# algebra II regents review

##### SETS

Product

Sum

Difference

A is subtracted from B

Multiply

Add

Subtract

B - A

Product

Multiply

Sum

Add

Algebra 1, Algebra 2

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

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

Algebra 1, Algebra 2

4

1

3

4

4

1

Algebra 2

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

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)

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…

Algebra 1, Algebra 2

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

Algebra 1, Algebra 2

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…

Algebra 1

sequence

a₁

recursive formula

explicit formula

a set of numbers in a pattern

1st term

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

terms of a sequence are found by using the term's position

sequence

a set of numbers in a pattern

a₁

1st term

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

4

1

3

4

4

1

Algebra 1, Algebra 2

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

Algebra 1, Algebra

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)

SOFAS (sum/difference between 2 perfect…

even multiplicity

odd multiplicity

even DEGREE graph

(binomial factor: a+b or a-b)(SOFAS: Square the front; Opposit…

graph BOUNCES off the x-axis

graph CROSSES the x-axis

positive leading coefficient: both ends face up... ↖ ↗... negative l…

SOFAS (sum/difference between 2 perfect…

(binomial factor: a+b or a-b)(SOFAS: Square the front; Opposit…

even multiplicity

graph BOUNCES off the x-axis

Algebra 1, Algebra 2

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…

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

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

Algebra 2

Sequence

f(1) or a₁

recursive formulas

d

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

1st term

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

common difference... (the difference between a term and the previ…

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…

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

Multiply

Add

Subtract

B - A

Product

Sum

Difference

A is subtracted from B

Multiply

Product

Add

Sum

4

1

3

4

4

1