# 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 34 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: **

For a marathon, an athlete practiced on a track that is miles long. She ran for 5 laps each on Monday and on Wednesday and 4 laps on Friday. On Sunday, she ran for 18 miles. Write an expression in the simplest form that represents the total distance the athlete ran during her practice.

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**Q13: **

The height of the Empire State Building is 164 meters more than 3 times the height of the Statue of Liberty. Let be the height of the Statue of Liberty. Write an expression that represents the height of the Empire State Building in terms of .

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**Q14: **

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

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**Q15: **

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.

**Q17: **

Express one-sixth of in algebraic form.

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**Q18: **

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

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**Q19: **

You have $100 in the bank. Each day, you deposit $10 into your account. Write an expression for your balance after days.

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**Q20: **

Admission to a museum costs $5 per person. A family has a coupon for a discount of $8. There are people in the family. Write an expression that represents how much the family pays.

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**Q22: **

A shop sells chocolates for 26 LE a kilogram and boxes for 6 LE. A boy bought kg of chocolate and a box. Write an expression for the amount he paid.

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**Q23: **

Mason spent minutes practicing the piano on Monday. On Tuesday, he practiced for 20 minutes more than he did on Monday. On Wednesday, he practiced for 35 minutes less than he did on Tuesday. On Thursday, he practiced for three times as long as he did on Monday. On Friday, he practiced for 25 minutes less than he did on Thursday. Write, in the simplest form, an expression that represents the number of minutes he spent practicing on these 5 days.

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**Q24: **

Write an expression for the square of a number .

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**Q25: **

Mr. David purchased supplies for $45 to renovate his apartmentβs floor. He paid one person $8 per hour to sand the wooden floor, and then he paid another person $14 per hour to apply the finish to the wood. If both people worked for hours, write an expression that can be used to represent the total cost of renovating the apartment floor, and then simplify it.

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