Parabola
Word Problems
More Word Problems
Formula
Equations
100
Does a positive parabola open up or down?
Up
100
The sum of a number and its square is 56. Find the number.
7 or -8
100
The width of a rectangular park is 5 m shorter than its length. If the area of the park is 300 m squared, find the length and the width.
20 m, 15 m
100
What is the quadratic formula?
X equals the opposite of b plus or minus the square root of b squared minus 4acres over 2a (we will write it on the board)
100
a^2 + 0.7a - 0.1 = 0
0.1, -0.8
200
What is the minimum or maximum point of a parabola called?
Vertex
200
If the sides of a square are increased by 3 cm, its area becomes 100 cm squared. Find the length of the sides of the original square.
7 cm
200
The length of the base of a triangle is 4 times its altitude. If the area of the triangle is 162 cm squared, find the altitude. (Hint: Area of a triangle = half * base * height.)
9 cm
200
What form do you write a quadratic equation in?
ax^2 + bx + c = 0
200
4r^2 = 0.6r + 0.5
0.4, -0.3
300
Will this equation make a parabola? -x^2 + 2x + 2 = y
Yes
300
Together Maria and Johannes can pick a bushel of apples in 16 min. Maria takes 4 min more to pick a bushel than Johannes does. Find the time it takes each person to pick a bushel of apples alone.
Maria, 34.1 min; Johannes, 30.1 min
300
Cindy and Olaf leave the same point at the same time. Cindy is bicycling west at a rate of 2 mi/h faster than Olaf, who is traveling south. After one hour, they are 10 mi apart. How fast is each person traveling? (Hint: Use the Pythagorean theorem.)
Olaf, 6 mi/h; Cindy, 8 mi/h
300
To solve 4x^2 = 9x - 1, how would you rewrite it?
4x^2 - 9x + 1 = 0
300
2c^2 + 0.5c + two-thirds = 0
No real-number solution
400
Will this equation make a parabola? 4x + 5 = y
No
400
The Math Club bought a $72 calculator for club use. If there had been 2 more students in the club, each would have had to contribute 50 cents less. How many students were in the club?
16
400
The parks commission wants a new rectangular sign with an area of 25 m squared for the visitor center. The length of the sign is to be 4 m longer than the width. To the nearest tenth of a meter, what will length and the width of the sign?
The width of the sign is 3.4 m and the length is 7.4 m.
400
Use the quadratic formula to solve 9x^2 + 12x - 1 = 0.
0.1, -1.4
400
1.5x^2 + one-third of x + two-thirds = 0
No real-number solution
500
What is the vertex of a parabola with this equation? 2x^2 + 4x - 3 = y
(-1,-5)
500
Pipe A can fill a tank in 4 h. Pipe B can fill the tank in 9 h less than the time it takes pipe C, a drain pipe, to empty the tank. When all 3 pipes are open, it takes 2 h to fill the tank. How much time is required for pipe C to empty the tank if pipes A and B are closed?
12 h
500
The length of a rectangle is 6 inches more than its width. The area of the rectangle is 91 square inches. Find the dimensions of the rectangle.
The length is 7 and the width is 13.
500
Use the quadratic formula to solve x^2 = x - 8.
The equation has no real-number solution.
500
3x over x + 2 minus x + 1 over x - 1 = 0
-0.3, 3.3
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