MULTIPLY AND DIVIDE RATIONAL EXPRESSIONS CALCULATOR
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MATH 0305

BEGINNING ALGEBRA

COURSE OBJECTIVES

Thestudent will be able to:

Chapter 1      < Evaluating and translating toalgebraic expressions

<         Applythe commutative, associative, identity and inverse properties to simplifyalgebraic expressions

<         Add,subtract, multiply, and divide fractions by computation and using a calculatorto display fractions in lowest terms

<         Identify real numbers and subsets of real numbers

<          Addition ofreal numbers with geometric applications

< Subtractionof real numbers

< Multiplicationand division of real numbers with geometric applications

< Simplifyexpressions containing exponents, parentheses, brackets, and absolute valuesusing the order of operations rule

< Evaluate algebraic expressions forgiven values of variables.

Chapter 2      <         Solve linear equations in one variable

<         Solve literal equations for a specified variable

<          Solveapplication problems involving linear equations in one variable

Chapter 3    <         Plot ordered pairs on a rectangular coordinate system

<          Find orderedpair solutions for a specified linear equation in two variables and verify using the TABLE feature of a graphingcalculator

< Graph a linearequation (including special cases of vertical and horizontal lines) on arectangular coordinate system and verify using a graphing calculator

<          Define arelation and a function, and distinguish between the two

<          Use the ZERO and INTERSECT methods with a graphing calculator to solve a linear equation in one variable.

<          Define a relation and a function, and distinguish between the two.

Chapter4       <          Determine x-and y- intercepts of a line

<          Solveabsolute value equations of the form | X |= p

Chapter5       <         Identifythe base and exponent of an exponential expression.

<         Simplifyexpressions involving integer exponents following the rules for exponentiationby computation and calculator confirmation

<          Identifycoefficients, terms, factors, constants, and the degree of a specifiedpolynomial

<         Classifypolynomials as monomials, binomials, or trinomials where appropriate

< Use P(x) notation towrite and evaluate polynomials

< Add,subtract, multiply, and divide polynomials

< Polynomialsin several variables

< Simplifyexpressions involving negative exponents following the rules for exponentiationby computation and calculator confirmation

< Write decimal numerals in scientificnotation

< Convert scientific notationto decimal notation

Chapter 6  <         Factor polynomials with a greatest common factor

<         Factor polynomials by grouping and solving equations

<          Factortrinomials in the form x2 + bx + c with equation solving

<         Factor trinomials in the form ax2 + bx + c, a ≠ 1, withequation solving

<          Factorperfect-square trinomials and differences of two squares with equation solving

< Sums or differences of two cubes

< A general strategy for factoringcompletely

<          Solveapplication problems involving quadratic equations.

Chapter7 <         Specify excluded values of the variable in a rational expression

<         Reduce rational expressions to lowest terms

< Multiply, divide, add, andsubtract rational expressions

< Simplifycomplex fractions

<         Solve equations containing rational expressions

<                Solve application problems involving rational expressions