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Equation Word Problems Worksheet

A Grade 9 math worksheet focusing on translating word problems into algebraic equations and solving them.

Grade 9 Math Math Word ProblemsEquation Word Problems
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Includes

2 Short AnswerFill in the BlanksMultiple Choice

Standards

CCSS.MATH.CONTENT.HSA.CED.A.1CCSS.MATH.CONTENT.HSA.REI.B.3
6 sections · Free to use · Printable
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Equation Word Problems

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Read each word problem carefully. Translate the problem into an algebraic equation, then solve the equation to find the answer. Show all your work.

1. The sum of three consecutive integers is 84. What are the integers?

Equation:  

2. A rectangle has a perimeter of 48 cm. Its length is 5 cm more than its width. Find the dimensions of the rectangle.

Let 'w' be the width. Then the length 'l' is  .

The equation for the perimeter is   = 48.

The width is   cm and the length is   cm.

3. Sarah is 3 years older than her brother, Tom. The sum of their ages is 27. How old is Sarah?

a

12 years old

b

15 years old

c

18 years old

d

20 years old

4. A sum of money was divided among three friends: Alex, Ben, and Chris. Alex received twice as much as Ben, and Chris received $10 less than Alex. If the total amount divided was $90, how much did each person receive?

Equation: