1.
Use the quadratic formula to solve the equation.
–x2 + 6x – 5 = 0 (1 point)
- –5, –1
- 1, 5
- –5, 11
- 2, 10
2.
A landscaper is designing a flower garden in the shape of a trapezoid. She wants the shorter base to be 3 yards greater than the height and the longer base to be 7 yards greater than the height. She wants the area to be 295 square yards. The situation is modeled by the equation h2 + 5h = 295. Use the quadratic formula to find the height that will give the desired area. Round to the nearest hundredth of a yard. (1 point)
- 17.36 yards
- 600 yards
- 14.86 yards
- 29.71 yards
3.
What is the number of real solutions?
12×2 – 11x = 11 (1 point)
- two real solutions
- one real solution
- cannot be determined
- no real solutions
4.
During a manufacturing process, a metal part in a machine is exposed to varying temperature conditions. The manufacturer of the machine recommends that the temperature of the machine part remain below 141°F. The temperature T in degrees Fahrenheit x minutes after the machine is put into operation is modeled by T = –0.005×2 + 0.45x + 125. Will the temperature of the part ever reach or exceed 141°F? Use the discriminant of a quadratic equation to decide. (1 point)
- yes
- no
