Algebra 2

Polynomials

Logarithms

1-10

Vocab+Formulas

Matrices

100

Multiply with FOIL: (x+3)(x+8)

x²+11x+24

100

Write in logarithmic form: 8²=64

log₈64=2

100

What subsets of real numbers do each of these numbers belong to:

a. 478,903,923

b. -89

c. -√28

a. Natural, whole, integer, rational, real

b. Integer, rational, real

c. Irrational, real

100

What is the quadratic equation.

-b±√b²-4ac
____________
2a

100

[14 7 x [1 4

12 9] 10 7]

[84 105

102 111]

200

Subtract: (x⁴+3x²-4x+18,793)-(2x⁴+43x³-2x²+7x+18,792)

-x⁴-43x³+5x²-11x+1

200

Write in exponential form: log₂1024=10

2¹⁰=1024

200

(4.2×10^-7)(0.0028) / 2400 (1.6×10^-10)

3.0625 x10^-3

200

What is the formula for finding the nth term in a geometric sequence?

a_n=a₁r^n-1

200

What is the inverse of this matrix?

[4 -1

-2 3]

[0.3 0.1

0.2 0.4]

300

Factor the polynomial: 4x⁴-2500

4(x²+25)(x+5)(x-5)

300

Simplify: log₃81²

300

what is the probability of rolling a an odd number on a six-sided number cube.

1/2

300

What is the formula for finding the nth term in an arithmetic sequence

a_n=a₁+(n-1)d

300

Solve for X, Y, and Z:

-2x+2y+z=14

3x-2y+z=-5

-x+y-2z=-8

x= -3

y= 1

z=-2

400

Solve: 3x³-5x²-2x=0

x= 2, -1/3, 0

400

Evaluate: log₃(27y) when y=243

400

[5 2 x [10 3

4 2] 7 12]

[64 39

54 36]

400

What is the standard form of the form of an equation for a circle?

(x-h)²+(y-k)²=r²

400

[4 7 - ([-8 3 + [5 -1

3 8] -1 2] 9 6])

[7 5

-5 12]

500

Divide: 286x³+16x²+28x+12 ÷ 2x+3

143x²-206.5x+323.75 r:-959.25

500

Solve for m: 5^m=8(5)^2m

m≈-1.29

500

A large one-topping Domino’s pizza costs $7.99, but inflation has caused to special to increase by 25%. How much does large one-topping Domino’s pizza cost now? (Round to the nearest cent).

$9.99

500

What is the formula for z-score?

z-score= x-mean

_______________

standard deviation

500

Solve for matrix R:

[5 4 x [R]= [3 4

6 5] 0 2]

R= [15 12

-18 -14]