Writing Algebraic Expressions Worksheet
This worksheet helps Grade 10 students practice writing algebraic expressions from verbal descriptions, covering various operations and real-world scenarios.
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Writing Algebraic Expressions
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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'?
12 - x³
x³ - 12
3x - 12
12 - 3x
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'.
True
False
Match each verbal phrase on the left with its corresponding algebraic expression on the right.
10. A number decreased by nine
a. x + 9
11. The sum of a number and nine
b. 9x
12. Nine times a number
c. x - 9
13. Nine divided by a number
d. 9/x