ALGEBRA II REVIEW

Factoring Trinomials

100

Factor x²+8x+12

(x+6)(x+2)

200

Factor m²-11m+18

(m-9)(m-2)

300

Factor 5n²+26n+5

(5n+1)(n+5)

400

Factor 3x²-10x+7

(3x-7)(x-1)

500

Factor 2x²-12x+10

2(x-1)(x-5)

Factor Completely

100

9x²-1

(3x-1)(3x+1)

200

x²+16x+64

(x+8)²

300

x¹⁰-z⁸

(x⁵-z⁴)(x⁵+ z⁴)

400

Factor 2m³+18m²+36m

2m(m+3)(m+6)

500

Factor 3t³+5t²-12t

t(3t-4)(t+3)

Graphing Quadratics

100

Find the axis of symmetry for y = 3x² + 12x + 2

What is x = -2

200

Find the vertex for y= -3x² + 4

What is (0, 4)

300

Find the roots of 2x² + 3x - 5 = 0

What is x = -5/2 or x = 1

400

Find the axis of symmetry for y - 2x² - 4x = 1

x= -1

500

Find the vertex for y - 8x = 16 - x²

What is (4, 32)

Miscelaneous

100

Factor by GCF 14n²+10n

2n(7n+5)

200

Using the quadratic formula, find the roots of x² -6x = -9

What is x = 3

300

simplify √(72)

What is ±6√(2)

400

When you count by ones fron many integer, you are counting consecutive integers. Using variables, three consecutive integers are n, n + 1, and n + 2. The sum of three consecutive integers is 48. What are the integers?

The integers are 15, 16, and 17

500

Factor by GCF 10a³b⁴-6a²b⁶

2a²b⁴(5a-3b²)

Simultaneous Equations

100

The solution to the system of equations:

r + s = -6
r - s = -10

What is (-8, 2)?

200

The solution to the system

y = 3x - 1
7x + 2y = 37

What is (3, 8)

300

The solution to the system

2a - 4b = 12
-8a + 16b = -48

What is infinitely many solutions?

400

The dimensions of a rectangle whose perimeter is 78 inches, when the length of the rectangle is twice its width

What is 26x13?

500

The solution to the system

t + u = 12
t = (1/3)u

What is (3, 9)?