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.
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