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