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Solve by Factoring
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Square Roots
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100
The equation for the discriminant of a quadratic function.
What is b^2 - 4ac?
100
The solutions to (4x + 5)(x + 1) = 0
What are x= -5/4 or x= -1?
100

Solve for x: x2 = 5x

What is x= 0, x =5?

100
The solutions to -5x^2 = - 500 by using square roots.
What is x = 10 or x = -10?
100
The sum of a number and its square is 30. Find the numbers.
What are -6 or 5?
200
The number of solutions in x^2 - 2x + 5
What is 0 solutions?
200
The roots of y = x^2 + 7x + 10
What are x = -5 or x = -2?
200

Find the solutions for x2+11x=0

What are x=0, x=-11?

200
The solutions to 16x^2 = 49 after taking square roots
What are x = -7/4 or x = 7/4?
200
(Use h = -16t^2 + vt + c) A diver springs from the edge of a cliff 24 ft above the ocean with an initial upward velocity of 8 ft/s. The time when the diver reaches her MAXIMUM HEIGHT
What is 1/4 sec?
300
The number of times 6x^2 - 2x -3 crosses the x-axis
What is two times?
300
The solutions to 6x^2 - 18x - 18 = 6
What are x = 4 or x = -1?
300

Solve for x: 

x (2x+5) = 3

What are x = -3, x =1/2?

300

Find x by using a square root: 

f (x) = x2 - 64

What is x =-8, x = 8?

300
The length of a photograph is four cm longer than its width. The area is 45. Find the length and width of the photograph.
What is a width of 5 and a length of 9?
400
The number of roots in -x^2 - 9 = 6x
What is 1 root?
400
The roots of 35x^2 - 22x + 7 = 4
What are x = 1/5 or x = 3/7?
400

Solve for x:  x (x+5) =2x+2

What are x = -4, x = 1?

400

Solve the following equation using the square root method : 

9x2 = 16

What are x = -4/3 or x = 4/3?

400
The width of a rectangle is 3 inches more than twice its length. The area of the rectangle is 44. Find the dimensions of the rectangle.
What is a width of 11 in. and a length of 4 in.?
500
The equation with the most solutions: 4x^2 = 8x - 4 or 9x^2 + 6x + 6 = 5
What is neither. Both have 1 solution.
500
The solutions to -4x^2 - 8x - 3 = -3 - 5x^2
What are x = 0 or x = 8?
500

Find the solution of the following equation: 

1/2x2 + 7/6x + 1/3

What are x =-1/3, x=-2?

500

Find x using the square root method: 

f(x) = 4x - 9

What are x = -3/2 or x = 3/2 ? 

500
A circus acrobat is shot out of a cannon with an initial upward speed of 44 ft/s. If the acrobat leaves the cannon 12 ft. above the ground, the time it takes him to reach the ground. (Use h = -16t^2 + vt + c)
What is 3 seconds?