A quadratic equation in the form ax^2+bx+c (a>0) that can be used to find the time for an object to land on the ground if the height at time, t, is h(t)=-16t^2+60t+150
What is 16t^2-60t-150=0
100
Solutions to x^4 - 16 = 0
What is +/-2 and +/- 2i
100
What is the quadratic formula?
x = "negative b plus or minus the square root of b squared minus 4ac all over 2a"
100
Solve x² + 2x = 48 by completing the square.
What is x = -8 or x = 6?
100
Solve for x if sqrt (2x+3) = x
What is x= 3?
200
A quadratic equation in the form ax²+bx+c (a>0) that can be used to find the side length of a square with a diagonal of 30 feet.
What is 2x²-900=0 (or x²-450=0)
200
Find the roots of 2x² + 3x - 5 = 0
What is x = 1 or x = -5/2
200
Solve x² + 4x = 21 by completing the square.
What is x = -7 or x = 3?
200
Find the solution(s) for sqrt(3x+1) - x - 1 = 0
what is 0?
300
A quadratic equation in the form ax²+bx+c = 0 (a>0) that can be used to find the dimensions of a rectangle with length of 8 ft longer than the width, and a diagonal of 15 feet.
What is 2x²+8x-161=0
300
Find the solution(s) for sqrt(3x+1) - x - 1 = 0
What is 0
300
Using the quadratic formula, find the roots of 2x = x² - 3
What is x = 3 or x = -1
300
Complete the square to find the roots for x² - 6x = -5
What is x = 5 or x = 1
300
The solution(s) for x + 6 - sqrt(2x + 60) = 0
What is 2
400
Where is the axis of symmetry of a parabola located?
The A.O.S is the vertical line passing through the vertex that divides the parabola into 2 symmetric halves. It passes through the x-coordinate of the vertex.
400
Tell whether the following statement is sometimes, always, or never true:
"The vertex of a parabola occurs at the minimum value of the function"
What is sometimes
400
Using the quadratic formula, find the roots of x² -6x = -9
What is x = 3
400
Complete the square to find the roots of y² + 6y = -2
What is "-3 plus or minus the square root of 7"
400
The _______ is the highest or lowest point on a parabola.
What is the vertex?
500
Find the axis of symmetry for y - 2x² - 4x = 1
What is x = -1
500
Find the vertex for y - 8x = 16 - x²
What is (4, 32)
500
Using the quadratic formula, find the roots of x² + 3x - 7 = 0
What is "-3 plus or minus the square root of 37 all over 2"