# algebra regents review Flashcards

Browse 500 sets of algebra regents review flashcards

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

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…

"a" in y = a•b^x

"b" in y = a•b^x

"b" in y = mx + b

"m" in y = mx + b

the variable used to represent the initial amount in an expone…

the variable used to represent the growth rate in an exponenti…

the variable used to represent the y-intercept in a linear fun…

the variable used to represent the slope of a line

"a" in y = a•b^x

the variable used to represent the initial amount in an expone…

"b" in y = a•b^x

the variable used to represent the growth rate in an exponenti…

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

term

variable

coefficient

constant term

A number, a variable, or a combination of a number and a varia…

A letter that represents a value that can change or vary

A number multiplied by a variable in an algebraic expression.

A value that does not change; an integer without a variable in…

term

A number, a variable, or a combination of a number and a varia…

variable

A letter that represents a value that can change or vary

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…

term

variable

coefficient

constant term

A number, a variable, or a combination of a number and a varia…

A letter that represents a value that can change or vary

A number multiplied by a variable in an algebraic expression.

A value that does not change; an integer without a variable in…

term

A number, a variable, or a combination of a number and a varia…

variable

A letter that represents a value that can change or vary

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

"a" in y = a•b^x

"b" in y = a•b^x

"b" in y = mx + b

"m" in y = mx + b

the variable used to represent the initial amount in an expone…

the variable used to represent the growth rate in an exponenti…

the variable used to represent the y-intercept in a linear fun…

the variable used to represent the slope of a line

"a" in y = a•b^x

the variable used to represent the initial amount in an expone…

"b" in y = a•b^x

the variable used to represent the growth rate in an exponenti…

absolute value

absolute value function

What does the graph of an Absolute Valu…

What does a Quadratic Graph Look like

|n| is the distance from 0 to a number n on a number line. Ex…

A function containing the |x|. It is shaped like the letter v

V or upside down V

PARABOLA - The U shaped graph with a point(vertex) at the bott…

absolute value

|n| is the distance from 0 to a number n on a number line. Ex…

absolute value function

A function containing the |x|. It is shaped like the letter v

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

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

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)

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

"a" in y = a•b^x

"b" in y = a•b^x

"b" in y = mx + b

"m" in y = mx + b

the variable used to represent the initial amount in an expone…

the variable used to represent the growth rate in an exponenti…

the variable used to represent the y-intercept in a linear fun…

the variable used to represent the slope of a line

"a" in y = a•b^x

the variable used to represent the initial amount in an expone…

"b" in y = a•b^x

the variable used to represent the growth rate in an exponenti…

Linear Regression

Exponential Regression

Mean

Median

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

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

Only a good measure of center for symmetric data

(middle) Better measure of center for skewed data or data with…

Linear Regression

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

Exponential Regression

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

Exponential growth

Factor

Factor completely

Factoring

a situation that increases by the same factor each time; the g…

an expression that is part of a product; (2x - 1) and (x - 1)…

to factor a polynomial until all factors are prime

to find the factors of a polynomial; (2x-1)(x-1) is the factor…

Exponential growth

a situation that increases by the same factor each time; the g…

Factor

an expression that is part of a product; (2x - 1) and (x - 1)…

Dependent variable

Difference

Distributive property

Domain of a function

the variable (output) that depends on the value of the indepen…

the answer to subtraction

a(b + c) = ab + ac

all the possible x-values of a function (The domain of this si…

Dependent variable

the variable (output) that depends on the value of the indepen…

Difference

the answer to subtraction