MATH 094: Introduction to Algebra

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Class Program
Mathematics
Credits 5 Lecture Hours 55
This course includes the study of basic arithmetic and algebraic concepts and operations including operations with integers, fractions, decimals, percents, order of operations, measurement, the metric system, algebraic expressions, formulas and simple linear equations. Credit cannot be earned in both MAP 117 and MATH 094. (Formerly MPC 090, Math 090)

Prerequisites

Placement into MATH 094/ MAP 117.
Quarters Offered
Fall,
Winter,
Spring,
Summer
Course Outcomes

Upon successful completion of the course, students should be able to demonstrate the following knowledge or skills:

  1. Use properties of prime and composite numbers to find least common multiples and reduce fractions to lowest terms.
  2. Apply appropriate methods add, subtract, multiply, divide, and find powers of integers, fractions, and decimals.
  3. Use order of operations to simplify arithmetic and algebraic expressions.
  4. Solve application problems using ratios and proportion.
  5. Solve application problems using percents.
  6. Use conversion factors when converting units of measure.
  7. Use formulas to compute length, area, and volume of geometric shapes.
  8. Compute mean, median and mode of a data set.
  9. Solve basic linear equations.
Institutional Outcomes
IO2 Quantitative Reasoning: Students will be able to reason mathematically.
Course Content Outline
  1. Add and subtract integers
  2. Multiply and/or divide integers
  3. Simplify with order of operations with integers and absolute value
  4. Simplify with order of operations with integers
  5. Evaluate algebraic expression for given values
  6. Add polynomials
  7. Distribute, then combine like terms
  8. Find the prime factorization of a number
  9. Reduce simple fraction
  10. Divide fractions
  11. Find LCM with variables
  12. Subtract fractions
  13. Use order of operations with fractions
  14. Solve a perimeter problem
  15. Subtract mixed numbers
  16. Calculate weighted average
  17. Find mean, median, mode
  18. Calculate a basic probability
  19. Compare unit prices
  20. Solve a proportion application
  21. Change fraction to percent
  22. Solve a percent problem
  23. Solve a percent application
  24. Calculate simple interest
  25. Convert units
  26. Convert with two unit measures
  27. Calculate a volume
  28. Use the Pythagorean theorem
  29. Multiply two monomials
  30. Do a scientific notation conversion
  31. Solve equation of the form ax+b=c (integer solution)
  32. Solve equation of the form ax+b=c (rational solution)
  33. Solve equation of the form ax+b=cx+d
  34. Solve equation of the form a(bx+c)=dx+e
  35. Solve equation of the form ax=bx+c (rational coefficients)
  36. Solve equation of the form ax+b=cx+d (decimal coefficients)
  37. Solve a proportion
  38. Solve equation of the form a(bx+c)+d=ex+f
  39. Solve equation of the form a=-bx+c
  40. Solve equation of the form ax+b=c (rational coefficient)
Department Guidelines

Course will be Pass/Fail.

Classes taught as a lecture format will use the following grade weights:

To earn a P the student must have a weighted average (75% Test, 25% other course work such as quizzes, homework, etc) above 75% and pass all three modules of the final exam. Passing a module is defined as a score of 65% or higher.

Classes taught as an emporium format will use the following grade weights:

Each unit will be weighted 75% tests, 20% homework, and 5% workbook. Students will earn a passing grade based on units passed and attendance policy as agreed upon by the department.