Writing Algebraic Expressions - Grade 11
This worksheet focuses on writing algebraic expressions from verbal descriptions, covering various operations and real-world scenarios suitable for Grade 11 mathematics.
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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 less than twice a number:
2. The product of a number and seven, increased by ten:
3. The quotient of a number and three, decreased by four:
4. The sum of a number and its square:
5. Three times the difference of a number and eight:
6. A car travels at a speed of 60 miles per hour. Write an expression for the distance the car travels in 't' hours.
7. The cost of a taxi ride is $2.50 plus $1.75 per mile. Write an expression for the total cost of a ride that is 'm' miles long.
8. Sarah is 'y' years old. Her brother is 3 years older than her, and her sister is twice Sarah's age. Write an expression for the sum of their ages.
9. Which expression represents 'the sum of a number squared and five times the number'?
x + 5x²
x² + 5x
(x + 5)²
2x + 5x
10. Which phrase translates to the expression 4(n - 2)?
Four less than a number times two
Four times a number minus two
Four times the difference of a number and two
The product of four and two less than a number
11. The phrase 'a number divided by six' can be written as 6/x.
True
False
12. 'Ten more than half a number' is equivalent to (1/2)x + 10.
True
False
Match each verbal phrase on the left with its corresponding algebraic expression on the right.
13. A number increased by twelve
a. x² - 9
14. Nine less than a number squared
b. 9 - x²
15. The sum of a number and five, divided by two
c. x + 12
16. Twice a number decreased by seven
d. (x + 5) / 2
17. Seven less than twice a number
e. 2x - 7