# algebra II regents review

##### SETS

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

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

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

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

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

95% confidence interval

addition rule for probability

Amp of Trig Function:... y=a sin b (Ѳ+c)+d…

basic exponential growth formula

mean +- MOE... mean +- 2(SD)

P(A or B) = P(A) + P(B) - P(A and B)

a

y=ab^x

95% confidence interval

mean +- MOE... mean +- 2(SD)

addition rule for probability

P(A or B) = P(A) + P(B) - P(A and B)

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

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…

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

Division Algorithm for Polynomials

Steps for Long Division of Polynomials

Synthetic Division of Polynomials

The Real Number System

Dividend/Divisor = Quotient + Remainder/Divisor

1. Set up the problem, where x-a is the divisor... 2. Divide the…

1. Analyze if the divisor is in the form of (x-a), where x has…

Division Algorithm for Polynomials

Dividend/Divisor = Quotient + Remainder/Divisor

Steps for Long Division of Polynomials

1. Set up the problem, where x-a is the divisor... 2. Divide the…

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

Raising a negative number to a power

Canceling out opposites

Factoring out a -1

Equations with fractions

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…

To solve equations with fraction, find a common denominator.... D…

Raising a negative number to a power

When raising a negative number to a power always put the negat…

Canceling out opposites

If both terms are opposite signs they can be crossed out and r…

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

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

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

Raising a negative number to a power

Canceling out opposites

Factoring out a -1

Equations with fractions

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…

To solve equations with fraction, find a common denominator.... D…

Raising a negative number to a power

When raising a negative number to a power always put the negat…

Canceling out opposites

If both terms are opposite signs they can be crossed out and r…

Raising a negative number to a power

Canceling out opposites

Factoring out a -1

Equations with fractions

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…

To solve equations with fraction, find a common denominator.... D…

Raising a negative number to a power

When raising a negative number to a power always put the negat…

Canceling out opposites

If both terms are opposite signs they can be crossed out and r…