Translating Algebraic Expressions interactive worksheet | Live ... - Free Printable

Let's solve Activity #2: Translating Algebraic Expressions step by step.

We are given Column A with verbal phrases and Column B with algebraic expressions. We need to match each phrase in Column A with the correct mathematical expression in Column B by writing the corresponding letter.

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Step-by-step translation:

1. "the number x doubled"
→ "Doubled" means multiplied by 2.
→ $ 2x $
✔ Match: n. $ 2x $

2. "The difference of a number x and eight"
→ "Difference" means subtraction.
→ $ x - 8 $
✔ Match: i. $ x - 8 $

3. "The average of two numbers x and y"
→ Average = sum divided by 2
→ $ \frac{x + y}{2} $
✔ Match: l. $ \left( \frac{x+y}{2} \right) $

4. "the sum of x and three"
→ $ x + 3 $
✔ Match: c. $ x + 3 $

5. "x squared"
→ $ x^2 $
✔ Match: h. $ x^2 $

6. "Thrice the sum of x and y"
→ "Thrice" = 3 times, "sum of x and y" = $ x + y $
→ $ 3(x + y) $
✔ Match: g. $ 3(x + y) $

7. "one-half the difference of x and y"
→ Difference = $ x - y $, one-half = $ \frac{1}{2} $
→ $ \frac{x - y}{2} $
✔ Match: o. $ \left( \frac{x-y}{2} \right) $

8. "Four more than twice a number x"
→ Twice x = $ 2x $, four more = $ 2x + 4 $
✔ Match: e. $ 2x + 4 $

9. "seven more than a number x"
→ $ x + 7 $
✔ Match: b. $ x + 7 $

10. "five less than twice a number x"
→ Twice x = $ 2x $, five less = $ 2x - 5 $
✔ Match: a. $ 2x - 5 $

11. "multiply 3 by the sum of four and x"
→ Sum of four and x = $ 4 + x $, multiply by 3 = $ 3(4 + x) $
✔ Match: k. $ 3(4 + x) $

12. "nine subtracted from x"
→ "Subtracted from" means $ x - 9 $
✔ Match: d. $ x - 9 $

13. "the product of x and y divided by z"
→ Product = $ xy $, divided by z = $ \frac{xy}{z} $
✔ Match: m. $ \left( \frac{xy}{z} \right) $

14. "five times x increased by three times y"
→ Five times x = $ 5x $, three times y = $ 3y $, increased by = add
→ $ 5x + 3y $
✔ Match: j. $ 5x + 3y $

15. "the quotient of a number x and 5"
→ Quotient = division → $ \frac{x}{5} $
✔ Match: f. $ \frac{x}{5} $

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Final Answer Key:

| Column A | Answer Letter |
|---------|---------------|
| 1. the number x doubled | n |
| 2. The difference of a number x and eight | i |
| 3. The average of two numbers x and y | l |
| 4. the sum of x and three | c |
| 5. x squared | h |
| 6. Thrice the sum of x and y | g |
| 7. one-half the difference of x and y | o |
| 8. Four more than twice a number x | e |
| 9. seven more than a number x | b |
| 10. five less than twice a number x | a |
| 11. multiply 3 by the sum of four and x | k |
| 12. nine subtracted from x | d |
| 13. the product of x and y divided by z | m |
| 14. five times x increased by three times y | j |
| 15. the quotient of a number x and 5 | f |

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✔ Completed Matching:

1. n
2. i
3. l
4. c
5. h
6. g
7. o
8. e
9. b
10. a
11. k
12. d
13. m
14. j
15. f

You can now fill these letters into the blanks on the worksheet.

Let me know if you'd like this formatted as a printable answer sheet!