# algebra II regents review Flashcards

Browse 500 sets of algebra II regents review flashcards

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…

Factoring the sum of 2 perfect cubes

Factoring the difference of 2 perfect c…

Average Rate of Change (slope)

exponential growth

(a+b)(a^2-ab+b^2)

(a-b)(a^2+ab+b^2)

y2-y1/x2-x1

A=P(1+r)^t

Factoring the sum of 2 perfect cubes

(a+b)(a^2-ab+b^2)

Factoring the difference of 2 perfect c…

(a-b)(a^2+ab+b^2)

average rate of change formula

Factoring GCF

Factoring the Difference of Two Squares

Factoring Trinomials when a=1

y2-y1/x2-x1

Determine the greatest common factor of the given terms. The g…

a^2 -b^2 = (a+b)(a-b)

1) Find 2 numbers that multiply and give you C... 2) The same two…

average rate of change formula

y2-y1/x2-x1

Factoring GCF

Determine the greatest common factor of the given terms. The g…

Equation of a Circle

Vertex Form

Pythagorean Identity

How many roots there are determines the…

(x-h)²+(y-k)²=r², (h, k) is the center, r is the radius.

y=a(x-h)^2+k where (h, k) is the vertex of the parabola

cos^2x+sin^2x=1

Degree of polynomial

Equation of a Circle

(x-h)²+(y-k)²=r², (h, k) is the center, r is the radius.

Vertex Form

y=a(x-h)^2+k where (h, k) is the vertex of the parabola

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…

Change root into fraction?

Triple system with x,y,z

What do you do with the calculator when…

Compound continuously

Power over root ... Ex: ∛a^2= a ⅔

Substitute one of the variables into another equation then sub…

Put calculator into radian mode not degree

A = Pe^rt... A=growth/decay ... P=original number ... R=rate ... T=time ... E…

Change root into fraction?

Power over root ... Ex: ∛a^2= a ⅔

Triple system with x,y,z

Substitute one of the variables into another equation then sub…

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

What do you do when solving absolute va…

To simplify, multiply or divide algebra…

To add or subtract algebraic fractions.…

To simplify complex algebraic fractions…

1) isolate the absolute value... 2) create two equations ... *set w…

1) factor... 2) cross cancel

1) common denominator... 2) add or subtract numerators

1) find common denominator ... 2) multiply all terms by common de…

What do you do when solving absolute va…

1) isolate the absolute value... 2) create two equations ... *set w…

To simplify, multiply or divide algebra…

1) factor... 2) cross cancel

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

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 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

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 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 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

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…

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…

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

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