# 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
• C
• D
• E

Q2:

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

• A
• B
• C
• D
• E

Q3:

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

• A
• B
• C
• D
• E

Q4:

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

• A
• B
• C
• D
• 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
• C
• D
• E

Q6:

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

• A
• B
• C
• D
• E

Q7:

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

• A
• B
• C
• D
• 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.

Q9:

Write the following algebraic expression as a verbal expression: .

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

Q10:

Express one-sixth of in algebraic form.

• A
• B
• C
• D
• E

Q11:

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

• A
• B
• C
• D
• E

Q12:

Write an expression for the square of a number .

• A
• B
• C
• D
• E

Q13:

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

• A
• B
• C
• D
• E

Q14:

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

• A
• B
• C
• D
• E

Q15:

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

• A
• B
• C
• D
• E

Q16:

Write an expression that represents one seventh of .

• A
• B
• C
• D
• E

Q17:

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

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 follows  is .

• A
• B
• C
• D
• E

Q22:

Write the expression that means two times the square of .

• A
• B
• C
• D
• 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 person’s age now is , write an expression for the square of their age in 4 years.

• A
• B
• C
• D
• E