Problem 1 :
The function f(t) = -5t^{2} + 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?
Problem 2 :
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?
Problem 3 :
The larger leg of a right triangle is 3 cm longer than its smaller leg. The hypotenuse is 6 cm longer than the smaller leg. How many centimeters long is the smaller leg?
Problem 4 :
Which term is a factor of 3a^{2} + 12a?
A. 3a B. 4a C. 3a^{2 }D. 4a^{2}
Problem 5 :
Which graph displays function f(x) = (2x + 3) (x - 2)?
Problem 6 :
The floor of a rectangular cage has a length 4 feet greater than its width, w. James will increase both dimensions of the floor by 2 feet. Which equation represents the new area, N, of the floor of the cage?
A. N = w^{2} + 4w B. N = w^{2} + 6w C. w^{2} + 6w + 8
D. w^{2} + 8w + 12
Problem 7 :
Which expression is equivalent to t^{2} - 36?
A. (t - 6)(t - 6) B. (t + 6)(t - 6)
C. (t - 12)(t - 3) D. (t - 12)(t +3)
Problem 8 :
Draw the graph of the function f(x) = 4x^{2} - 8x + 7?
Problem 9 :
Suppose that the equation V = 20.8x^{2} - 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
Problem 10 :
The number of bacteria in a culture can be modeled by the function N(t) = 28t^{2} - 30t + 160, where t is the temperature, in degrees Celsius, the culture is being kept. A scientist wants to have fewer than 200 bacteria in a culture in order to test a medicine effectively. What is the approximate domain of temperatures that will keep the number of bacteria under 200?
A. -1.01°C < t < 2.03°C B. -0.90°C < t < 1.97°C
C. -0.86°C < t < 1.93°C D. -0.77°C < t < 1.85°C
Problem 11 :
Which equation has exactly one real solution?
A. 4x^{2} - 12x - 9 = 0 B. 4x^{2} + 12x + 9 = 0
C. 4x^{2} - 6x - 9 = 0 D. 4x^{2} + 4x + 9 = 0
Problem 12 :
The sum of two numbers is 24. The sum of the squares of the two numbers is 306. What is the product of the two numbers?
A. 119 B. 128 C. 135 D. 144
Problem 13 :
The heights of two different projectiles after they are launched are modeled by f(x) and g(x). The function f(x) is defined as f(x) = -16x^{2} + 42x + 12. The table contains the values for the quadratic function g.
What is the approximate difference in the maximum heights achieved by the two projectiles?
A. 0.2 feet B. 3.0 feet C. 5.4 feet D. 5.6 feet
Problem 14 :
Which expression is equivalent to -3x(x - 4) - 2x(x + 3)?
(A) -x^{2} - 1 (B) -x^{2} + 18x (C) -5x^{2} - 6x (D) -5x^{2} + 6x
Problem 15 :
The length f a rectangle is 3 inches more than its width. The area of the rectangle is 40 square inches. What is the length, in inches, of the rectangle?
(A) 5 (B) 8 (C) 8.5 (D) 11.5
Problem 16 :
Which expressions represents 36x^{2} - 100y^{6} factored completely?
(A) 2(9x + 25y^{3})(9x - 25y^{3}) (B) 4(3x + 5y^{3})(3x - 5y^{3})
(C) (6x + 10y^{3})(6x - 10y^{3}) (D) (18x + 50y^{3})(18x - 50y^{3})
Problem 17 :
What are the roots of the equation x^{2} - 5x + 6 = 0?
(A) 1 and -6 (B) 2 and 3 (C) -1 and 6 (D) -2 and -3
Problem 18 :
Which expression is equivalent to 64 - x^{2} ?
(A) (8 - x)(8 - x) (B) (8 - x)(8 + x) (C) (x - 8)(x - 8)
(D) (x - 8)(x + 8)
Problem 19 :
The equation of the axis of symmetry of the graph of y = 2x² - 3x + 7 is
Problem 20 :
The roots of the equation 3x^{2} - 27x = 0 are
(A) 0 and 9 (B) 0 and -9 (C) 0 and 3 (D) 0 and -3
May 21, 24 08:51 PM
May 21, 24 08:51 AM
May 20, 24 10:45 PM