abeka 10th grade algebra 2 test 12

determine the matrix: [1, 5] [3, -1]

(1×-1)-(3×5)=-16

solve for θ: 2 cosθ=1

(A s t C) [0°, 360]. cosθ= 1/2. θ=cos⁻¹ 1/2 θ=60°, 300°

x⁶+y⁶

(x²+y²)(x⁴-x²y²+y⁴)

solve and place on a number line: x²+7x-18

1. (x+9) (x-2) 2. x=-9 x=2 3. closed dot on -9 shade left closed dot on +2 shade right

determine the next term of the geometric sequence: 25, 14, 3, -8...

1. 14-25= -11 2. -11-8= -19

evaluate ₁₈P₁₅

1. 18!/(18!-15!)=18!/3! 2. 18×17×16×15×14×13×12×11×10×9×8×7×6×5×4×3!/3! 3. 18×17×16×15×14×13×12×11×10×9×8×7×6×5×4= 1.067...

calculate the z-score: z=44 µ=40 σ=3

1. 44-40/3 2. 4/3=1.3

5 ∑3i i=1

1. 5 3∑i i=1 2. 3[5(5+1)/2] 3. 3[5(6)/2] 4. 3(15)= 45

find the 6th term of an arithmetic sequence in which the first term is 7 and the common difference is 6.

1. a=a₁+(n-1)d 2. a₆=7+(6-1)6=37

σ=14 √n= 22 x=10 µ=6

1. σ=σ/√n 2. 14/√22=2.984 3. x-µ/σ 4. 10-6/ 2.984= 1.340

convert 200° to radians.

200°×π/180°= 10π/9

frequency chart

34.4%

determine the matrix: [3, 4] [4, 2]

3×2

frequency chart

6.7%

what is the empirical rule?

68-95-99.7

frequency chart

69.1%

standard form of complex numbers

8-4i

what is the argument? : 2=log₃ 9

9

what is the compounded continuously intrest formula?

A=Pe^rt

A S T C

C (cosine)

Find the domain of this function ƒ(x)=x-12 over x-2

all real numbers except 2

information that must be measured

continuous

type of sequence which gradually approaches a specific number

convergent

cosecant of θ is?

csc= 1/sinθ= hyp/opp

what are events that influence each others probability of occurring?

dependent

which probability distribution can be visualized by a histogram, discrete or continuous?

discrete

a sum whose terms form a geometric sequence

geometric series

determine if the graph will have vertical translation, horizontal translation, vertical translation, vertical stretch, or vertical compression: ƒ(x)= (x-1)²

horizontal translation

what is the common change of base? : log₃ 22

log 22 over log 3

condense each logarithmic expression into a single logarithm: 2 log x+ 3 log y

log²+y³

formula for combination

nCr

would the number of pencils be used in a geometric probability?

no, not used in a geometric probability

when a sampling distribution has a larger deviation then normal deviation is it a central limit theorem or not?

not central limit theorem

solve and make a number line: |x−4|<5

open dot on -1 and +9 then shade between

solve and make a number line: x²<4= x<±2

open dot on -2 shaded left open dot on +2 shaded on right

solve and make a number line: x+4, x+1, x-3

open dot on -4 shaded left open dot on -1 and +3 shade in between

There are 50 baseball cards, 20 football cards, and 55 card slots.

p=10x+8y

what is not a measure of center?

range

2 characteristics

relative, frequency table

x²-10x+16=0( using U substitution)

u²-10u+16=0 (u-2) (u-8)=0 u=x (x²)=2 (x²)=8 x=±√2 and x=±2√2

determine if the graph will have vertical translation, horizontal translation, vertical reflection, vertical stretch, or vertical compression: -x²

vertical reflection

determine if the graph will have vertical translation, horizontal translation, vertical translation, vertical stretch, or vertical compression: 5x²

vertical stretch

determine if the graph will have vertical translation, horizontal translation, vertical translation, vertical stretch, or vertical compression: ƒ(x)= x²+8

vertical translation

Eq 1↔Eq 2: 2x+3y-7z=5 (Eq 1) x+y-2z=11 (Eq 2) 4x-10y+15z=7 (Eq 3)

x+y-2z=11 (Eq 2) 2x+3y-7z=5 (Eq 1) 4x-10y+15z=7 (Eq 3)

Crammers rule: (x,y) give formula

x=|X| |A| y=|Y| |A|

inversely related y=3, x=4, find y when x=1

y=12

Rewrite the exponential equation 6²=36 as a logarithmic equation.

y=log∨b x 2=log₆ 36

is a brown item or eraser mutually exclusive or not?

yes, mutually exclusive

use the standard deviation of sampling distribution using: σx=2.3 sample size= 3

σx=2.3/√3= 1.33

use the standard deviation of sampling distribution using: σx=2.3 sample size= 5

σx=2.3/√5=1.0