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WorksheetsQuadratic Word Problems
Total questions: 12
Worksheet time: 2hrs 30mins
Name
Class
Date
1.
If you square 5 more than a positive number, the result is 88 more than 12 times the number. Find the numbers.
a)
-9, 7
b)
√75
c)
9, -7
d)
15, -5
2.
The product of two consecutive negative even integers is 24. Find the integers.
a)
6, 8
b)
6, 4
c)
-6, -8
d)
-6, -4
3.
The product of two consecutive positive numbers is 132. Find the numbers.
a)
11, 12
b)
-11, -12
c)
-11, 12
d)
11, -12
4.
One leg of a right triangle is seven more than the other leg. The hypotenuse is eight more than the shorter leg. Find the lengths of the longest side.
a)
5 ft
b)
3 ft
c)
12 ft
d)
13 ft
5.
The area of a playground is 336 yd2 . The width of the playground is 5 yd longer than its length. Find the length and width of the playground
a)
length = 26 yd, width = 21 yd
b)
length = 21 yd, width = 26 yd
c)
length = 21 yd, width = 16 yd
d)
length = 16 yd, width = 21 yd
6.
Suppose that the equation V = 20.8x2 – 458.3x + 3,500 represents the value of a car from 1964 to 2002. What year did the car have the least value? (x = 0 in 1964)
a)
1965
b)
1970
c)
1975
d)
1980
7.
What is the smallest of 3 consecutive positive integers if the product of the smaller two integers is 5 less than 5 times the largest integer?
a)
10
b)
-5
c)
5
d)
-10
8.
An object in launched directly upward at 64 feet per second (ft/s) from a platform 80 feet high. Its height is represented by the equation s(t) = –16t2 + 64t + 80. What will be the object's maximum height?
a)
2 ft
b)
80 ft
c)
144 ft
d)
64 ft
9.
A diver is standing on a platform above the pool. He jumps form the platform with an initi8al upward velocity of 8 ft/s. Use the formula h t = −16 t2 + 8t + 24, where h is his height above the water, t is the time, v is his starting upward velocity, and s is his starting height. How high is the platform?
a)
.25 ft
b)
24 ft
c)
25 ft
d)
8 ft
10.
The function f(t) = -5t2+20t + 60 models the approximate height of an object t seconds after it is launched. How many seconds does it take the object to hit the ground?
a)
4 seconds
b)
-2 seconds
c)
-6 seconds
d)
9 seconds
11.
The profit from selling local ballet tickets depends on the ticket price. Using past receipts, we find that the profit can be modeled by the function p= -15x2 +600x +60 , where x is the price of each ticket. What is the maximum profit you can make from selling tickets?
a)
$6060
b)
$20
c)
$600
d)
$10,250
12.
A rectangle has an area of 24 square units. The width is 5 units less than the length. What is the length, in units, of the rectangle?
a)
6
b)
8
c)
3
d)
19
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