# Worksheet: Writing Algebraic Expressions

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

Q1:

Write an expression for 12 more than the product of a number and 4.

• A
• B
• C
• D
• E

Q2:

Write an expression for a number decreased by 75.

• A
• B
• C
• D
• E

Q3:

Write an expression for the product of 6 and .

• A
• B
• C
• D
• E

Q4:

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

• A
• B
• C
• D
• E

Q5:

Write “eleven more than sixteen times the number of women” as an algebraic expression, where is the number of women.

• A
• B
• C
• D
• E

Q6:

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

• A
• B
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• D
• E

Q7:

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

• A
• B
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• D
• E

Q8:

Write the expression that means “divide by 66 and add 34 to the quotient.”

• A
• B
• C
• D

Q9:

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

• A
• B
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• E

Q10:

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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• D
• E

Q11:

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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• D
• E

Q12:

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

• A
• B
• C
• D
• E

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.

Q14:

Write the following algebraic expression as a verbal expression: .

• Atwo times
• Btwo more than
• Cthe square of
• Dtwenty-

Q15:

Express one-sixth of in algebraic form.

• A
• B
• C
• D
• E

Q16:

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

• A
• B
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• D
• E

Q17:

Write an expression for the square of a number .

• A
• B
• C
• D
• E

Q18:

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

• A
• B
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• D
• E

Q19:

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

• A
• B
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• D
• E

Q20:

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

• A
• B
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• D
• E

Q21:

Write an expression that represents one seventh of .

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• D
• E

Q22:

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

• A
• B
• C
• D
• E

Q23:

I am years old. How old will I be in 10 years’ 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.

• A,
• B,
• C,
• D,
• E,

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,
• B,
• C,
• D,
• E,