Writing Expressions interactive worksheet - Free Printable
Educational worksheet: Writing Expressions interactive worksheet. Download and print for classroom or home learning activities.
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Step-by-step solution for: Writing Expressions interactive worksheet
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Show Answer Key & Explanations
Step-by-step solution for: Writing Expressions interactive worksheet
Sure! Let’s go through each expression one by one and translate it into mathematical symbols, as requested.
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A. The sum of 8 and x
→ “Sum” means addition.
✔ Answer: `8 + x`
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B. 12 decreased by b
→ “Decreased by” means subtraction.
✔ Answer: `12 - b`
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C. The product of 5 and n
→ “Product” means multiplication.
✔ Answer: `5 × n` or `5n` (Both are acceptable; `5n` is more common in algebra)
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D. The quotient of j and 60
→ “Quotient” means division.
✔ Answer: `j ÷ 60` or `j/60`
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E. 8 taken away from t
→ “Taken away from” means subtract 8 from t.
✔ Answer: `t - 8`
*(Note: This is different from “8 taken away from t” vs. “t taken away from 8”. Order matters!)*
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F. 7 more than m
→ “More than” means add 7 to m.
✔ Answer: `m + 7`
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G. 16 added to r
→ “Added to” means r + 16.
✔ Answer: `r + 16`
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H. f divided by 2
→ Straightforward division.
✔ Answer: `f ÷ 2` or `f/2`
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I. Twice the number c
→ “Twice” means multiply by 2.
✔ Answer: `2 × c` or `2c`
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J. p decreased by 47
→ Subtract 47 from p.
✔ Answer: `p - 47`
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K. 8 times v
→ Multiply 8 and v.
✔ Answer: `8 × v` or `8v`
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L. m decreased by 7
→ Subtract 7 from m.
✔ Answer: `m - 7`
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M. y less than 32
→ “Less than” here means subtract y from 32.
✔ Answer: `32 - y`
*(Important: “y less than 32” ≠ “32 less than y”. The first means 32 - y.)*
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N. w more than 29
→ Add w to 29.
✔ Answer: `29 + w`
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O. h taken away from 26
→ Subtract h from 26.
✔ Answer: `26 - h`
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P. The product of 54 and k
→ Multiply 54 and k.
✔ Answer: `54 × k` or `54k`
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Q. 31 decreased by g
→ Subtract g from 31.
✔ Answer: `31 - g`
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R. 8 shared equally among x
→ “Shared equally among” means divide 8 by x.
✔ Answer: `8 ÷ x` or `8/x`
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| Letter | Expression | Symbolic Form |
|--------|--------------------------------|-------------------|
| A | The sum of 8 and x | `8 + x` |
| B | 12 decreased by b | `12 - b` |
| C | The product of 5 and n | `5n` |
| D | The quotient of j and 60 | `j/60` |
| E | 8 taken away from t | `t - 8` |
| F | 7 more than m | `m + 7` |
| G | 16 added to r | `r + 16` |
| H | f divided by 2 | `f/2` |
| I | Twice the number c | `2c` |
| J | p decreased by 47 | `p - 47` |
| K | 8 times v | `8v` |
| L | m decreased by 7 | `m - 7` |
| M | y less than 32 | `32 - y` |
| N | w more than 29 | `29 + w` |
| O | h taken away from 26 | `26 - h` |
| P | The product of 54 and k | `54k` |
| Q | 31 decreased by g | `31 - g` |
| R | 8 shared equally among x | `8/x` |
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Let me know if you’d like these written in a specific format for your worksheet or need explanations for any tricky ones! 😊
---
A. The sum of 8 and x
→ “Sum” means addition.
✔ Answer: `8 + x`
---
B. 12 decreased by b
→ “Decreased by” means subtraction.
✔ Answer: `12 - b`
---
C. The product of 5 and n
→ “Product” means multiplication.
✔ Answer: `5 × n` or `5n` (Both are acceptable; `5n` is more common in algebra)
---
D. The quotient of j and 60
→ “Quotient” means division.
✔ Answer: `j ÷ 60` or `j/60`
---
E. 8 taken away from t
→ “Taken away from” means subtract 8 from t.
✔ Answer: `t - 8`
*(Note: This is different from “8 taken away from t” vs. “t taken away from 8”. Order matters!)*
---
F. 7 more than m
→ “More than” means add 7 to m.
✔ Answer: `m + 7`
---
G. 16 added to r
→ “Added to” means r + 16.
✔ Answer: `r + 16`
---
H. f divided by 2
→ Straightforward division.
✔ Answer: `f ÷ 2` or `f/2`
---
I. Twice the number c
→ “Twice” means multiply by 2.
✔ Answer: `2 × c` or `2c`
---
J. p decreased by 47
→ Subtract 47 from p.
✔ Answer: `p - 47`
---
K. 8 times v
→ Multiply 8 and v.
✔ Answer: `8 × v` or `8v`
---
L. m decreased by 7
→ Subtract 7 from m.
✔ Answer: `m - 7`
---
M. y less than 32
→ “Less than” here means subtract y from 32.
✔ Answer: `32 - y`
*(Important: “y less than 32” ≠ “32 less than y”. The first means 32 - y.)*
---
N. w more than 29
→ Add w to 29.
✔ Answer: `29 + w`
---
O. h taken away from 26
→ Subtract h from 26.
✔ Answer: `26 - h`
---
P. The product of 54 and k
→ Multiply 54 and k.
✔ Answer: `54 × k` or `54k`
---
Q. 31 decreased by g
→ Subtract g from 31.
✔ Answer: `31 - g`
---
R. 8 shared equally among x
→ “Shared equally among” means divide 8 by x.
✔ Answer: `8 ÷ x` or `8/x`
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✔ Final Answers Summary:
| Letter | Expression | Symbolic Form |
|--------|--------------------------------|-------------------|
| A | The sum of 8 and x | `8 + x` |
| B | 12 decreased by b | `12 - b` |
| C | The product of 5 and n | `5n` |
| D | The quotient of j and 60 | `j/60` |
| E | 8 taken away from t | `t - 8` |
| F | 7 more than m | `m + 7` |
| G | 16 added to r | `r + 16` |
| H | f divided by 2 | `f/2` |
| I | Twice the number c | `2c` |
| J | p decreased by 47 | `p - 47` |
| K | 8 times v | `8v` |
| L | m decreased by 7 | `m - 7` |
| M | y less than 32 | `32 - y` |
| N | w more than 29 | `29 + w` |
| O | h taken away from 26 | `26 - h` |
| P | The product of 54 and k | `54k` |
| Q | 31 decreased by g | `31 - g` |
| R | 8 shared equally among x | `8/x` |
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Let me know if you’d like these written in a specific format for your worksheet or need explanations for any tricky ones! 😊
Parent Tip: Review the logic above to help your child master the concept of writing algebraic equations worksheet.
