# MAT 093 - Integrated Arithmetic and Basic Algebra
**4 Credit Version:** Arithmetic of real numbers. Percent, ratio and proportion. Basic geometric concepts. Language of algebra and solving equations. Evaluating formulas and algebraic expressions. Perimeter, volume, and area applications. Graphing, solving and applications of linear equations and solving inequalities.
**2 Credit Version:** Arithmetic of real numbers. Percent, ratio and proportion. Basic geometric concepts. Language of algebra and solving equations. Perimeter, volume, and area applications.
This course is designed to provide the skills necessary for students to successfully complete MAT 096, MAT 113, MAT 115, MAT 117, MAT 119.
Credits: 4 or 2
**Hours** 4 or 2 Class Hours
**Course Profile** Learning Outcomes of the Course:
Upon successful completion of this course the student will be able to:
Perform skills in four categories: Arithmetic, Algebra/Basic Geometry, Graphing and Problem Solving/Estimation.
Note: Throughout the course the students are expected to solve applied problems related to the topics of the course.
**2 Credit Version:**
1. Understand signed numbers and absolute value, and be able to add, subtract, multiply and divide integers.
2. Evaluate numerical expression using exponents.
3. Perform operations using decimals.
4. Understand square roots and evaluate expressions using order of operations correctly.
5. Obtain factors and the prime factorization of integers.
6. Recognize, use and understand the commutative, associative, and distributive laws of addition and multiplication.
7. Write fractions in equivalent forms, and add, subtract, multiply and divide arithmetic fractions.
8. Convert among decimals, fractions and percents, and order numbers in various forms.
9. Solve fraction and decimal application problems.
10. Solve ratio, general percent, and percent increase/decrease applications.
11. Solve sales tax, discount and simple interest applications.
12. Solve basic linear equations.
13. Define square root and evaluate numerical expressions with square roots.
14. Perform arithmetic operations with square roots.
15. Interpret graphs and charts with appropriate scales.
16. Calculate the mean, median and mode of a data set.
17. Relate the sides and angles of similar and congruent figures and solve applications involving similar figures.
18. Understand and use the Pythagorean Theorem.
19. Find the perimeter and area of triangles, quadrilaterals, circles and compound shapes.
20. Find the circumference and area of a circle.
21. Perform unit conversions.
22. Classify angles.
23. Find the volume of cylinders, spheres and rectangular prisms.
**4 Credit Version:**
1. Understand signed numbers and absolute value, and be able to add, subtract, multiply and divide integers.
2. Evaluate numberical expression using exponents.
3. Perform operations using decimals.
4. Understand square roots and evaluate expressions using order of operations correctly.
5. Obtain factors and the prime factorization of integers.
6. Recognize, use and understand the commutative, associative, and distributive laws of addition and multiplication.
7. Write fractions in equivalent forms, and add, subtract, multiply and divide arithmetic fractions.
8. Convert among decimals, fractions and percents, and order numbers in various forms.
9. Solve fraction and decimal applicaiton problems.
10. Solve ratio, general percent, and percent increase/decrease applications.
11. Solve sales tax, discount and simple interest applications.
12. Solve linear equations.
13. Solve equations with rational numbers, rational equations with monomial denominators that reduce to linear equations, and recognize no solution and identity equations.
14. Formulate and solve problems involving linear equations and linear functions.
15. Formulate and solve mixture problems.
16. Solve linear literal equations.
17. Solve and graph solutions of linear inequalities.
18. Graph points on the rectangular coordinate system and graph linear equations in two variables.
19. Graph lines using the intercepts.
20. Find the slope of a line using a graph of a line and find the slope of a line given two points.
21. Find equations of lines given a slope and a y-intercept and graph the equations using the slope and y-intercept.
22. Find equations of lines given a point and a slope and find equations of lines given two points.
23. Identify parallel and perpendicular lines from their equations.
24. Find equations of parallel and perpendicular lines.
25. Graph linear inequalities in two variables.
26. Define and evaluate functions using function notation.
27. Define square root and evaluate numerical expressions with square roots.
28. Perform arithmetic operations with square roots.
29. Evaluate variable (including rational variable) expressions given values for the variables.
30. Define and simplify expressions containing negative exponents.
31. Convert between scientific notation and standard notation and use it to solve problems using scientific notation.
32. Interpret graphs and charts with appropriate scales.
33. Calculate the mean, median and mode of a data set.
34. Relate the sides and angles of similar and congruent figures and solve applications involving similar figures.
35. Understand and use the Pythgorean and Theorem.
36. Find the perimeter and area of triangles, quadrilaterals, circles and compound shapes.
37. Find the circumference and area of a circle.
38. Perform unit conversions.
39. Classify angles.
40. Find the volume of cylinders, spheres and rectangular prisms.
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