Translating Sentences into Equations
Practice translating word problems and sentences into algebraic equations for Grade 9 students.
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Translating Sentences into Equations
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Read each sentence carefully and translate it into an algebraic equation. Use 'x' as your variable unless otherwise specified.
1. Five more than a number is equal to 12.
2. The product of 3 and a number is 21.
3. A number decreased by 7 is 15.
4. The quotient of a number and 4 is 9.
5. Which equation represents 'Twice a number, increased by 5, is 17'?
2x - 5 = 17
2x + 5 = 17
x/2 + 5 = 17
2(x + 5) = 17
6. Which equation represents 'The sum of a number and 8 is divided by 3, resulting in 6'?
x + 8/3 = 6
(x + 8)/3 = 6
3(x + 8) = 6
x + 8 = 3 * 6
7. Sarah bought 3 notebooks and a pen. The pen cost $2, and her total bill was $17. Write an equation to represent the cost of one notebook (let 'n' be the cost of one notebook).
8. A rectangle's length is twice its width. If the perimeter of the rectangle is 30 cm, write an equation to represent this situation (let 'w' be the width).
9. The sentence 'Subtract 6 from a number, then multiply by 2 to get 20' can be written as 2(x - 6) = 20.
True
False
10. 'Half of a number is 10 less than the number itself' translates to x/2 = x - 10.
True
False
11. The sum of three consecutive integers is 45. (Let 'x' be the first integer)
12. A number is 5 less than twice another number. Their sum is 25. (Let 'x' be the first number and 'y' be the second)
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