# algebra II regents review Flashcards

Browse 500 sets of algebra II regents review flashcards

Sequence

f(1) or a₁

previous term

recursive formulas

an ordered list of numbers... Formally defined as a function tha…

1st term

terms of a sequence are found by performing operations on prev…

Sequence

an ordered list of numbers... Formally defined as a function tha…

f(1) or a₁

1st term

Raising a negative number to a power

Factoring by grouping

Canceling out opposites

Factoring out a -1

When raising a negative number to a power always put the negat…

If both terms are opposite signs they can be crossed out and r…

To factor out a -1, remove the negative and change the signs o…

Raising a negative number to a power

When raising a negative number to a power always put the negat…

Factoring by grouping

Finding terms in arithmetic sequence

Polynomial

To factor difference of perfect squares…

Factoring y=ax^2+bx+c the x-box way

an = a1 + (n - 1)d

•An algebraic expression with one or more terms... •The prefix PO…

•The numerical coefficient has to be a perfect square... •And the…

1)Find a*c (product of first and last term)... 2)Find 2 new facto…

Finding terms in arithmetic sequence

an = a1 + (n - 1)d

Polynomial

•An algebraic expression with one or more terms... •The prefix PO…

Polynomials

Multiplying Polynomials

Steps for Double Distributive

Box Method

An expression with more than 1 term.

Double Distributive, Box Method, FOIL

Rewrite the problem with one parentheses broken up, and the 2n…

Similar to Punnett Squares. Used to multiply polynomials.

Polynomials

An expression with more than 1 term.

Multiplying Polynomials

Double Distributive, Box Method, FOIL

Sequence

f(1) or a₁

previous term

recursive formulas

an ordered list of numbers... Formally defined as a function tha…

1st term

terms of a sequence are found by performing operations on prev…

Sequence

an ordered list of numbers... Formally defined as a function tha…

f(1) or a₁

1st term

rational

continuous graph

maximum turning point

absolute value

number that can be expressed as an integer or fraction; a numb…

allows the x-values to be ANY points in the interval, includin…

a relative maximum value in a polynomial function; the y value…

value or distance away from zero

rational

number that can be expressed as an integer or fraction; a numb…

continuous graph

allows the x-values to be ANY points in the interval, includin…

Coefficient

Common difference

Common ratio

Commutative property

the "big" number in front of the variable

the constant difference between consecutive terms in a sequence

the ratio of a term in a geometric sequence with the previous…

a+b=b+a

Coefficient

the "big" number in front of the variable

Common difference

the constant difference between consecutive terms in a sequence

Raising a negative number to a power

Factoring ax²+bx+c

Factoring by grouping

Canceling out opposites

When raising a negative number to a power always put the negat…

If both terms are opposite signs they can be crossed out and r…

Raising a negative number to a power

When raising a negative number to a power always put the negat…

Factoring ax²+bx+c

Variable

Coefficient

Equation

Expression

a letter or symbol representing a varying quantity

a number which multiplies a variable

a mathematical statement containing an equal sign

one or a group of terms and maybe include variables, constants…

Variable

a letter or symbol representing a varying quantity

Coefficient

a number which multiplies a variable

Rational Number

Irrational Number

Expression

Equation

- Any number that can be represented as a fraction... - Terminati…

- Any number that cannot be represented as a fraction... - Non Te…

A mathematical phrase that contains operations, numbers, and/o…

A mathematical sentence that contains an equals sign.

