Write an algebraic expression for each phrase on this math worksheet.
Worksheet with algebraic expressions to write for phrases, featuring a cartoon character and numbered problems.
JPG
1000×1511
90.8 KB
Free · Personal Use
Quality Assured by Worksheets Library Team
Reviewed for educational accuracy and age-appropriateness
ID: #741396
⭐
Show Answer Key & Explanations
Step-by-step solution for: Translating Algebraic Phrases Worksheet
▼
Show Answer Key & Explanations
Step-by-step solution for: Translating Algebraic Phrases Worksheet
Here's the solution to writing an algebraic expression for each phrase, with explanations:
---
1. a number g added to sixty-three
→ 63 + g
*Explanation:* “Added to” means addition. Since it says “g added to sixty-three”, we write 63 first, then add g.
---
2. the quotient of seven and a number x
→ 7 ÷ x or 7/x
*Explanation:* “Quotient” means division. The first number mentioned (seven) is divided by the second (x).
---
3. ten less than a number v
→ v – 10
*Explanation:* “Less than” reverses the order. “Ten less than v” means subtract 10 from v.
---
4. the difference between thirteen and a number k
→ 13 – k
*Explanation:* “Difference between A and B” usually means A – B. So 13 minus k.
*(Note: Sometimes “difference” can be absolute, but in basic algebra expressions like this, we follow the order given.)*
---
5. a number q increased by seventy-two
→ q + 72
*Explanation:* “Increased by” means addition. Add 72 to q.
---
6. the total of eleven and a number m
→ 11 + m
*Explanation:* “Total of” means sum → addition.
---
7. ninety-seven subtracted from a number r
→ r – 97
*Explanation:* “Subtracted from” reverses the order. So r minus 97.
---
8. the product of a number d and sixty-one
→ d × 61 or 61d
*Explanation:* “Product” means multiplication. We usually write the number first: 61d.
---
9. the sum of thirty-nine and a number f
→ 39 + f
*Explanation:* “Sum of” means addition.
---
10. twenty-three added to a number j
→ j + 23
*Explanation:* “Added to” — here, 23 is being added to j, so j + 23.
*(Note: Unlike #1, this says “added to a number j”, so j is the starting point.)*
---
11. twelve divided by a number c
→ 12 ÷ c or 12/c
*Explanation:* Division — 12 is divided by c.
---
12. a number y multiplied by eighty-five
→ y × 85 or 85y
*Explanation:* Multiplication — write as 85y (coefficient first).
---
13. a number w decreased by fifty-eight
→ w – 58
*Explanation:* “Decreased by” means subtraction.
---
14. a number b minus fifty-eight
→ b – 58
*Explanation:* Direct subtraction.
---
15. forty-six more than a number z
→ z + 46
*Explanation:* “More than” means addition. Add 46 to z.
---
16. a number h divided by thirty-one
→ h ÷ 31 or h/31
*Explanation:* Division — h is divided by 31.
---
17. the sum of a number n and forty-nine
→ n + 49
*Explanation:* Sum = addition.
---
18. the quotient of a number s and forty-two
→ s ÷ 42 or s/42
*Explanation:* Quotient = division. s divided by 42.
---
19. the product of forty and a number t
→ 40 × t or 40t
*Explanation:* Product = multiplication → 40t.
---
20. a number c added to twenty-three
→ 23 + c
*Explanation:* “Added to” — 23 is the base, c is added to it.
---
✔ Final Answer Summary:
1. 63 + g
2. 7/x
3. v – 10
4. 13 – k
5. q + 72
6. 11 + m
7. r – 97
8. 61d
9. 39 + f
10. j + 23
11. 12/c
12. 85y
13. w – 58
14. b – 58
15. z + 46
16. h/31
17. n + 49
18. s/42
19. 40t
20. 23 + c
Let me know if you’d like these written in a specific format (like all using ÷ or /)!
---
1. a number g added to sixty-three
→ 63 + g
*Explanation:* “Added to” means addition. Since it says “g added to sixty-three”, we write 63 first, then add g.
---
2. the quotient of seven and a number x
→ 7 ÷ x or 7/x
*Explanation:* “Quotient” means division. The first number mentioned (seven) is divided by the second (x).
---
3. ten less than a number v
→ v – 10
*Explanation:* “Less than” reverses the order. “Ten less than v” means subtract 10 from v.
---
4. the difference between thirteen and a number k
→ 13 – k
*Explanation:* “Difference between A and B” usually means A – B. So 13 minus k.
*(Note: Sometimes “difference” can be absolute, but in basic algebra expressions like this, we follow the order given.)*
---
5. a number q increased by seventy-two
→ q + 72
*Explanation:* “Increased by” means addition. Add 72 to q.
---
6. the total of eleven and a number m
→ 11 + m
*Explanation:* “Total of” means sum → addition.
---
7. ninety-seven subtracted from a number r
→ r – 97
*Explanation:* “Subtracted from” reverses the order. So r minus 97.
---
8. the product of a number d and sixty-one
→ d × 61 or 61d
*Explanation:* “Product” means multiplication. We usually write the number first: 61d.
---
9. the sum of thirty-nine and a number f
→ 39 + f
*Explanation:* “Sum of” means addition.
---
10. twenty-three added to a number j
→ j + 23
*Explanation:* “Added to” — here, 23 is being added to j, so j + 23.
*(Note: Unlike #1, this says “added to a number j”, so j is the starting point.)*
---
11. twelve divided by a number c
→ 12 ÷ c or 12/c
*Explanation:* Division — 12 is divided by c.
---
12. a number y multiplied by eighty-five
→ y × 85 or 85y
*Explanation:* Multiplication — write as 85y (coefficient first).
---
13. a number w decreased by fifty-eight
→ w – 58
*Explanation:* “Decreased by” means subtraction.
---
14. a number b minus fifty-eight
→ b – 58
*Explanation:* Direct subtraction.
---
15. forty-six more than a number z
→ z + 46
*Explanation:* “More than” means addition. Add 46 to z.
---
16. a number h divided by thirty-one
→ h ÷ 31 or h/31
*Explanation:* Division — h is divided by 31.
---
17. the sum of a number n and forty-nine
→ n + 49
*Explanation:* Sum = addition.
---
18. the quotient of a number s and forty-two
→ s ÷ 42 or s/42
*Explanation:* Quotient = division. s divided by 42.
---
19. the product of forty and a number t
→ 40 × t or 40t
*Explanation:* Product = multiplication → 40t.
---
20. a number c added to twenty-three
→ 23 + c
*Explanation:* “Added to” — 23 is the base, c is added to it.
---
✔ Final Answer Summary:
1. 63 + g
2. 7/x
3. v – 10
4. 13 – k
5. q + 72
6. 11 + m
7. r – 97
8. 61d
9. 39 + f
10. j + 23
11. 12/c
12. 85y
13. w – 58
14. b – 58
15. z + 46
16. h/31
17. n + 49
18. s/42
19. 40t
20. 23 + c
Let me know if you’d like these written in a specific format (like all using ÷ or /)!
Parent Tip: Review the logic above to help your child master the concept of translating words into math worksheet.
