No student devices needed. Know more
30 questions
What is the quadratic formula?
x=2(a)b−(b)2−4(a)(c)
x=2(a)−(b)±(b)2−4(a)(c)
x=2a(b)±(b)2−4(a)(c)
x=−(b)±b±4(a)(c)
What is the formula for the discriminant of a quadratic equation?
2a−b
b2−4ac
ax2+bx+c
2a−b±b2−4ac
What does the discriminant tell us?
The maximum or minimum
The y-intercept
The number of solutions
The axis of symmetry
If the discriminant is positive, then the solution will be
one real solution
two real solutions
no real solutions
one imaginary solution
If the discriminant is negative, you will have....
two real solutions
two irrational solutions
no solution
one solution
If the discriminant is equal to 0, how many solutions are there?
No solutions
1 Solution
2 Solutions
Infinite solutions
If the discriminant is equal to 4, how many solutions are there?
No Solutions
1 Solution
2 Solutions
Infinite Solutions
If the discriminant is equal to -2, how many solutions are there?
No Solutions
1 Solution
2 Solutions
Infinite Solutions
Is the discriminant for this function positive, negative, or zero?
Positive
Negative
Zero
Not enough information
Is the discriminant for this function positive, negative, or zero?
Positive
Negative
Zero
Not enough information
Use the discriminant to determine the number of solutions the function 4x2 + 4x + 1 = 0 has.
0
1
2
More than 2
Use the discriminant to determine the number of solutions the following quadratic equation has: x2 - 6x + 9 = 0
0, No Solutions
0, 1 Solution
72, 2 Solutions
-72, No Solution
Use the discriminant to determine the number of solutions the following quadratic equation has: -8x2 + 6x - 4 = 0
-92, No Solutions
164, 2 Solutions
-164, No Solutions
92, 2 Solutions
Use the discriminant to determine the number of solutions the following quadratic equation has: -2x2 − x − 1 = 0
76 Two Solutions
-7 No Solutions
9 Two Solutions
0 One Solution
What is the most efficient method for solving x2+7x+12 ?
Factoring
Graphing
Quadratic Formula
Square Roots
What is the most efficient method for solving x2−16=0 ?
Factoring
Graphing
Quadratic Formula
Square Root
What is the most efficient method for solving x2−3x=5 ?
Factoring
Graphing
Quadratic Formula
Square Roots
Find the zeros of the equation:
(x + 10)(x - 2) = 0
10 and 2
-2 and 10
-10 and 2
-2 and -10
Use the quadratic formula to solve: x2 + 4x - 40 = -8
-10 & -4
-4 & 10
-8 & 4
8 & -4
Use the quadratic formula to solve: 3x2 - 11x + 10 = 0
1.7 or 2
1 or 2
1.5 or 2
-1.7 or 2
Use the quadratic formula to solve: 9x2 = 4 + 7x
x = 2 and x = 3
x = -1 and x = .25
x = 1 and x = -.45
x = 1.16, and x = -.38
Use the quadratic formula to solve: 2x2 + 7x - 15 = 0
-1.5 or 5
No Solution
-5 or 1.5
0.7 or 5
Use the quadratic formula to solve: 0 = -x2 - 5x + 12
-4.9 and -0.1
-8.54 and 8.54
-0.45 and 3.55
-6.77 and 1.77
Use the quadratic formula to solve: 2x2 - 9x - 35 = 0
x = 7/2, x = -6
x = -5/2, x =5
x = -3/7, x =6
x = -5/2, x = 7
A coin is tossed from a 40 foot tall tower of a castle. The coin is tossed upward off of the tower with a velocity of 9 ft/sec. Use the formula h(t) = -16t2 + vt + s where h is the height of the coin, t is the time, v is the starting velocity and s is the starting height of the coin. Which of the following would be the equation that represents the given situation?
h(t) = -16t2 + 40t + 9
h(t) = -16t2 + 9t + 40
h(t) = -16t2 + 9t
h(t) = -16t2 + 40
A coin is tossed from a 40 foot tall tower of a castle. The coin is tossed upward off of the tower with a velocity of 9 ft/sec. Use the formula h(t) = -16t2 + 9t + 40 to calculate how long it will take the coin to hit the ground.
1.6059 seconds
1.8772 seconds
-1.3247 seconds
1.8872 seconds
A soccer ball is kicked from the ground with an initial upward velocity of 90 feet per second. The equation h = -16t2 + 90t gives the height h of the ball after t seconds. How many seconds will it take the ball to hit the ground?
126.56 ft
5.625 sec
2.81 sec
0 ft
You and your friends are diving off a 24 foot cliff into the ocean. How long would it take to reach the water using the formula: h(t) = -16t2 + 8t + 24?
8 seconds
1 second
1.5 seconds
1/4 second
The function f(t) = -5t2 + 20t + 60 models the approximate height of a toy rocket t seconds after it is launched. How many seconds does it take the rocket to hit the ground?
4 seconds
-2 seconds
-6 seconds
9 seconds
Explore all questions with a free account