Practice sheet for students to convert verbal descriptions into algebraic two-step equations.

It looks like you've uploaded an image of a worksheet titled "Translating Sentences into Two-Step Equations", which includes several word problems that need to be translated into algebraic equations. Since I can't view images directly, I’ll help you solve this type of problem based on typical content found in such worksheets.

Let me walk through how to approach these kinds of problems and provide examples of common types you might see.

---

🔍 General Strategy:

To translate a sentence into a two-step equation:
1. Identify the unknown (usually represented by a variable like $ x $).
2. Look for key phrases indicating operations:
- "Sum", "more than" → addition
- "Difference", "less than" → subtraction
- "Product", "times" → multiplication
- "Quotient", "divided by" → division
3. Identify constants (numbers in the sentence).
4. Set up an equation involving two steps (e.g., multiplication and addition).

---

✔ Example Problems & Solutions:

Let’s assume your worksheet has problems like these (common ones):

#### 1. "Five more than twice a number is 17."
- Let $ x $ = the number.
- "Twice a number" → $ 2x $
- "Five more than" → $ 2x + 5 $
- Is 17 → $ 2x + 5 = 17 $

✔ Equation: $ 2x + 5 = 17 $

---

#### 2. "The sum of three times a number and 8 is 20."
- Let $ x $ = the number.
- "Three times a number" → $ 3x $
- "Sum of... and 8" → $ 3x + 8 $
- Is 20 → $ 3x + 8 = 20 $

✔ Equation: $ 3x + 8 = 20 $

---

#### 3. "Four less than five times a number is 16."
- "Five times a number" → $ 5x $
- "Four less than" → $ 5x - 4 $
- Is 16 → $ 5x - 4 = 16 $

✔ Equation: $ 5x - 4 = 16 $

---

#### 4. "If you divide a number by 3 and then subtract 2, the result is 5."
- Let $ x $ = the number.
- "Divide by 3" → $ \frac{x}{3} $
- "Subtract 2" → $ \frac{x}{3} - 2 $
- Result is 5 → $ \frac{x}{3} - 2 = 5 $

✔ Equation: $ \frac{x}{3} - 2 = 5 $

---

#### 5. "Seven times a number decreased by 9 equals 12."
- "Seven times a number" → $ 7x $
- "Decreased by 9" → $ 7x - 9 $
- Equals 12 → $ 7x - 9 = 12 $

✔ Equation: $ 7x - 9 = 12 $

---

📝 Tips:

- Always define your variable first.
- Pay attention to order: “5 less than x” means $ x - 5 $, not $ 5 - x $.
- Use parentheses if needed (e.g., “twice the sum of x and 3” → $ 2(x + 3) $).

---

💡 Final Advice:

If you can type out the sentences from your worksheet, I can help you translate each one step-by-step into an equation.

Just reply with the actual sentences (e.g., “The product of 4 and a number increased by 7 is 23”), and I’ll give you the correct equation and explanation!

Would you like to do that?