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Algebraic Equation Word Problems

This worksheet provides Grade 11 students with practice solving word problems by setting up and solving algebraic equations.

Grade 11 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

Topics

AlgebraWord ProblemsEquationsGrade 11
6 sections · Free to use · Printable
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Algebraic Equation Word Problems

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Read each word problem carefully. Set up an appropriate algebraic equation and solve it. Show all your work.

1. The sum of three consecutive integers is 126. Find the three integers.

2. A rectangle has a perimeter of 96 meters. Its length is 6 meters more than its width. Find the dimensions of the rectangle.

Length = w + 6Width = w

3. Sarah bought a new laptop for $1200. She made a down payment of $250 and will pay the remaining balance in equal monthly installments of $ . If she has to pay for 10 months, each installment will be $ .

4. A car travels at an average speed of 60 miles per hour. If it travels for   hours, it will cover a distance of 270 miles. The equation to represent this is  .

5. A sum of money is divided between two friends, Alex and Ben, in the ratio 3:5. If Ben receives $120 more than Alex, what is the total sum of money?

a

$300

b

$480

c

$720

d

$960

6. A train leaves station A traveling towards station B at a speed of 70 mph. Two hours later, another train leaves station B traveling towards station A at a speed of 80 mph. If the distance between the stations is 530 miles, how long after the second train leaves will they meet?