Algebraic Expressions Word Problems Worksheet
Are you a middle school or high school student struggling with algebraic expressions and word problems? Look no further, as we have designed a comprehensive and practical Algebraic Expressions Word Problems Worksheet specifically for you. This worksheet aims to provide you with ample practice in translating words into algebraic expressions and applying them to solve real-world scenarios.
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A rectangular garden has a length of 9 meters and a width of 5 meters. Express the area of the garden as an algebraic expression.
The area of the rectangular garden can be expressed as the product of its length and width, so the algebraic expression for the area of the garden is 9 meters * 5 meters = 45 square meters.
Mary is buying 3 apples that cost $0.50 each and 5 bananas that cost $0.75 each. Express the total cost of her purchase as an algebraic expression.
The total cost of Mary's purchase can be expressed as 3($0.50) + 5($0.75), which simplifies to $1.50 + $3.75, equaling $5.25. So, the algebraic expression for Mary's purchase would be $5.25.
A train travels at a speed of 50 miles per hour for 2 hours. Express the distance traveled by the train as an algebraic expression.
The algebraic expression representing the distance traveled by the train is 50 * 2 = 100 miles.
John has $20 and spends $8 on a book. Express the amount of money John has left as an algebraic expression.
John has $20 - $8 = $12 left after spending $8 on a book. This can be expressed algebraically as 20 - 8 = 12.
The temperature starts at 10 degrees Celsius and decreases by 3 degrees each hour. Express the temperature after n hours as an algebraic expression.
The temperature after n hours can be expressed as: 10 - 3n.
A rectangle has a length that is 2 more than twice its width. Express the length of the rectangle as an algebraic expression in terms of its width.
The length of the rectangle can be expressed as 2w + 2, where w represents the width of the rectangle. Since the length is 2 more than twice the width, we multiply twice the width by 2 and add 2 to get the expression for the length.
A container is filled with x liters of water and then loses 2 liters each day for n days. Express the amount of water remaining in the container as an algebraic expression.
The amount of water remaining in the container after losing 2 liters each day for n days can be expressed as x - 2n liters.
The perimeter of a square is 4 times the length of one of its sides. Express the perimeter of the square as an algebraic expression.
The perimeter of the square can be expressed as 4s, where 's' represents the length of one of its sides. In this case, the perimeter is equal to 4 times the length of one side of the square.
A car travels at a constant speed of 60 kilometers per hour for t hours. Express the distance traveled by the car as an algebraic expression.
The distance traveled by the car can be expressed as 60t, where 60 is the constant speed in kilometers per hour and t represents the number of hours the car travels at that speed.
The sum of three consecutive numbers is 45. Express the three numbers as an algebraic expression.
Let the three consecutive numbers be x, x+1, and x+2. According to the given information, x + (x+1) + (x+2) = 45. Simplifying the equation gives 3x + 3 = 45. Solving for x by subtracting 3 from both sides gives x = 14. Therefore, the three consecutive numbers are 14, 15, and 16, which can be expressed algebraically as x, x+1, and x+2.
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