Math worksheet titled "Writing Expressions" that includes exercises for translating verbal phrases into algebraic expressions, labeled "Practice 2-11".

Let’s go step by step through each problem. We’re turning word phrases into math expressions — that means using numbers, letters (variables), and operation signs like +, –, ×, ÷, or exponents.

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1. 12 more than x
“More than” means addition. So we add 12 to x → x + 12

2. x less than 36
“Less than” means subtraction, but note: “x less than 36” means start with 36 and subtract x → 36 – x

3. one-third of a
“One-third of” means multiply by 1/3 → (1/3)a or a/3

4. 17 times s
“Times” means multiplication → 17s

5. b multiplied by 5
Same as above → 5b

6. y to the fourth power
That means y raised to exponent 4 → y⁴

7. 64 plus k
“Plus” = addition → 64 + k

8. u tripled
“Tripled” means multiplied by 3 → 3u

9. p cubed
“Cubed” means to the third power → p³

10. 18 minus x
Straightforward subtraction → 18 – x

11. 4 less than k
Again, “less than” reverses order: start with k, subtract 4 → k – 4

12. z increased by 12
“Increase by” = add → z + 12

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Now for questions 13–19:

13. What is the product of 82 and g?
“Product” = multiplication → 82g

14. What is the difference between n and 7?
“Difference” = subtraction. Usually it’s first minus second unless specified → n – 7

15. What is the quotient of 32 and x?
“Quotient” = division → 32 ÷ x or 32/x

16. What is the sum of h and 7?
“Sum” = addition → h + 7

17. What is 31 less than c?
Start with c, subtract 31 → c – 31

18. What is the fifth power of t?
t to the 5th power → t

19. What is one-eighth of r?
Multiply r by 1/8 → (1/8)r or r/8

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✔ All answers checked for correct wording and operations.

Final Answer:
1. x + 12
2. 36 – x
3. a/3
4. 17s
5. 5b
6. y⁴
7. 64 + k
8. 3u
9. p³
10. 18 – x
11. k – 4
12. z + 12
13. 82g
14. n – 7
15. 32/x
16. h + 7
17. c – 31
18. t⁵
19. r/8