# Lesson Worksheet: Writing Algebraic Expressions Mathematics • 6th Grade

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

**Q1: **

Write an expression for a number decreased by 75.

- A
- B
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- D
- E

**Q3: **

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

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- E

**Q4: **

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

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- B
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- E

**Q5: **

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

- A
- B
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- E

**Q6: **

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

- A
- B
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- E

**Q7: **

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

- A
- B
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- E

**Q8: **

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.

**Q10: **

Express one-sixth of in algebraic form.

- A
- B
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- E

**Q11: **

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

- A
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- E

**Q12: **

Write an expression for the square of a number .

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**Q13: **

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

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- E

**Q14: **

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

- A
- B
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- E

**Q15: **

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

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**Q16: **

Write an expression that represents one seventh of .

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- B
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**Q17: **

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

**Q18: **

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

- A,
- B,
- C,
- D,
- E,

**Q19: **

Translate the following verbal expression into an algebraic one, and then simplify it: The sum of 9 times a number and 13 is added to 14 times the same number.

- A,
- B,
- C,
- D,
- E,

**Q20: **

Translate the following verbal expression into an algebraic one, and then simplify it: The sum of six and a number is added to twenty-three.

- A,
- B,
- C,
- D,
- E,

**Q21: **

The natural number that followsΒ is .

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- E

**Q22: **

Write the expression that means two times the square of .

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- E

**Q23: **

Which of the following verbal expressions matches the algebraic expression ?

- Asquare of one-sixth of
- Bone-sixth of squared
- Cone-sixth of two times number
- Dsquare of six
- Esix of squared

**Q24: **

Which of the following verbal expressions matches the algebraic expression ?

- A divided by 15, all to the power of 4
- B15 decreased by to the power of 4
- C15 divided by , all to the power of 4
- D15 divided by times 4
- E divided by 15 times 4

**Q25: **

Given that a personβs age now is , write an expression for the square of their age in 4 years.

- A
- B
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- D
- E