Translating Equations Worksheet

Grade 10 math worksheet focusing on translating word problems into algebraic equations and vice versa.

Grade 10 Math AlgebraTranslating Equations

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Includes

3 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

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

Topics

AlgebraEquationsWord ProblemsGrade 10

8 sections · Free to use · Printable

Translating Equations

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Read each question carefully and follow the instructions to translate between verbal expressions and algebraic equations.

Translate the following verbal expressions into algebraic equations. Use 'x' for the unknown number.

1. Five less than twice a number is equal to fifteen.

2. The sum of a number and seven, divided by three, is four.

3. The product of six and a number, decreased by ten, is forty-four.

Translate the following algebraic equations into verbal expressions.

4. 3x + 8 = 20

5. (y - 5) / 2 = 9

6. 7(z + 1) = 35

Complete the following sentences by filling in the blanks with the correct algebraic expression or verbal phrase.

7. "The difference between a number and four" can be written as .

8. The equation x/5 + 2 = 10 means " a number and two is ten."

9. If "a number increased by three" is represented as x + 3, then "a number decreased by three" is represented as .

10. Which equation correctly represents "Three times the sum of a number and eight is twenty-seven"?

3x + 8 = 27

3(x + 8) = 27

x + 3 + 8 = 27

3 + x + 8 = 27

11. The verbal expression for 4x - 1 = 19 is:

Four times a number plus one is nineteen.

One less than four times a number is nineteen.

Four minus a number equals nineteen.

Four times a number minus nineteen is one.

Determine if the following statements are True (T) or False (F).

12. The phrase "twice a number decreased by seven" translates to 2x - 7.

True

False

13. The equation x + 6 = 15 can be verbally expressed as "six more than a number is fifteen."

True

False

Read the following word problems and translate them into a single algebraic equation. Do not solve the equation.

14. Sarah bought 3 notebooks and a pen. The pen cost $2, and the total cost was $17. Let 'n' be the cost of one notebook.

15. A rectangle has a perimeter of 50 cm. Its length is 5 cm more than its width. Let 'w' be the width of the rectangle.