Problems Answers", and it includes six word problems with their corresponding equations already filled in. Your request is to solve the problem and explain the solution.

However, since all the equations are already provided, I’ll assume your goal is to:

1. Verify that each equation correctly represents the situation.
2. Explain how each equation was derived from the word problem.
3. Solve each equation (if needed) to find the unknown value.

Let’s go through each problem one by one.

---

1. Jerry had 20 DVDs. He bought x more. Then he had 28 DVDs.

Given equation:
$$
20 + x = 28
$$

Explanation:
Jerry started with 20 DVDs. He bought *x* more, so we add *x* to 20. After that, he has 28 DVDs. So:
$$
20 + x = 28
$$

Solving for x:
$$
x = 28 - 20 = 8
$$

✔ Answer: Jerry bought 8 more DVDs.

---

2. Dorothy baked 4 loaves of banana bread, each weighs w oz. The total weight is 80 oz.

Given equation:
$$
4w = 80
$$

Explanation:
Each loaf weighs *w* ounces, and there are 4 loaves. Total weight = number of loaves × weight per loaf:
$$
4 \times w = 80
\Rightarrow 4w = 80
$$

Solving for w:
$$
w = \frac{80}{4} = 20
$$

✔ Answer: Each loaf weighs 20 ounces.

---

3. Bobbie had z tokens. She gave 7 to Bryan. She had 16 tokens left.

Given equation:
$$
z - 7 = 16
$$

Explanation:
Bobbie started with *z* tokens. She gave away 7, so she has *z - 7* left. We're told that equals 16:
$$
z - 7 = 16
$$

Solving for z:
$$
z = 16 + 7 = 23
$$

✔ Answer: Bobbie originally had 23 tokens.

---

4. Each of the 50 states has s U.S. Senators. There are 100 U.S. Senators all together.

Given equation:
$$
50 + s = 100
$$

⚠️ Wait — this equation is incorrect!

Let’s analyze:

- There are 50 states.
- Each state has s senators.
- Total number of senators = 50 × s = 100.

So the correct equation should be:
$$
50s = 100
$$

But the worksheet says:
$$
50 + s = 100
$$

✘ That would mean adding 50 and *s*, which doesn’t make sense in context.

Correct Equation:
$$
50s = 100
$$

Solving for s:
$$
s = \frac{100}{50} = 2
$$

✔ Answer: Each state has 2 senators.

> 🛠️ Note: This appears to be an error in the worksheet. The correct equation is 50s = 100, not 50 + s = 100.

---

5. The recess period at Morehead School is usually 20 minutes. On Friday, the students are given an extra t minutes, so they had 40 minutes for recess.

Given equation:
$$
20 + t = 40
$$

Explanation:
Normal recess = 20 minutes. Extra time = *t* minutes. Total = 40 minutes:
$$
20 + t = 40
$$

Solving for t:
$$
t = 40 - 20 = 20
$$

✔ Answer: They got 20 extra minutes on Friday.

---

6. Deborah dealt an entire deck of 52 cards to make g hands. Each hand had 13 cards.

Given equation:
$$
52 ÷ g = 13
$$

This can also be written as:
$$
\frac{52}{g} = 13
$$

Explanation:
Total cards = 52. Number of hands = *g*. Each hand has 13 cards. So:
$$
\text{Total cards} = \text{number of hands} \times \text{cards per hand}
\Rightarrow 52 = g \times 13
$$

Alternatively:
$$
\frac{52}{g} = 13
$$

Solving for g:
$$
g = \frac{52}{13} = 4
$$

✔ Answer: Deborah made 4 hands.

---

✔ Summary of Corrections and Solutions:

| Problem | Correct Equation | Solution |
|--------|------------------|---------|
| 1 | $20 + x = 28$ | $x = 8$ |
| 2 | $4w = 80$ | $w = 20$ |
| 3 | $z - 7 = 16$ | $z = 23$ |
| 4 | ✘ $50 + s = 100$ → Should be $50s = 100$ | $s = 2$ |
| 5 | $20 + t = 40$ | $t = 20$ |
| 6 | $\frac{52}{g} = 13$ | $g = 4$ |

---

🔍 Final Notes:

- Only Problem #4 has an incorrect equation on the worksheet.
- The correct equation for #4 is $50s = 100$, not $50 + s = 100$.
- All other equations are correct and well-reasoned.

If you were asked to correct the worksheet, then fix #4.

Let me know if you'd like this formatted as a corrected version or turned into a printable answer key!