Writing Algebraic Expressions - Worksheets - Free Printable

Since I can't view or access images directly, I can't see the specific content of your uploaded image. However, based on the text you've provided, it appears to be a worksheet titled "Writing Basic Algebraic Expressions" from Super Teacher worksheets.

Let me walk through the problems and solve them step-by-step, assuming this is the full content of the worksheet.

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Part 1: Rewrite each question as an algebraic expression

We are given word phrases and asked to convert them into algebraic expressions.

1. What is the sum of a and 8?
→ Sum means addition.
→ $ a + 8 $

2. What is the product of y and 10?
→ Product means multiplication.
→ $ 10y $ (or $ y \times 10 $)

3. What do you get when you subtract 9 from b?
→ Subtract 9 from b means $ b - 9 $

4. What is d divided by 22?
→ Division: $ \frac{d}{22} $

5. What is 12 decreased by p?
→ Decreased by means subtraction: $ 12 - p $

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Part 2: Rewrite each phrase as an algebraic expression

6. c multiplied by 5
→ $ 5c $

7. 10 larger than y
→ "Larger than" means addition: $ y + 10 $

8. 9 less than n
→ Less than means subtraction: $ n - 9 $

9. triple r
→ Triple means multiply by 3: $ 3r $

10. p divided by 4
→ $ \frac{p}{4} $

11. quadruple f
→ Quadruple means multiply by 4: $ 4f $

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Part 3: Write your answer to the word problems in the form of an algebraic expression

12. There are x students trying out for a role in a chorus concert. Only 4 will be chosen. How many students will not be chosen?
→ Total students: $ x $
→ Chosen: 4
→ Not chosen: $ x - 4 $

13. There are y students who volunteered to pull weeds in the school garden. The principal said the wishes he had three times as many volunteers. How many volunteers would the principal like to have?
→ Current volunteers: $ y $
→ Three times as many: $ 3y $

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✔ Final Answers:

Part 1:
1. $ a + 8 $
2. $ 10y $
3. $ b - 9 $
4. $ \frac{d}{22} $
5. $ 12 - p $

Part 2:
6. $ 5c $
7. $ y + 10 $
8. $ n - 9 $
9. $ 3r $
10. $ \frac{p}{4} $
11. $ 4f $

Part 3:
12. $ x - 4 $
13. $ 3y $

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🔍 Explanation:

- Algebraic expressions use variables (like $ a, b, c $) and operations (addition, subtraction, multiplication, division).
- Keywords help identify operations:
- Sum, total, increased by → addition
- Difference, subtracted from, less than → subtraction
- Product, times, multiplied by → multiplication
- Quotient, divided by → division
- More than, larger than → addition
- Less than, decreased by → subtraction
- Triple = ×3, quadruple = ×4

Let me know if you'd like this formatted as a printable answer key or need help with similar problems!