Key Features
Factoring/Solving
Completing the Square
Complex Solutions
Word Problems
100
Find the vertex: y = x^2 + 4x - 8
What is (-2, -12)
100
Factor: f(x) = x^2 + 4x + 3
What is f(x) = (x + 1)(x + 3)
100
Complete the square: f(x) = x^2 + 14x - 38
What is f(x) = (x + 7)^2 - 87
100
Solve: 2x^2-6x+5=0
What is (3+i)/2, (3-i)/2
100
The square of a number minus nine times that number is thirty-six. What is the number?
What is 12 or -3
200
Find the y-intercept: 3x^2 - x + 14
What is (0, 14)
200
Solve: f(x) = x^2 + 5x + 6
What is x = -3, -2
200
Complete the square: f(x) = x^2 + 6x - 59
What is f(x) = (x + 3)^2 - 68
200
Solve: -x^2 + 4x - 5 = 0
What is -2 + i, -2 - i
200
Find two consecutive integers whose product is 20.
What is -5 and -4 or 4 and 5
300
Find the Axis of Symmetry: y = 3(x - 4)^2 + 4
What is x = 4
300
Factor: f(x) = 2x^2 - 4x -48
What is f(x) = 2(x - 6)(x + 4)
300
Complete the square: f(x) = x^2 + 14x - 51
What is f(x) = (x + 7)^2 - 100
300
Solve: 5x^2 + 8x = -4
What is (-4 + 2i)/5, (-4 - 2i)/5
300
The length of a rectangle is three more than the width. If the area is 40 square inches, what are the dimensions?
What is 8 by 5
400
Find the roots: y = (x + 4)(x - 2)
What is x = -4, 2
400
Factor: f(x) = 2x^2 - x - 3
What is f(x) = (2x - 3)(x + 1)
400
Complete the square: f(x) = x^2 - 12x + 11
What is f(x) = (x - 6)^2 + 24
400
Solve: 5x^2 + 8x + 5 = 0
What is (-4 + 3i)/5, (-4 - 3i)/5
400
A ball is thrown upward from an initial height of 16 feet with an upward velocity of 32 feet per second. After how many second will the ball reach the ground? Use the function h(t) = -16t^2 + 32t - 16
What is 1 second
500
Find the minimum value: y = 2(x + 4)^2 - 6
What is y = -6
500
Solve: f(x) = 2x^2 + 3x - 27
What is x = -4.5, 3
500
Complete the square: f(x) = x^2 - 2x - 3
What is f(x) = (x - 1)^2 - 4
500
Solve: 2x^2 - 6x + 7 = 0
What is (3 + i[5)/2, (3 - i[5)/2
500
A projectile is blasted upward at an initial velocity of 100 ft/s. The height, h(t), of the object is a function of time, t(in seconds), and is given by the equation h(t) = 100t - 16t^2. How long will it take the object to hit the ground after takeoff?
What is 6.25 seconds
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