![]() Determine if a finite mathematical system is an algebraic group and/or a commutative group and explain their conclusion perform group operations and modular arithmetic.Use the properties of the real number system to solve applications recognize if a series is arithmetic or geometric, determine the nth term, and find the sum of the first n numbers and use to solve applications and determine the golden ration of Fibonacci sequences in applications.Perform arithmetic operations in additive, multiplicative, ciphered, and positional-valued number systems and in other bases, and discuss early computational methods and tools.Use the properties and tools of sets to solve applications and determine if an infinite set is countable.Use inductive and deductive reasoning to solve several types of problems.Simplify and perform arithmetic operations on radical expressions and expressions with rational exponents.Ģ3. Simplify and perform arithmetic operations on rational expressions.Ģ2. Solve quadratic equations by factoring, including real-world applications.Ģ1. Factor trinomial of the form x^2+bx+c, perfect square trinomial, the difference of two squares, sum and differences of two cubes.Ģ0. Determine and factor greatest common and factor an expression by grouping.ġ9. Evaluate, add, subtract, multiply, and divide polynomials.ġ8. Evaluate exponential expressions, use rules of exponents with integer exponents.ġ7. Solve linear inequalities algebraically and systems of linear inequalities in two variables graphically, including real-world problem applications.ġ6. Solve systems of linear equations graphically, by substitutions, by elimination, including real-world applications.ġ5. Write an equation of a line in slope-intercept from, point-slope form, and standard from and solve related real-world applications.ġ4. Graph linear equations and inequalities, find the slope and intercepts of lines, and solve related real-world applications.ġ3. Evaluate formulas and solve formulas for a given variable.ġ2. Use the metric and American measurement systems to solve real-world applications, including unit conversions.ġ1. Apply ratios and proportions to real world applications.ġ0. Convert between standard notation and scientific notation.ĩ. Read pictographs, bar graphs, histograms, circle graphs, and line graphs.Ĩ. Find mean, median, and modes of data set.ħ. Use the concept of perimeter, area, and volume in real world applications.Ħ. Convert between fraction notation, decimal notation, and percent notation and solve applications.ĥ. Use the properties of real numbers (commutative, associative, and distributive) to manipulate and evaluate arithmetic expressions.Ĥ. Perform all arithmetic operations on whole numbers, integers, fractions and decimals (rational numbers), including order of operations, exponential notation, and comparing numbers.ģ. ![]() Demonstrate study skills and habits necessary to succeed in a college math class.Ģ. Students who successfully complete this course might be able to:ġ.
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