# Worksheet: Writing Algebraic Expressions

In this worksheet, we will practice reading and writing algebraic expressions and applying this to real-life situations.

**Q2: **

Write an expression for a number decreased by 75.

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**Q3: **

Write an expression for the product of 6 and .

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**Q4: **

Express the following in algebraic form: The square of a number which is then multiplied by 19.

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**Q5: **

Write βeleven more than sixteen times the number of womenβ as an algebraic expression, where is the number of women.

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**Q6: **

Write an expression for the number that is 3 less than a quarter of .

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**Q7: **

Write an expression for the sum of a number and 4, all divided by 6.

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**Q8: **

Write the expression that means βdivide by 66 and add 34Β to the quotient.β

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**Q9: **

Express the following as an algebraic expression: The quotient of a number and 5, increased by 2.

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**Q10: **

Write an expression for the product of the cube of and the difference between a number and 9, all divided by 2.

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**Q11: **

Write an expression for double the square of , which is then divided by 9 less than the cube of .

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**Q12: **

The product of and is 14. Write an expression for the value of .

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**Q13: **

If the length of a rectangle is , and its width is , describe the relationship that exists between them.

- AThe width is nine times the length.
- BThe length is nine times the width.
- CThe length is nine less than nine times the width.
- DThe length is nine less than the width.
- EThe length is nine more than the width.

**Q15: **

Express one-sixth of in algebraic form.

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**Q16: **

Given that Daniel is years old now, write an expression for his age 5 years ago.

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**Q17: **

Write an expression for the square of a number .

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**Q18: **

Express the following sentence as an algebraic expression: Amelia is five years younger than Isabella.

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**Q19: **

Given that a personβs age now is , write an expression for twice their age 10 yr ago.

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**Q20: **

Write an algebraic equation to show that divided by 8 is .

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**Q21: **

Write an expression that represents one seventh of .

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**Q22: **

Write an expression for the number which is 40 divided by the difference between and 5.

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**Q23: **

I am years old. How old will I be in 10 yearsβ time?

- A years old
- B years old
- C years old
- D years old
- E years old

**Q24: **

Translate the following verbal expression into an algebraic one, and then simplify it: The product of seven and a number is multiplied by ten.

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**Q25: **

Translate the following verbal expression into an algebraic one, and then simplify it: The sum of 9 times a number and thirteen is added to fourteen times the same number.

- A,
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- E,