Creating Equations from Word Problems (Grade 11)

This worksheet helps Grade 11 students practice translating word problems into algebraic equations.

Grade 11 Math Math Word ProblemsCreating Equations from Word Problems

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Includes

Fill in the BlanksShort AnswerMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.HSA.CED.A.1CCSS.MATH.CONTENT.HSA.CED.A.2

Topics

AlgebraWord ProblemsEquationsGrade 11Math

6 sections · Free to use · Printable

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Creating Equations from Word Problems

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Read each word problem carefully and translate it into a mathematical equation. You do not need to solve the equations.

1. The sum of three consecutive integers is 120. If the first integer is represented by 'x', the equation is .

2. A rectangle has a perimeter of 50 cm. If its length is 5 cm more than its width, and 'w' represents the width, the equation for the perimeter is .

3. Sarah is twice as old as her brother, Tom. In 5 years, the sum of their ages will be 40. If 't' represents Tom's current age, the equation is .

4. A car travels at a constant speed. If it covers a distance of 'd' miles in 'h' hours, write an equation that represents the car's speed 's'.

5. The cost of 'c' apples is $3.50, and the cost of 'p' pears is $2.75. Write an equation for the total cost 'T' if you buy 3 apples and 2 pears.

6. A farmer has a total of 50 chickens and cows. The total number of legs is 140. If 'c' represents the number of chickens and 'w' represents the number of cows, which system of equations correctly models this problem?

c + w = 50 2c + 4w = 140

c + w = 140 2c + 4w = 50

4c + 2w = 50 c + w = 140

2c + 4w = 50 c + w = 140

7. If 'x' represents a number, then 'three less than twice the number' can be written as 2x - 3.

True

False

8. The statement 'The product of two consecutive even integers is 48' can be represented as x(x+2) = 48.

True

False