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SOLVING ABSOLUTE VALUE AND RADICAL EQUATIONS USING RESTRICTIONS
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10.P.4 (A.1.P.8)

 

10.M.3

 

10.N.1 (A1.N.1)

 

10P.6 (A1.P.10)

 

 

10.N.3 (A1.N.3)

 

10.P.7 (A1.P.11)

 

 

 

10.P.8 (A1.P.12)

 

 

 

 

 

 

10.P.4

A1.P.8 

Demonstrate facility in symbolic manipulation of polynomial and rational expressions by rearranging and collecting terms, factoring (e.g., a2- b2 = (a+b)(a-b), x2 + 10x + 21 = (x + 3)(x + 7), 5x4 + 10x3 5x2 = 5x2(x2 + 2x 1), identifying and canceling common factors in rational expressions, and applying the properties of positive integer exponents.

 

 

 

10.P.6

A1.P.10 

Solve equations and inequalities including those involving absolute value of linear expressions (e.g., 1x 2l > 5) and apply to the solution of problems.

 

 

 

10.P.7

A1.P.11 

Solve everyday problems that can be modeled using linear, reciprocal, quadratic, or exponential functions.  Apply appropriate tabular, graphical, or symbolic methods to the solution.  Include compound interest, and direct and inverse variation problems.  Use technology when appropriate.

 

 

 

10.P.8

A1.P.12 

Solve everyday problems that can be modeled using systems of linear equations or inequalities.  Apply algebraic and graphical methods to the solution.  Use technology when appropriate.  Include mixture, rate, and work problems.

 

 

 

10.M.3 

Relate changes in the measurement of one attributes of an objest to changes in other attributes, e.g., how changing the radius or height of a cylinder affects its surface area or volume.

 

 

 

Vocabulary

 

Chapter 9

 

Set

 

Conjunction

 

Element

 

Intersection

 

Roster notation

 

Disjunction

 

Set builder

 

Absolute value

 

Intersection

 

Half-plane

 

Union

 

Boundary line

 

Empty set

 

System of inequalities

 

Null set

 

Corner points

 

 

Chapter 10

 

Rational expression

 

 

Least common multiple

 

Simplest form

Rational equations

 

 

Chapter 11

 

 

Square root

 

Radical expressions

 

Principal square root

 

Radicand

 

Radical sign

 

Approximating square roots

 

Irrational numbers

 

Rationalizing the denominator

 

Real numbers

 

conjugates