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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 x^{2} + bx + c with equation solving
< Factor trinomials in the form ax^{2} + 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