Intermediate Algebra

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Midterm/Final Exam Info: 

 

Exam 1
October 15-16
7 AM - 5 PM

Exam 2
December 3- 4
7 AM - 5 PM

Intermediate Algebra
Course Number: 
Math 0110

Course Description

Math 0110 is a preparatory course for college algebra that carries no credit towards any baccalaureate degree.  However, the grade received in Math 0110 does count towards a student’s overall GPA.  The course covers operations with real numbers, graphs of functions, domain and range of functions, linear equations and inequalities, quadratic equations; operations with polynomials, rational expressions, exponents and radicals; equations of lines.  Emphasis is also put on problem-solving. 

Textbook and Course Materials:

  • MML AUTO ACCESS  -  Required
  • INTERMEDIATE ALGEBRA WORKBOOK – Custom Edition -  Required  – A manual containing an outline of class notes.
  • TEXTBOOK – Recommended - Intermediate Algebra by Martin-Gay, 7th edition.

 

 

Sections Covered

Section 1.2  Algebraic expressions and Sets of Numbers

Learning objectives:

  • Identify and evaluate algebraic expressions.
  • Identify natural numbers, whole numbers, integers, and rational and irrational numbers.
  • Find the absolute value of a number.
  • Find the opposite of a number.
  • Write phrases as algebraic expressions.

Section 1.3  Operations on Real Numbers and Order of Operations

Learning objectives:

  • Add and subtract real numbers.
  • Multiply and divide real numbers.
  • Evaluate expressions containing exponents.
  • Find roots of numbers.
  • Use the order of operations.
  • Evaluate algebraic expressions.

Section 1.4  Properties of Real Numbers and Algebraic Expressions

Learning objectives:

  • Use operation and order symbols to write mathematical sentences.
  • Identify identity numbers and inverses.
  • Identify and use the commutative, associative, and distributive properties.
  • Write algebraic expressions.
  • Simplify algebraic expressions.

Section 2.1  Linear Equations in One Variable

Learning objectives:

  • Solve linear equations using properties of equality.
  • Solve linear equations that can be simplifies by combining like terms.
  • Solve linear equations containing fractions or decimals.
  • Recognize identities and equations with no solutions.

Section 2.2  An Introduction to Problem Solving

Learning objectives:

  • Write algebraic expressions that can be simplified.
  • Apply the steps for problems solving.

Section 2.3  Formulas and Problem Solving

Learning objectives:

  • Solve a formula for a specified variable.
  • Use formulas to solve problems.

Section 2.4  Linear Inequalities and Problem Solving

Learning objectives:

  • Use interval notation.
  • Solve linear inequalities using the addition property of inequality.
  • Solve linear inequalities using the multiplication and the addition properties of inequality.
  • Solve problems that can be modeled by linear inequalities.

Section 2.5  Compound Inequalities

Learning objectives:

  • Find the intersections of two sets.
  • Solve compound inequalities containing and.
  • Find the union of two sets.
  • Solve compound inequalities containing or.

Section 2.6 Compound Inequalities

      Learning Objectives

  • Solve absolute value equations.

Section 2.7 Absolute Value Inequalities

Learning objectives

  • Solve absolute value inequalities of the form |x|<a.
  • Solve absolute value inequalities of the form |x|>a.

Section 3.1  Graphing Equations

Learning objectives:

  • Plot ordered pairs.
  • Determine whether an ordered pair of numbers is a solution of an equation in two variables.
  • Graph linear equations.
  • Graph nonlinear equations.

Section 3.2  Introduction to Functions

Learning objectives:

  • Define relation, domain, and range.
  • Identify functions.
  • Use the vertical line test for functions.
  • Use function notation.

Section 3.3  Graphing Linear Functions

Learning objectives:

  • Graph linear functions.
  • Graph linear functions by using intercepts.
  • Graph vertical and horizontal lines.

