# algebra regents review

##### SETS

Product

Sum

Difference

A is subtracted from B

Multiply

Add

Subtract

B - A

Product

Multiply

Sum

Add

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

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

Can a polynomial's exponent be a fracti…

Can there be a variable in the denomina…

one term: 12, 4x, x2, -5xy

two terms: 2x - 1, x2 - 4

No

No

monomial

binomial

Can a polynomial's exponent be a fracti…

No

Can there be a variable in the denomina…

No

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…

4

1

3

4

4

1

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

scientific notation

factorial

Absolute Value

Undefined

5!=4

**4**3**2**1 1!= 1 FYI: 0!=1|-5|= 5......|3|=3

6 dived by 7-x is undefined when x=7 since the denominator is…

scientific notation

factorial

5!=4

**4**3**2**1 1!= 1 FYI: 0!=1Commutative 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

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)

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…

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?

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

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…

"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…

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…

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…

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

natural numbers

whole numbers

integers

order of operations

1,2,3,4...

0,1,2,3,4...

-3,-2,-1,0,1,2,3...

PEMDAS

natural numbers

1,2,3,4...

whole numbers

0,1,2,3,4...

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…

"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…

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