Translating Algebraic Expressions interactive worksheet - Free Printable

Let’s go step by step to match each phrase in Column A with the correct algebraic expression in Column B.

We’ll read each phrase carefully and translate it into math, then find the matching letter.

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1. the number x doubled
→ “Doubled” means multiplied by 2 → 2x → matches n

2. The difference of a number x and eight
→ Difference means subtraction → x minus 8 → x - 8 → matches i

3. The average of two numbers x and y
→ Average = (sum) ÷ 2 → (x + y)/2 → matches l

4. the sum of x and three
→ Sum means addition → x + 3 → x + 3 → matches c

5. x squared
→ That’s x raised to power 2 → x² → matches h

6. Thrice the sum of x and y
→ Thrice = 3 times; sum = x + y → so 3*(x + y) → 3(x + y) → matches g

7. one –half the difference of x and y
→ Difference = x - y; half of that → (x - y)/2 → matches o

8. Four more than twice a number x
→ Twice x = 2x; four more = +4 → 2x + 4 → matches e

9. seven more than a number x
→ Seven more than x = x + 7 → x + 7 → matches b

10. five less than twice a number x
→ Twice x = 2x; five less = minus 5 → 2x - 5 → matches a

11. multiply 3 by the sum of four and x
→ Sum of 4 and x = (4 + x); multiply by 3 → 3(4 + x) → matches k

12. nine subtracted from x
→ Subtract 9 from x → x - 9 → matches d

13. the product of x and y divided by z
→ Product of x and y = xy; divided by z → xy/z → matches m

14. five times x increased by three times y
→ 5x + 3y → 5x + 3y → matches j

15. the quotient of a number x and 5
→ Quotient means division → x ÷ 5 → x/5 → matches f

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All matches are now verified and correct.

Final Answer:
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