SYMKC AP Calc BC (Up to Pre-Cal) (copy)

Flashcards to help study for SYMKC Quizzes. I'd recommend studying a few flash cards a day! (Please Contact me if any terms/definitions are wrong at [e-mail]!)

13²

169

14²

196

15²

225

16²

256

17²

289

18²

324

19²

361

20²

400

21²

441

22²

484

23²

529

24²

576

25²

625

2³

8

3³

27

4³

64

5³

125

6³

216

7³

343

8³

512

9³

729

10³

1,000

11³

1331

12³

1728

2⁴

16

3⁴

81

4⁴

256

5⁴

625

2⁵

32

3⁵

243

4⁵

1024

5⁵

3125

2⁶

64

2⁷

128

2⁸

256

2⁹

512

2¹⁰

1024

2¹¹

2048

2¹²

4096is the result of raising 2 to the 12th power.

0!

1

1!

1

2!

2

3!

6

4!

24

5!

120

6!

720

7!

5040

(Linear Equations)

Parent Function

y=x

(Linear Equations)

Standard Form

ax+by=c

(Linear Equations)

Slope-Intercept Form

y=mx+b

(Linear Equations)
Point-Slope Form

y-y₁=m(x-x₁)

(Linear Equations)
Slope

(y₂-y₁)/(x₂-x₁) = ∆y/∆x = rise/run

YOU MUST INCLUDE ALL 3 DEFINITIONS FOR FULL CREDIT ON THE QUIZ

(Quadratic Equations)

Parent Function

y=x²

(Quadratic Equations)

General Form

y=ax²+bx+c

(Quadratic Equations)

Standard Form

y=a(x-h)²+k

(Quadratic Equations)

Intercept Form

y=a(x-p)(x-q)

(Quadratic Equations)

Vertex

(h,k)

(Quadratic Equations)

Axis of Symmetry

x= -b / 2a

(Quadratic Equations)

Quadratic Formula

There’s a helpful song to remember it

What does “<” mean?

Less than

What does “≤” mean?

Less than OR equal to

What does “>” mean?

Greater than

What does “≥” mean?

Greater than OR equal to

What are the three ways to solve a system of equations?

Graphing

Substitution

Elimination (or Matrices)

I am not sure if he will take points off for not putting Matrices, but memorize just in case :)

(Order of Operations)

1.?

2.?

3.?

4.?

Think of the Acronym!

1. Parentheses ()

2. Exponents

3. Multiplication/Division

4. Addition/Subtraction

(Absolute Value)

|a| =

a

|-a| =

a

(Function Definitions)
Domain

The set of all possible input values (usually x)

(Function Definitions)

Range

The set of all possible output values (usually y)

(Function Definitions)

Function

The relation for which each element of the domain corresponds to exactly one element for the range

(Function Definitions)

Direct Variation

A relationship between 2 variables in which one is a constant multiple of the other (y=k·x)

(Function Definitions)

Indirect Variation

A relationship between 2 variables in which the product is a constant (y=k/x)

(Function Definitions)

Roots

A number at which a polynomial has the value zero; where the graph crosses the x-axis

Distance Formula (physics)

Think of the word “dirt”

d = r·t

Pythagorean Theorem

a²+b²=c²

(Properties (use a,b,c) )

Commutative Addition

a+b=b+a

(Properties (use a,b,c) )

Commutative Multiplication

a·b=b·a

(Properties (use a,b,c) )

Associative Addition

a+(b+c)= (a+b)+c

(Properties (use a,b,c) )

Associative Multiplication

a·(b·c)= (a·b)·c

(Properties (use a,b,c) )

Distributive Addition

a·(b+c)=ab+ac

(Measures of Central Tendency)

Mean

The arithmetic mean or average

(Measures of Central Tendency)

Median

The middle number when a set of numbers are put in order

(Measures of Central Tendency)

Mode

The number that occurs the most often in a list

(Measures of Central Tendency)

Range

The difference between the largest and smallest numbers

Distance Formula (between two points)

Midpoint Formula

If y=mx+b

The Parallel line slope would be…

m₁=m₂

If y=mx+b

The Perpendicular line slope would be…

m₁ = -1 / m₂

Discriminant Formula

b²-4ac

(Nature of Roots)

>0

2 real roots

(Nature of Roots)

<0

2 imaginary roots

(Nature of Roots)

=0

1 real root

sin(θ) =

b/c

cos(θ) =

a/c

tan(θ)

b/a

What does “a” label?

Altitude or height

What does “b” label?

Base (midpoint)

What does “c” label?

Angle bisector

(Similarity)
Ratio of Sides a:b

Ratio of Perimeters __

Ratio of Areas __

Ratio of Volumes __

a:b

a²:b²

a³:b³

Triangle Congruence:

1.?

2.?

3.?

4.?

5.?

(doesn’t have to be in order)

SSS

AAS

SAS
ASA

HL

A** is not one of them.