| Solving Quadratics | Quadratics Knowledge | Factoring | General Knowledge | Just some really hard random problems that I wouldn’t pick if I were you. | 
|---|---|---|---|---|
| 
						
					 
					  x=-2,2					 
					
					 x^2-1=3 
					 | 
				
				
						
					 
					  Factoring 
					Completing the square Quadratic Formula that one other one that i forgot. 
					 What are all the methods for solving a quadratic? 
					 | 
				
				
						
					 
					  x(x+1)(x-1)					 
					
					 Factor x^4+x^3-x 
					 | 
				
				
						
					 
					  A parabola.					 
					
					 What shape is a quadratic function when graphed? 
					 | 
				
				
						
					 
					  2 and 97					 
					
					 Two prime numbers were written on a whiteboard. Each of these numbers was increased by one. This caused their product to increase by exactly 100. Which numbers were originally written on the board? 
					 | 
						
| 
						
					 
					  x=-2,-3					 
					
					 x^2+5x+6=0 
					 | 
				
				
						
					 
					  x=-b+-sqrt(b^2-4ac) 
					————————- 2a 
					 What is the quadratic formula? 
					 | 
				
				
						
					 
					  2(x+2)(x+1)					 
					
					 Factor 2x^2+6x+4 
					 | 
				
				
						
					 
					  ax^2+bx+c=0 (you gotta have that =0 part)					 
					
					 What is the standard form of a quadratic equation. 
					 | 
				
				
						
					 
					  8					 
					
					 How many two-digit numbers give a perfect square when added to its “mirror” (the two-digit number written with its digits in reverse order)? 
					 | 
						
| 
						
					 
					  x= -9/2 +- sqrt(130)/2					 
					
					 Solve by completing the square. 
					x^2+9x+4=16.25  | 
				
				
						
					 
					  1, 2, or 3					 
					
					 How many terms can there be in a quadratic? 
					 | 
				
				
						
					 
					  -7x(x+1)					 
					
					 Factor -7x^2+12x-19x 
					 | 
				
				
						
					 
					  0, 1, or 2. (you have to list all 3)					 
					
					 List all the roots that can be in a quadratic equation. 
					 | 
				
				
						
					 
					  Let N be the number of odd numbers written by the teacher. Recall that the sum of the first N odd 
					numbers is equal to N^2 (this can be easily proven by induction). After Mary deleted one of the numbers, there are now (N-1) numbers on the board and the minimum their sum can be is N^2 – (2N-1)=(N-1)^2 . (The biggest number written by the teacher is Nth odd number, which is (2N-1)). Therefore, the sum of the remaining numbers on the board is between (N-1)^2 and N^2 . Since 700 is between 26^2 and 27^2 , we conclude that N = 27, which means that the missing number is 27^2 – 700 = 29. Answer: 29. 
					 A teacher wrote out the first few odd numbers 1, 3, 5…. on a whiteboard. Mary erased one of the 
					numbers. The remaining numbers add up to 700. Which number was erased by Mary? Find all possibilities and prove that there are no others.  | 
						
| 
						
					 
					  x=-5/2					 
					
					 4x^2+20x+25 
					 | 
				
				
						
					 
					  1. standard form 
					2. square b/2 and add to both sides so that c is (b/2)^2 3. square root both sides 4. dont forget the +-! 
					 Name the steps to completing the square. 
					 | 
				
				
						
					 
					  x^2+x+1					 
					
					 Factor x^2+x+1 
					 | 
				
				
						
					 
					  Graphing given domain.					 
					
					 What was the aim on 12/16/2021? (in math) 
					 | 
						|
| 
						
					 
					  x=-93/28 +-sqrt(8593)/28					 
					
					 14x^2+93x+1=0 
					 | 
				
				
						
					 
					  -b/2a					 
					
					 When a quadratic equation is graphed, it is a symmetrical parabola. The roots are the two values at y=0. What is the x value of the parabola’s vertex in terms of a,b, and c? (at what x value is the line of symmetry at?) 
					 | 
				
				
						
					 
					  5(6x^2+x-5) 
					5(6x^2+6x-5x-5) 5(6x(x+1)-5(x+1)) 5(6x-5)(x+1) 
					 Factor 30x^2+10x-5(x+5) 
					 | 
				
				
						
					 
					  Conjugate					 
					
					 What is the name of the opposite when you’re doing difference of squares? 
					Eg: the “opposite” (the question is asking for the name of the “opposite”) of 2x+1 is 2x-1.  | 
						|