Algebra Review

Factoring & Solving

100

Factor the following: x² - 5x + 6

(x-2)(x-3)

200

Find the zeroes of the following: x² +7x + 12 = 0

x= -3 and x= -4

300

Find the roots of the following: 6x² +17x +5 = 0

x= 1/2 and x= -7

400

Factor the following: 4x² - 81

(2x+9)(2x-9)

500

Stand up and sing the quadratic formula song. We have to be able to hear you in order to get the points, so be loud and proud!

You did it!

Radical Operations

100

Simplify: sqrt(24)

2sqrt6

200

Simplify: 4sqrt90

12sqrt10

300

Simplify the following: sqrt12 + sqrt27 - sqrt3

4sqrt3

400

Simplify the following: (3sqrt8)(-2sqrt3)

-12sqrt6

500

Simplify: sqrt5/sqrt6

sqrt30/6

Systems of Equations

100

Solve the following system:

y = 2x+2

y= x - 1

(-3,-4)

200

Solve the following system:

2x + 5y = 19

y = 3x - 3

(2,3)

300

Solve the following system:

2x + 3y = 15

x - 3y = 3

(6, 1)

400

Solve the following system:

-5x - 2y = -4

5x + 2y = -2

No Solution

500

Solve the following system:

x - 3y = -6

y = 1/3x + 2

Infinite Solutions

Graphs

100

What is the name of the shape made when by the graph of a quadratic equation?

Parabola

200

Where do the solutions of a quadratic function go on a graph?

the x-axis (x-intercepts)

300

What point on a graph is considered the "starting point"?

Y-intercept

400

In the equation f(x)= a|x-h|+k, how will the h value move the graph?

Horizontal Shift (right and left)

500

In the equation f(x)= a(x-h)²+k, what will happen to the graph if 0 < a < 1?

Vertical shrink/compression (wider)