Algebra 2 Final

Factoring Polynomials

100

What is the quadratic formula?

Ms. Sara knows

200

x² - x - 20 = 0

x = -4, 5

300

x² + 16x + 64 = 0

x = -8, -8

400

15x² - 84x - 36 = 0 

x = -2/5, 6

500

-8x² + 46x = 30

x = 5, 3/4

Log/LN/Exponents

100

16^x = 1/64

-3/2

200

log₄ 256

4

300

log₄ n + log₄ (n-4) = log₄ 5

5

400

64³ⁿ = 8^{2n -3}

-3/4

500

ln 2x = 6

201.7144

Operations with Poly/Rational

100

(6y³ + 13y² - 10y - 24) / (y +2)

6y² + y - 12

200

(x⁴ + 5x³ + 3x² - 8x + 3) / (x + 3)

x³ + 2x² - 3x + 1

300

y² + 3y - 40/ 25 - y²

y+8/y+5

400

3y/2x³ + 5z/8xy²

12y³ + 5x²z/8x³y²

500

x-1/x² - x - 6  -   4/5x+10

x + 7 / 5(x+2)(x-3)

Trigonometry

100

What does SOHCAHTOA stand for?

Sin = opp/hyp

Cos = adj/hyp

Tan = opp/adj

200

What are the opposite of sine, cosine and tangent?

Sin = csc

Cos = sec

Tan = cot

300

Find all 6 trig 

(Ms. Sara will draw the picture)

Ms. Sara will tell the answer

400

How do you know when to use Law of Sines and what is it? 

Two sides and an angle opposite or any two angles and a side

Proportion of side and angle

500

How do you know when you use law of Cosine and what is it?

Two sides and their included angle or all three sides

a² = b² + c² - 2bcCos A

Matrices

100

2 [ 4  5  6 ]

[8  10  12]

200

[ 2  6 ]   +    [ 4   8 ]

[ 5  -2]         [ -2  4 ]

[ 6  14 ]

[ 3   2 ]

300

[ 2  4  3 ]

[ 4  2  9 ]   -     [ 3  7 2 ]

Not possible

400

    [ 2  6 ]

3  [ 3  1 ]

    [ -6  2 ]

[ 6  18 ]

[ 9   3 ]

[ -18   6 ]

500

3 [ 2   5   10 ] + -2[ 4  -2  6 ]

[-2   19   18]