Printable math worksheet helping students practice translating word phrases into numerical expressions through a coloring activity.

It looks like you've uploaded a worksheet titled "Writing Numerical Expressions", which asks students to:

1. Write a numerical expression for each phrase.
2. Color the expression on the color sheet according to the color indicated at the bottom of each box.

Since I can't view images directly, I’ll help you solve this step by step based on the text you provided. Let's go through each phrase, write the correct numerical expression, and then explain how to interpret it.

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🔹 Instructions:

- Each phrase needs to be translated into a mathematical expression.
- Then, color the corresponding expression in the color sheet using the color code below each problem.

Let’s solve all 15 problems one by one.

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✔ Problem 1:

"subtract three from five"
→ This means: $ 5 - 3 $
✔ Expression: 5 - 3
Color: Red

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✔ Problem 2:

"the sum of twenty and two divided by the sum of four and three"
→ Break it down:
- Sum of twenty and two = $ 20 + 2 $
- Sum of four and three = $ 4 + 3 $
- Divided by → $ \frac{20 + 2}{4 + 3} $
✔ Expression: (20 + 2) ÷ (4 + 3) or (20 + 2)/(4 + 3)
Color: Blue

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✔ Problem 3:

"the quotient of eighteen and six minus two"
→ Quotient means division: $ 18 ÷ 6 $
Then subtract two: $ (18 ÷ 6) - 2 $
✔ Expression: (18 ÷ 6) - 2
Color: Yellow

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✔ Problem 4:

"add eight and seven, then subtract three"
→ Add first: $ 8 + 7 $, then subtract 3: $ (8 + 7) - 3 $
✔ Expression: (8 + 7) - 3
Color: Pink

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✔ Problem 5:

"seven less than the difference of twelve and three"
→ Difference of twelve and three = $ 12 - 3 $
Seven less than that = $ (12 - 3) - 7 $
✔ Expression: (12 - 3) - 7
Color: Green

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✔ Problem 6:

"the sum of six and three multiplied by three"
→ Sum of six and three = $ 6 + 3 $
Multiplied by three = $ (6 + 3) × 3 $
✔ Expression: (6 + 3) × 3
Color: Red

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✔ Problem 7:

"twenty more than the product of fourteen and two"
→ Product of fourteen and two = $ 14 × 2 $
Twenty more than that = $ (14 × 2) + 20 $
✔ Expression: (14 × 2) + 20
Color: Yellow

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✔ Problem 8:

"two times the difference of thirteen and four"
→ Difference of thirteen and four = $ 13 - 4 $
Two times that = $ 2 × (13 - 4) $
✔ Expression: 2 × (13 - 4)
Color: Orange

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✔ Problem 9:

"fifty-two minus the product of twenty-two and two"
→ Product of twenty-two and two = $ 22 × 2 $
Fifty-two minus that = $ 52 - (22 × 2) $
✔ Expression: 52 - (22 × 2)
Color: Brown

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✔ Problem 10:

"five times as much as twelve divided two"
→ Twelve divided two = $ 12 ÷ 2 $
Five times that = $ 5 × (12 ÷ 2) $
✔ Expression: 5 × (12 ÷ 2)
Color: Red

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✔ Problem 11:

"seventeen less the difference of twenty and four"
→ Difference of twenty and four = $ 20 - 4 $
Seventeen less than that = $ 17 - (20 - 4) $
✔ Expression: 17 - (20 - 4)
Color: Purple

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✔ Problem 12:

"twenty-one less than thirty divided by three"
→ Thirty divided by three = $ 30 ÷ 3 $
Twenty-one less than that = $ (30 ÷ 3) - 21 $
✔ Expression: (30 ÷ 3) - 21
Color: Yellow

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✔ Problem 13:

"the difference of fifty-four and forty-one"
→ Simply: $ 54 - 41 $
✔ Expression: 54 - 41
Color: Brown

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✔ Problem 14:

"the quotient of twenty-four and eight plus the product of five and seven"
→ Quotient of 24 and 8 = $ 24 ÷ 8 $
Product of five and seven = $ 5 × 7 $
Then add them: $ (24 ÷ 8) + (5 × 7) $
✔ Expression: (24 ÷ 8) + (5 × 7)
Color: Orange

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✔ Problem 15:

"the sum of twenty-five and seventeen"
→ $ 25 + 17 $
✔ Expression: 25 + 17
Color: Red

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## 🎨 Summary Table

| # | Phrase | Expression | Color |
|---|--------|------------|-------|
| 1 | subtract three from five | 5 - 3 | Red |
| 2 | sum of twenty and two divided by sum of four and three | (20 + 2) ÷ (4 + 3) | Blue |
| 3 | quotient of eighteen and six minus two | (18 ÷ 6) - 2 | Yellow |
| 4 | add eight and seven, then subtract three | (8 + 7) - 3 | Pink |
| 5 | seven less than difference of twelve and three | (12 - 3) - 7 | Green |
| 6 | sum of six and three multiplied by three | (6 + 3) × 3 | Red |
| 7 | twenty more than product of fourteen and two | (14 × 2) + 20 | Yellow |
| 8 | two times difference of thirteen and four | 2 × (13 - 4) | Orange |
| 9 | fifty-two minus product of twenty-two and two | 52 - (22 × 2) | Brown |
| 10 | five times as much as twelve divided two | 5 × (12 ÷ 2) | Red |
| 11 | seventeen less difference of twenty and four | 17 - (20 - 4) | Purple |
| 12 | twenty-one less than thirty divided by three | (30 ÷ 3) - 21 | Yellow |
| 13 | difference of fifty-four and forty-one | 54 - 41 | Brown |
| 14 | quotient of twenty-four and eight plus product of five and seven | (24 ÷ 8) + (5 × 7) | Orange |
| 15 | sum of twenty-five and seventeen | 25 + 17 | Red |

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## 🧠 Tips for Solving These Problems:

1. Identify key words:
- "Sum" → addition (+)
- "Difference" → subtraction (−)
- "Product" → multiplication (×)
- "Quotient" → division (÷)
- "Less than" → reverse order! e.g., "7 less than x" = $ x - 7 $
- "More than" → addition
- "Times" → multiplication
- "Divided by" → division

2. Use parentheses when needed to group operations correctly.

3. Read carefully: Phrases like “seven less than the difference” mean:
First compute the difference, then subtract 7.

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## ✔ Final Step:
After writing each expression, use the color code to fill in the corresponding expressions on the color sheet (which is likely a separate page with these expressions listed).

For example:
- All expressions that should be colored red: #1, #6, #10, #15
- Yellow: #3, #7, #12
- Blue: #2
- etc.

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If you'd like, you can send me the actual color sheet or list of expressions on it, and I can help match them!

Let me know if you want this turned into a printable answer key or need help with coloring!