Section 3.4  The Slope of a Line

Learning objectives:

  • Find the slope of a line given two points on the line.
  • Find the slope of a line given the equation of the line.
  • Interpret the slope-intercept form in an application.
  • Find the slopes of horizontal and vertical lines.
  • Compare the slopes of parallel and perpendicular lines.

Section 3.5  Equations of Lines

Learning objectives:

  • Graph a line using its slope and  intercept.
  • Use the slope-intercept form to write the equation of a line.
  • Use the point-slope form to write the equations of a line.
  • Write equations of vertical and horizontal lines.
  • Find equations of parallel and perpendicular lines.

Section 4.1  Solving Systems of Linear Equations in Two Variables

Learning objectives:

  • Determine whether an ordered pair is a solution of a system of two linear equations.
  • Solve a system by graphing.
  • Solve a system by substitution.
  • Solve a system by elimination.

Section 4.3  Systems of Linear Equations and Problem Solving

Learning objectives:

  • Solve problems that can be modeled by a system of two linear equations.
  • Solve problems with cost and revenue functions.
  • Solve problems that can be modeled by a system of three linear equations.

Section 5.1  Exponents

Learning objectives:

  • Use the product rule for exponents.
  • Evaluate expressions raised to the 0 power.
  • Use the quotient rule for exponents.
  • Evaluate expressions raised to the negative nth power.
  • Convert between scientific notation and standard notation.

Section 5.2  More work with exponents

Learning objectives:

  • Use the power rules for exponents.
  • Use exponent rules and definitions to simplify exponential expressions.
  • Compute using scientific notation.

Section 5.3  Polynomials and Polynomial Functions

Learning objectives:

  • Identify term, constant, polynomial, monomial, binomial, trinomial, and the degree of a term and of a polynomial.
  • Define polynomial functions.
  • Review combining like terms.
  • Add polynomials.
  • Subtract polynomials.
  • Recognize the graph of a polynomial function from the degree of the polynomial.

Section 5.4  Multiplying Polynomials

Learning objectives:

  • Multiply two polynomials.
  • Multiply binomials.
  • Square binomials.
  • Multiply the sum and difference of two terms.
  • Multiply three or more polynomials.
  • Evaluate polynomial functions.

Section 5.5  The Greatest Common Factoring and Factoring by Grouping

Learning objectives:

  • Identify the GCF.
  • Factor out the GCF of a polynomial’s terms.
  • Factor polynomials by grouping.

Section 5.6  Factoring Trinomials

Learning objectives:

  • Factor trinomials of the form .
  • Factor trinomials of the form .
  • Factor by substitution.

Section 5.7  Factoring by Special Products

Learning objectives:

  • Factor a perfect square trinomial.
  • Factor the difference of two squares.
  • Factor the sum or difference of two cubes.

Section 5.8  Solving Equations by Factoring

Learning objectives:

  • Solve polynomial equations by factoring.
  • Solve problems that can be modeled by polynomial equations.
  • Find the x-intercept of a polynomial function.

Section 6.1  Rational Functions and Multiplying and Dividing Rational Expressions

Learning objectives:

  • Find the domain of a rational expression.
  • Simplify rational expressions.
  • Multiply rational expressions.
  • Divide rational expressions.
  • Use rational functions in applications.

Section 6.2  Adding and subtracting Rational Expressions

Learning objectives:

  • Add or subtract rational expressions with a common denominator.
  • Identify the least common denominator (LCD) of two or more rational expressions.
  • Add or subtract rational expressions with unlike denominators.

Section 6.3 Simplifying Complex Fractions

Learning objectives:

  • Simplify complex fractions by simplifying the numerator and denominator and then dividing.
  • Simplify complex fractions by multiplying by a common denominator.
  • Simplify expressions with negative exponents.

Section 6.5  Solving Equations containing Rational Expressions

Learning objectives:

  • Solve equations containing rational expressions.