Rational Number

- Any number that can be represented as a fraction... - Terminati…

Irrational Number

- Any number that cannot be represented as a fraction... - Non Te…

degree

leading coefficient

constant

Quadratic

polynomial's highest exponent

number in front of the term with the highest exponent

number by itself (no variables)

Degree 2 polynomial

degree

polynomial's highest exponent

leading coefficient

number in front of the term with the highest exponent

degree

leading coefficient

constant

Quadratic

polynomial's highest exponent

number in front of the term with the highest exponent

number by itself (no variables)

Degree 2 polynomial

degree

polynomial's highest exponent

leading coefficient

number in front of the term with the highest exponent

Irrational Numbers

Rational Number

Integers

Whole numbers

*decimals do not end or repeat... *square roots that are not perf…

*Decimals end or repeat... *fractions that do not have a denomina…

positive or negative, and 0

{0,1,2,3,4,...}

Irrational Numbers

*decimals do not end or repeat... *square roots that are not perf…

Rational Number

*Decimals end or repeat... *fractions that do not have a denomina…

Sequence

f(1) or a₁

previous term

recursive formulas

an ordered list of numbers... Formally defined as a function tha…

1st term

terms of a sequence are found by performing operations on prev…

Sequence

an ordered list of numbers... Formally defined as a function tha…

f(1) or a₁

1st term

Raising a negative number to a power

Factoring ax²+bx+c

Factoring by grouping

Canceling out opposites

When raising a negative number to a power always put the negat…

If both terms are opposite signs they can be crossed out and r…

Raising a negative number to a power

When raising a negative number to a power always put the negat…

Factoring ax²+bx+c

discriminant: b^2-4ac

i

how to find roots given the sum and pro…

for ax^2+bx+c=0.... sum of roots formula a…

-When discriminant is a positive perfect square: roots are rea…

i^1 = I... i^2 = -1... i^3 = -i... i^4 = 1

x^2-sumx+product=0

Sum: -b/a... Product: c/a

discriminant: b^2-4ac

-When discriminant is a positive perfect square: roots are rea…

i

i^1 = I... i^2 = -1... i^3 = -i... i^4 = 1

Linear Regression

Exponential Regression

Standard Deviation

Shape: Symmetric

Stat- Edit- L1 and L2 ... Stat- Calc- LinReg (#4)

Stat- Edit- L1 and L2... Stat- Calc- ExpReg (#0)

small- data close together... large- data spread out

The data on the graph is evenly spaced out.

Linear Regression

Stat- Edit- L1 and L2 ... Stat- Calc- LinReg (#4)

Exponential Regression

Stat- Edit- L1 and L2... Stat- Calc- ExpReg (#0)

Finding terms in arithmetic sequence

Polynomial

To factor difference of perfect squares…

Factoring y=ax^2+bx+c the x-box way

an = a1 + (n - 1)d

•An algebraic expression with one or more terms... •The prefix PO…

•The numerical coefficient has to be a perfect square... •And the…

1)Find a*c (product of first and last term)... 2)Find 2 new facto…

Finding terms in arithmetic sequence

an = a1 + (n - 1)d

Polynomial

•An algebraic expression with one or more terms... •The prefix PO…

Finding terms in arithmetic sequence

Polynomial

To factor difference of perfect squares…

Factoring y=ax^2+bx+c the x-box way

an = a1 + (n - 1)d

•An algebraic expression with one or more terms... •The prefix PO…

•The numerical coefficient has to be a perfect square... •And the…

1)Find a*c (product of first and last term)... 2)Find 2 new facto…

Finding terms in arithmetic sequence

an = a1 + (n - 1)d

Polynomial

•An algebraic expression with one or more terms... •The prefix PO…

Linear Regression

Exponential Regression

Standard Deviation

Shape: Symmetric

Stat- Edit- L1 and L2 ... Stat- Calc- LinReg (#4)

Stat- Edit- L1 and L2... Stat- Calc- ExpReg (#0)

small- data close together... large- data spread out

The data on the graph is evenly spaced out.

Linear Regression

Stat- Edit- L1 and L2 ... Stat- Calc- LinReg (#4)

Exponential Regression

Stat- Edit- L1 and L2... Stat- Calc- ExpReg (#0)

rational number

irrational number

commutative property

associative property

a number that can be written as a fraction

a number that cannot be written as a fraction

numbers can be added or multiplied in any way and the answer s…

the way in which numbers are grouped does not change their sum…

rational number

a number that can be written as a fraction

irrational number

a number that cannot be written as a fraction