Writing Algebraic Expressions Worksheet

Writing Algebraic Expressions

Read each verbal description carefully and write the corresponding algebraic expression. Use 'x' as your variable unless otherwise specified.

1. Five more than twice a number:  

2. The product of a number and seven, decreased by three:  

3. The quotient of a number and four, increased by ten:  

4. Three less than the sum of a number and six:  

5. A number squared, minus eight times the number:  

6. Which expression represents 'the difference between a number cubed and twelve'?

7. A taxi charges a flat fee of $3.50 plus $2.25 per mile. Write an expression for the total cost of a taxi ride that is 'm' miles long.

8. Sarah is 'y' years old. Her brother, Tom, is 3 years older than twice her age. Write an expression for Tom's age.

9. The expression '2(x + 5)' represents 'twice the sum of a number and five'.

Match each verbal phrase on the left with its corresponding algebraic expression on the right.