Algebra 2 Trig Regents jan 2013 pt II (6 to 10)

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Algebra Strand
Students will represent and analyze algebraically a wide variety of problem solving situations.
Variables and A.A.1 Translate a quantitative verbal phrase into an algebraic
Expressions expression
A.A.2 Write a verbal expression that matches a given
mathematical expression
Equations and A.A.3 Distinguish the difference between an algebraic
Inequalities expression and an algebraic equation
A.A.4 Translate verbal sentences into mathematical equations or
inequalities
A.A.5 Write algebraic equations or inequalities that represent a
situation
A.A.6 Analyze and solve verbal problems whose solution requires
solving a linear equation in one variable or linear inequality in
one variable
A.A.7 Analyze and solve verbal problems whose solution requires
solving systems of linear equations in two variables
A.A.8 Analyze and solve verbal problems that involve quadratic
equations
A.A.9 Analyze and solve verbal problems that involve exponential
growth and decay
A.A.10 Solve systems of two linear equations in two variables
algebraically (See A.G.7)
A.A.11 Solve a system of one linear and one quadratic equation
in two variables, where only factoring is required Note: The
quadratic equation should represent a parabola and the
solution(s) should be integers.
Students will perform algebraic procedures accurately.
Variables and A.A.12 Multiply and divide monomial expressions with a common
Expressions base, using the properties of exponents Note: Use integral
exponents only.
A.A.13 Add, subtract, and multiply monomials and polynomials
A.A.14 Divide a polynomial by a monomial or binomial, where the
quotient has no remainder
A.A.15 Find values of a variable for which an algebraic fraction is
undefined
A.A.16 Simplify fractions with polynomials in the numerator and
denominator by factoring both and renaming them to lowest
terms
A.A.17 Add or subtract fractional expressions with monomial or like
binomial denominators
A.A.18 Multiply and divide algebraic fractions and express the product
or quotient in simplest form
A.A.19 Identify and factor the difference of two perfect squares
A.A.20 Factor algebraic expressions completely, including trinomials
with a lead coefficient of one (after factoring a GCF)
Equations and A.A.21 Determine whether a given value is a solution to a given
Inequalities linear equation in one variable or linear inequality in one
variable
A.A.22 Solve all types of linear equations in one variable
A.A.23 Solve literal equations for a given variable
A.A.24 Solve linear inequalities in one variable
A.A.25 Solve equations involving fractional expressions Note:
Expressions which result in linear equations in one variable.
A.A.41 Determine the vertex and axis of symmetry of a parabola,
given its equation (See A.G.10 )
Trigonometric A.A.42 Find the sine, cosine, and tangent ratios of an angle of
Functions a right triangle, given the lengths of the sides
A.A.43 Determine the measure of an angle of a right triangle, given the
length of any two sides of the triangle
A.A.44 Find the measure of a side of a right triangle, given an acute
angle and the length of another side
A.A.45 Determine the measure of a third side of a right triangle using
the Pythagorean theorem, given the lengths of any two sides