Download DIFF ADVANCED ALGEBRA OBJECTIVES CHAPTER ONE

DIFF ADVANCED ALGEBRA OBJECTIVES
CHAPTER ONE
1.3.1 Translate verbal expressions into algebraic expressions and solve simple equations.
1.4.1 Evaluate and solve absolute value expressions/equations.
1.5.1 Solve inequalities.
<(1.6)> Solving compound and absolute value inequalities.
CHAPTER TWO
2.1.1 Analyze and graph relations.
2.1.2 Find functional values
2.3.1 Find and use the slope of a line.
2.4.1 Write linear equations in slope-intercept & point-slope form.
Page 87 Identify correlation given a set of data.
2.6.1 Graph and interpret step, constant, and identity functions.
2.6.2 Graph and interpret absolute value functions.
2.6.3 Graph and interpret piecewise linear functions.
<(2.7)> Graphing inequalities.
CHAPTER THREE
<(3.1.1)> Solve systems of equations graphically.
3.2.1 Solve systems of linear equations algebraically.
3.3.1 Solve systems of (inequalities) graphically.
3.4.1 Solve real-world problems using linear programming.
3.5.1 Solve systems of linear equations in three variables.
CHAPTER FOUR
4.1.1 Organize data in matrices and solve equations using matrices.
4.2.1 Add and subtract matrices.
4.2.2 Multiply a matrix by a scalar.
4.3.1 Multiply matrices and use properties of matrices.
CHAPTER FIVE
5.1.1 Multiply and divide monomials.
5.1.2 Use properties of exponents to simplify expressions.
5.1.3 Use expressions written in scientific notation.
5.2.1 Add and subtract polynomials.
5.2.2 Multiply polynomials.
5.3.1 Divide polynomials using long division.
5.3.2 Divide polynomials using synthetic division.
5.4.1 Factor polynomials using difference of squares.
5.4.2 Factor polynomials using sum or difference of cubes.
5.4.3 Factor trinomials (general and perfect squares).
5.4.4 Factor by grouping.
5.5.1 Simplify radicals
5.6.1 Simplify radical expressions.
5.6.2 Add and subtract radical expressions.
5.6.3 Multiply/divide radical expressions.
5.6.4 Use a conjugate to rationalize the denominator.
5.7.1 Write expressions with rational exponents in radical forms and vice versa.
5.8.1 Solve equations containing radicals.
5.8.2 Solve inequalities containing radicals.
5.9.1 Add and subtract complex numbers.
5.9.2 Multiply and divide complex numbers.
CHAPTER SIX
6.1.1 Graph quadratic functions (vertex, y-intercept, axis of symmetry).
6.1.2 Determine the maximum and minimum values.
6.2.1 Solve quadratic equations by graphing.
6.3.1 Solve quadratic functions by factoring.
6.3.2 Write quadratic equation with given roots.
6.4.1 Solve quadratic equations using the Square Root Property.
6.4.2 Solve equations by completing the square.
6.5.1 Solve quadratic equations using the quadratic formula.
6.5.2 Use the discriminant to determine the nature of the solutions.
6.5.3 Find x-intercept of a quadratic function.
6.6.1 Analyze the graph of a quadratic function (vertex form).
6.6.2 Write a quadratic function in vertex form.
6.7.1 Graph quadratic inequalities in two variables.
6.7.2 Solve quadratic inequalities in one variable.