Enter Title

Factoring

100

Factor completely: 

x² - 10x - 24

(x-12)(x+2)

200

Factor completely: 

10a⁴b⁵-24ab¹⁰

2ab⁵(5a³-12b⁵)

300

Factor completely:

x² + 100

prime / not factorable

400

Factor completely:

2x²+11x-21

(2x-3)(x+7)

Quadratics

100

Find the x-intercept(s):

y = (x+4)² - 25

(1,0) and (-9,0)

*WRITE AS A COORDINATE POINT

200

Find the x-intercept(s) for:

y = x² - 4x

(0,0) and (4,0)

*WRITE AS A COORDINATE POINT

300

Find the axis of symmetry:

y = (x+4)² - 25

x = -4

*MUST write x =....

400

Find the coordinates of the vertex for:

y = x² - 2x + 4

(1,3)

Systems

100

You solve a system using a particular method and the solution results in a true statement.  How many solution(s) does the system of equation have?

Infinitely Many Solutions (IMS or R)

200

Two lines have the same slope yet different y-intercepts.  How many solution(s) does the system of equation have?

No Solution

300

Solve the system:

y = -1/2 x + 5

y = 3/2 x - 1

(3, 3.5) OR (3, 7/2)

400

A bakery sells cakes for $23 and a dozen cupcakes for $18.  In one day, the bakery sold 72 items and made a total of $1,446.  Write a system of equations to model this problem.

23x + 18y = 1446

x + y = 72

Random

100

Solve:

0 = x(4x-1)(x+2)

x = 0, 1/4, -2 

200

Factor completely:

36x² - 121

(6x+11)(6x-11)

300

*MULTIPLE CHOICE:  Determine the number of solutions to the equation:

4x² + 7x + 10 = 3

A) one solution

B) two solutions

C) two imaginary solutions

D) no solution

C) two imaginary

400

Find the solutions to:

4x² + 7x + 10 = 3

(-7 +- 3i*sqrt(7) ) / 8