PreCal Bepoardy

Logarithmic and Exponential Equations

100

Is the following formula for an exponential or logarithmic equation?

F(x)=b^x​​​​

Exponential.

200

Is the following formula for an exponential or logarithmic equation?

Log_bx=y

Logarithmic. 

300

Convert Log_b64=3 into its exponential form.

B³=64

400

Log_bx=Log_by if _____.

X=Y

500

If K>0, what is the exponential growth equation?

A=A₀e^kt

Radians, Degrees, and Trigonometry

100

Write tanx in terms of sin and cos.

SinX/CosX

200

What is the value of X?

1

300

TanX²+1=______

sec²x

400

What is the value of X?

√3

500

Sin(A+B)=______

sinAcosB+cosAsinB

Systems of Equations

100

The following is a __x__ system of equations.

4x+7y-z=15

x+7z=5

8x-3y+2z=19

3x3

200

What are the three methods of solving a system of equations?

Graphing

Substitution

Elimination

300

A ____  ____  ____ is defined as the sum of the partial fractions equaling the original rational expression.

Partial Fraction Decomposition

400

A system of equations can be measured as a 2x2, 3x3, etc. based on the number of ______ and ______ present.

variables 

equations

500

Are two coinciding lines a dependent or independent system?

Dependent

Matrices

100

What is the row echelon form of a 2x2 matrix? 

{10}

{01}

200

What equation is needed to complete row echelon form? 

{1 0 0}

{0 1 0} 

{0 4 1} 

-4R₂+R₃

300

What is the value of X? 

{2 8 | 12}

{3 4 | 10}

x=2

400

According to the properties of the Gauss Jordan method, what are the values of x, y, and z in the following matrix?

[1 0 0 | 5]

[0 1 0 | 3]

[0 0 1 | 7]

x=5, y=3, y=7

500

What are the three row operations?

1. Interchange two rows.

2. Multiply a row by another row.

3. Add k times a row to another row.

Conic Sections

100

Identify the conic section. 

Parabola

200

(x-h)²+(y-k)²=r² is the standard form equation of which conic section?

circle

300

A ________ is the set of all points on a plane such that the distance from two set points, called foci, is constant.

Hyperbola

400

The foci of a vertically oriented hyperbola can be denoted as what?

(h,k+c) and (h,k-c)

500

The distance formula is denoted as what?

d=√(x_2-x_1)²+(y_2-y_1)²