Worksheet on the Applications of Rational Algebraic Expressions
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This worksheet contains 4 problems involving rational algebraic expressions: 1) Finding the length of a rectangular garden given its area of 25 sqm and a width of 5m. 2) Determining the dimensions of a rectangle with an area of 24 sqm. 3) Calculating how long it would take Ira alone to paint a house given that Jays and Ira together can do it in 4 hours and it takes Jays 8 hours alone. 4) Finding the rates of an express train that travels 100km in the same time as a freight train that goes 50km, if the express train is 20km/hr faster.
Worksheet on the Applications of Rational Algebraic Expressions
- 1. WORKSHEET Applications on Rational Algebraic Expressions Name: _____________________________________________ SCORE: _____________________ DATE: ______________________ I. Read and analyze each question. Write your complete solution and highlight your final answer. 1. What is the length of a rectangular garden if its area measures square meters with a width of meters? 2. What are the dimensions of a rectangle whose area measures ? 3. Jays and Ira can together paint a house in 4 hours. It takes Jays 8 hours to do the job alone. How long will it take Ira to do the job alone? Representation: Rate (individual) Time (together) Work (rate x time) Jays Ira Working Equation: 4. An express train travels 100 km in the same time that a freight train travels 50 km. If the express train goes 20 km per hour faster than the freight train, find the rate of each train. Representation: Distance Rate or Speed Time Express Train Freight Train Working Equation: