Translating Sentences into Equations

Practice translating word problems and sentences into algebraic equations for Grade 9 students.

Grade 9 Math AlgebraTranslating Sentences Into Equations

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Includes

2 Fill in the BlanksMultiple ChoiceShort AnswerTrue / False

Standards

CCSS.MATH.CONTENT.HSA.SSE.A.1CCSS.MATH.CONTENT.HSA.CED.A.1

Topics

AlgebraEquationsWord ProblemsGrade 9

7 sections · Free to use · Printable

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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)