Grade 12 Equation Word Problems
This worksheet focuses on solving complex equation word problems, including systems of equations, quadratic equations, and rational equations, suitable for Grade 12 mathematics.
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Grade 12 Equation Word Problems
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Read each word problem carefully, set up the appropriate equation(s), and solve for the unknown(s). Show all your work.
1. A chemist needs to mix 20 liters of a 40% acid solution with a 70% acid solution to obtain a 50% acid solution. How many liters of the 70% acid solution should be used?
2. The length of a rectangular garden is 5 meters more than its width. If the area of the garden is 84 square meters, the width of the garden is meters and the length is meters.
3. It takes a smaller pipe 2 hours longer to fill a tank than it does a larger pipe. When both pipes are open, they can fill the tank in 3 hours. How long would it take the larger pipe alone to fill the tank?
4 hours
5 hours
6 hours
7 hours
4. The population of a certain species of bacteria doubles every 3 hours. If there are 100 bacteria initially, how long will it take for the population to reach 1600 bacteria? Express your answer to the nearest hour.
5. If you mix 5 liters of a 20% saline solution with 5 liters of a 30% saline solution, the resulting solution will be a 25% saline solution.
True
False