Writing Algebraic Expressions
Grade 9 worksheet on translating verbal phrases into algebraic expressions and vice versa, covering fundamental algebraic concepts.
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Writing Algebraic Expressions
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Read each question carefully and write the correct algebraic expression or verbal phrase.
Write an algebraic expression for each verbal phrase.
1. The sum of a number and seven:
2. Eight less than twice a number:
3. The product of five and a number, decreased by ten:
4. The quotient of a number and three, increased by four:
Write a verbal phrase for each algebraic expression.
5. x - 9:
6. 4y + 2:
7. (m / 6) - 1:
8. 3(n + 5):
9. Which expression represents 'five less than a number squared'?
5 - x²
x² - 5
(x - 5)²
5x²
10. The cost of a taxi ride is $2.50 plus $1.50 per mile. If 'm' represents the number of miles, which expression shows the total cost?
2.50m + 1.50
1.50m + 2.50
2.50 + 1.50
m(2.50 + 1.50)
11. A carpenter charges a fixed fee of $50 for a service call, plus an hourly rate of $35. Write an algebraic expression to represent the total cost for a job that takes 'h' hours.
12. The perimeter of a rectangle is twice the sum of its length and width. If the length is 'l' and the width is 'w', write an expression for the perimeter.