MATH 0305

BEGINNING ALGEBRA

COURSE OBJECTIVES

 

The student will be able to:

Textbook Reference

·        Identify real numbers and subsets of real numbers.

(1.1)

·        Add, subtract, multiply, and divide fractions and use a calculator to display fractions in lowest terms.

(1.2, 1.3, 1.4)

·        Identify the base and exponent of an exponential expression.     

(1.5)

·        Simplify arithmetic expressions using order of operations.

(1.5)

·        Translate an English phrase into an algebraic expression.

(1.6)

·        Evaluate algebraic expressions.

(1.7)

·        Simplify algebraic expressions.

(1.7)

·        Solve linear equations in one variable.

(2.1, 2.2, 2.3)

·        Solve literal equations for a specified variable.

(2.4)

·        Solve application problems involving linear equations in one variable.

(2.5, 3.3, 3.4, 3.5)

·        Solve equations in one variable containing absolute value.

(8.2)

·        Plot ordered pairs on a rectangular coordinate system.

(4.1)

·        Find ordered pair solutions for a specified linear equation in two variables and verify using the TABLE feature of a graphing calculator.

(4.2)

·        Graph a linear equation on a rectangular coordinate system and verify using a graphing calculator.

(4.2)

·        Graph vertical and horizontal lines.

(4.2)

·        Determine x-and-y intercepts of a line given an equation, a graph, and a table.

(4.3)

·        Use the ZERO and INTERSECT features of graphing calculator to solve a linear equation in one variable.

(handout)

·        Determine whether a set of points or graph represents a function.

(4.7)

·        Given a graph of a function or linear equation in function form evaluate the function for a specified value.

(4.7)

·        Use function notation to evaluate polynomials.

(4.7)

·        Simplify expressions involving integer exponents.

(5.1, 5.4)

·        Convert decimal numbers to scientific notation.

(5.1)

·        Identify coefficients, terms, factors, constants, and the degree of a specified polynomial.

(5.2)

·        Classify polynomials as monomials, binomials, or trinomials.

(5.2)

·        Add, subtract, and multiply polynomials.

(5.3, 5.4, 5.5)

·        Simplify polynomials in several variables.

(5.3, 5.4, 5.5)

·        Divide a polynomial by a monomial, binomial, or trinomial.

(5.6)

·        Factor polynomials using the greatest common factor.

(6.1)

·        Factor polynomials using grouping.

(6.1)

·        Factor trinomials in the form .

(6.2)

·        Factor trinomials in the form .

(6.3)

·        Factor perfect-square trinomials and the difference of two squares.

(6.4)

·        Factor the sum and difference of two cubes.

(6.4)

·        Use a general strategy to factor polynomials completely.

(6.5)

·        Solve quadratic equations by factoring.

(6.6)

·        Solve application problems involving quadratic equations.

(6.6)

·        Solve application problems involving the Pythagorean Theorem.

(6.6)

·        Specify excluded values of the variable in a rational expression.

(7.1)

·        Reduce rational expressions to lowest terms.

(7.1)

·        Multiply, divide, add, and subtract rational expressions.

(7.2, 7.3, 7.4)

·        Simplify complex fractions.

(7.5)

·        Solve equations containing rational expressions.

(7.6, 3.1)

·        Solve application problems involving rational expressions.

(7.7, 3.1)