Factor and Solve Quadratics
System of Equations and Inequalities
Transformations of Figures
Standard vs Vertex Form
Square Roots
100

Factor the expression completely (hint: think GCF): 

2x^2-18

2x(x-9)

100

Name the solution(s) of this system of equations.

(0,4)

100

Name the four types of transformations.

Translation, Reflection, Rotation, Dilation

100

Determine the vertex of the graph.

(-3,4)

100

Simplify the square root:

sqrt(80)

4sqrt(5)

200

Factor completely:

3x^2+4x+1

(3x+1)(x+1)

200

Name the solution(s) for the system of equations: 

(3,0) and (7,8)

200

What is the image point of (−6,5) after a translation right 2 units and down 4 units?

(-4,1)

200

What is the vertex of the quadratic equation? 

y=(x-2)^2-5

(2,-5)

200

Determine the transformations from the parent function of 

 y=sqrt(x-6)+4 

Right 6 and up 4

300

Solve Using the Quadratic Formula (keep your answer as a simplified radical):

2x^2+3x-4=0

(-3+-sqrt(41))/4

300

Find the solution(s) of the system of equations (write your answer as an ordered pair). 

y=-2x and y=-6x+36

(9,-18)

300

Reflect the point (3,1) over the y-axis.

(-3,1)

300

Write the following equation in standard form (hint y=ax^2+bx+c):

y=(x-5)^2-32

y=x^2-10x-7

300

Solve: 

sqrt(x+51)-18=-11

x=-2

400

Find the new constant c that would complete the square (hint: use the formula):

x^2-16x=13

64

400

Name a coordinate point that exists in the system of inequalities:

y<-2x^2+4x+6 and y>=2x+2

400

Rotate (1,-3) 90 degrees counterclockwise.

(3,1)

400

Find the vertex of the quadratic equation (hint: use the formula to find x): 

y=x^2+2x+19

(-1,18)

400

Solve: 

sqrt(x+12)=x+6

x=-3

500

Solve Using the Quadratic Formula (keep your answer as a simplified radical):

2x^2-10x+5=-4

(5+-sqrt(7))/2

500

Name the solution(s) of the system of equations (write your answers as an ordered pair): 

y=x^2-4x-44 and y=x+6

(10,16) and (-5,1)

500

Rotate the point (6,-3) 90 degrees clockwise then translate the point up 7.

(-3,1)

500

Convert the following quadratic equation to Vertex Form: 

y=9x^2+18x+16

y=9(x+1)^2+7

500

Solve the quadratic equation by taking square roots (leave your answer as a simplified radical): 

2+x^2=-9

x=+-isqrt(11)