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Translating Equations Worksheet

Grade 6 math worksheet on translating word problems into algebraic equations and vice versa.

Grade 6 Math AlgebraTranslating Equations
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Includes

Fill in the BlanksShort AnswerMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.6.EE.B.6

Topics

algebraequationsword problemsgrade 6math
6 sections · Free to use · Printable
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Translating Equations

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Read each question carefully and follow the instructions to translate between written phrases and algebraic equations.

Translate each word phrase into an algebraic equation. Use 'x' for the unknown number.

1. A number increased by seven is fifteen.  

2. Eight less than a number is twelve.  

3. The product of a number and five is thirty.  

4. A number divided by three is nine.  

5. Twice a number decreased by four is sixteen.  

Translate each algebraic equation into a word phrase. There may be more than one correct answer.

1. x + 9 = 20

2. y - 6 = 10

3. 7m = 42

Choose the equation that best represents each word problem.

1. Sarah has some apples. She buys 5 more, and now she has 12 apples. Which equation represents this situation?

a

x - 5 = 12

b

x + 5 = 12

c

5x = 12

d

x / 5 = 12

2. A group of friends splits a pizza into 8 equal slices. If each friend gets 2 slices, how many friends are there?

a

x + 2 = 8

b

x - 2 = 8

c

2x = 8

d

x / 2 = 8

Determine if the translation of the word phrase to an equation is true or false.

1. "The sum of a number and 10 is 25" can be written as x + 10 = 25.

T

True

F

False

2. "Four times a number is 36" can be written as 4 + x = 36.

T

True

F

False