Factoring
Quadratic Formula
Completing the Square
Complex Solutions
Systems Involving Quadratics
100

The factors of x2+3x+2 are _____ and  _______.

What are (x+2) and (x+1)?

100

The discriminant of a quadratic is -49, which means there are _____ real solutions to the equation.

What is zero real solutions?
100

To create a perfect square trinomial, we need to take b divided by 2 then _______ it.

What is square?
100

The value of i2.

What is -1?

100

The solution(s) to any system of equations.

What is the point(s) where the graphs meet?

200

The solutions of the equations x2+12x+32=0 are _____ and  _____.

What are -8 and -4.

200
Using the Quadratic Formula, we see the solutions to the equation 2x2-5=-3x are _____________.

What are -5/2 and 1?

200
To complete the square of x2+6x, I need to add _______.
What is 9?
200
The sum of 4+5i and 3-6i is ______.

What is 7-i?

200
The two methods for solving systems of equations involving quadratics are __________.
What are graphing and substitution?
300

The roots of the equation x2-4x-21=0 are _____ and _____.

What are 7 and -3?

300

Using the Quadratic Formula, we find the solutions of x(x-5)=-4 to be ____________.

What are 1 and 4?

300

The solutions to 6x2=54 are _______.

What are 3 and -3?

300

The square root of -16i is _______.

What is 4i?

300

Using substitution, we find the solutions of the system y=x2+4x+1 and y=x+1 are _________.

What are (0,1) and (-3,-2)?

400

The solutions of the equation 2x2-x-3=0 are _____ and ______.

What are -1 and 3/2?

400

The solutions of 6x2-5x-1=0 are _____________.

What are -1/6 and 1?

400

The solutions of x2-2x+1=4 are ________.

What are -1 and 3?

400

To simplify 4 divided by 2-3i, we must multiply the numerator and denominator by _____.

What is the conjugate, which is 2+3i?

400

Using substitution, we find the solutions of the system y=-x2-3x-2 and y=x2+3x+2 are ______.

What are (-1,0) and (-2,0)?
500

The equation -4x2-16x=0 has the solutions ____ and ____.

What are x=0 and x=-4?

500

Using the discriminant, we know that the graph of f(x)=x2-4x+4 crosses touches the x-axis exactly _____ times.

What is one time?

500

The exact solutions for the equations 2x2+2x-5=x2 are _________.

What are -1+(6)(1/2) and -1-(6)(1/2)?

500

The complex solutions to the equation x2-2x-+2=0 are _______.

What are 1+i and 1-i?

500

A point that satisfies both inequalities in the system: y>x2+2x and y>x2-1 is ______.

What is any point in the shaded region? (Multiple answers, teacher decides.)