Practice: Quadratic Equations Word Problems (Puzzles) using Quadratic Formula
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Last updated over 2 years ago
7 questions
Ex. 1
The sum of two numbers is 18, and the product of these two numbers is 56. What are the numbers?
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The sum of two numbers is 22, and the product of these two numbers is 120. What are the numbers?
The sum of two numbers is 22, and the product of these two numbers is 120. What are the numbers?
1
The sum of the squares of two consecutive even integers is 244. What are these numbers?
The sum of the squares of two consecutive even integers is 244. What are these numbers?
1
The product of the ages of Alan and Terry is 80 more than the product of their ages 4 years prior. If Alan is 4 years older than Terry, what are their current ages?
The product of the ages of Alan and Terry is 80 more than the product of their ages 4 years prior. If Alan is 4 years older than Terry, what are their current ages?
Ex. 2
Doug went to a conference in a city 120 km away. On the way back, due to road construction, he had to drive 10 km/h slower, which resulted in the return trip taking 2 hours longer. How fast did he drive on the way to the conference?
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A train travelled 240 km at a certain speed. When the engine was replaced by an improved model, the speed was increased by 20 km/hr and the travel time for the trip was decreased by 1 hr. What was the rate of each engine?
A train travelled 240 km at a certain speed. When the engine was replaced by an improved model, the speed was increased by 20 km/hr and the travel time for the trip was decreased by 1 hr. What was the rate of each engine?
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Mr. Jones visits his grandmother, who lives 100 km away, on a regular basis. Recently, a new freeway has opened up, and although the freeway route is 120 km, he can drive 20 km/h faster on average and takes 30 minutes less time to make the trip. What is Mr. Jones’s rate on both the old route and on the freeway?
Mr. Jones visits his grandmother, who lives 100 km away, on a regular basis. Recently, a new freeway has opened up, and although the freeway route is 120 km, he can drive 20 km/h faster on average and takes 30 minutes less time to make the trip. What is Mr. Jones’s rate on both the old route and on the freeway?
Ex. 3
Find the length and width of a rectangle whose length is 5 cm longer than its width and whose area is 50 cm2.
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A park swimming pool is 10 m wide and 25 m long. A pool cover is purchased to cover the pool, overlapping all 4 sides by the same width. If the covered area outside the pool is 74 m2, how wide is the overlap area?
A park swimming pool is 10 m wide and 25 m long. A pool cover is purchased to cover the pool, overlapping all 4 sides by the same width. If the covered area outside the pool is 74 m2, how wide is the overlap area?
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The length of a room is 8 m greater than its width. If both the length and the width are increased by 2 m, the area increases by 60 m2. Find the dimensions of the room.
The length of a room is 8 m greater than its width. If both the length and the width are increased by 2 m, the area increases by 60 m2. Find the dimensions of the room.