# algebra regents review

##### SETS

Linear Functions | Algebra Study Guide

The Slope Formula | Algebra Study Guide

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)

Solving Equations | Algebra Study Guide

Quadratic formula (Find the Roots)

Completing the square

Discriminant (describe the roots)

Sum and product of roots

the quadratic formula is x equals negative b plus or minus the…

if the discriminant is 0, the roots are real, rational and equ…

The sum of the roots is negative b divided by a.... The product o…

Quadratic formula (Find the Roots)

the quadratic formula is x equals negative b plus or minus the…

Completing the square

Adding Integers | Pre-Algebra Study Guide

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

Quadratic Functions and Equations | Algebra Study Guide

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

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

"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…

"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…

"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…

Mean

Median

Mode

Range

A measure of the center in a set of numerical data, computed b…

Middle Number

Measure of central tendency that uses most frequently occurrin…

Distance between highest and lowest scores in a set of data.

Mean

A measure of the center in a set of numerical data, computed b…

Median

Middle Number

FOIL

Outlier

Axis of Symmetry

In interval notation, what does the fol…

First Outter Inner Last ... Used when multiplying binomials

Values that are far away from the rest of the data (in statist…

-b/2a ... Used for quadratic equations when in the form ax(square…

This means that 1 and 5 are not included in the set discussed.…

FOIL

First Outter Inner Last ... Used when multiplying binomials

Outlier

Values that are far away from the rest of the data (in statist…

Mean

Median

Mode

Range

A measure of the center in a set of numerical data, computed b…

Middle Number

Measure of central tendency that uses most frequently occurrin…

Distance between highest and lowest scores in a set of data.

Mean

A measure of the center in a set of numerical data, computed b…

Median

Middle Number

Commutative Property of Addition

Commutative Property of Multiplication

Associative Property of Addition

Associative Property of Multiplication

2 + 3 = 3 + 2: Is what type of property?

2 • ( 3 ) = 3 • ( 2 ): is what type of property?

2 + ( 3 + 4 ) = ( 2 + 3 ) + 4: is what type of property?

2 • ( 3 • 4 ) = ( 2 • 3 ) • 4: is what type of property?

Commutative Property of Addition

2 + 3 = 3 + 2: Is what type of property?

Commutative Property of Multiplication

2 • ( 3 ) = 3 • ( 2 ): is what type of property?

Commutative Property of Addition

Commutative Property of Multiplication

Associative Property of Addition

Associative Property of Multiplication

2 + 3 = 3 + 2: Is what type of property?

2 • ( 3 ) = 3 • ( 2 ): is what type of property?

2 + ( 3 + 4 ) = ( 2 + 3 ) + 4: is what type of property?

2 • ( 3 • 4 ) = ( 2 • 3 ) • 4: is what type of property?

Commutative Property of Addition

2 + 3 = 3 + 2: Is what type of property?

Commutative Property of Multiplication

2 • ( 3 ) = 3 • ( 2 ): is what type of property?

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

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

Commutative Property

Associative property

Distributive Property

Addition/Subtraction Property of equali…

Changing the order

Changing groups by using parentheses

Multiplying the outside term by each of the inside terms

If you add/subtract the same number to both sides of the equat…

Commutative Property

Changing the order

Associative property

Changing groups by using parentheses

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

recursive formulas

explicit 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…

terms of a sequence are found by using the term's index (posit…

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…

Integers

Rational Numbers

Irrational Numbers

Union

positive or negative whole numbers

All positive and negative integers, fractions and decimal numb…

Decimals that don't stop or repeat

All elements in the sets

Integers

positive or negative whole numbers

Rational Numbers

All positive and negative integers, fractions and decimal numb…

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