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Equations and Inequalities

2.1

the rectangular coordinate systems and graphs

  • Plot ordered pairs in a Cartesian coordinate system.

  • Graph equations by plotting points.

  • Graph equations with a graphing utility.

  • Find x-intercepts and y-intercepts.

  • Use the distance formula.

  • Use the midpoint formula. 

2.2

linear equations in one variable

  • Solve equations in one variable algebraically. 

  • Solve a rational equation.

  • Find a linear equation.

  • Given the equations of two lines, determine when their graphs are parallel or perpendicular. 

  • Write the equation of a line parallel or perpendicular to a given line. 

1.3

models and applications

  • Set up a linear equation to solve a real-world application. 

  • Use a formula to solve a real-world application.

2.4

complex numbers

  • Add and subtract complex numbers.

  • Multiply and divide complex numbers.

  • Simplify powers of i.

2.5

quadratic equations

  • Solve quadratic equations by factoring.

  • Solve quadratic equations by the square root property.

  • Solve quadratic equations by completing the square.

  • Solve quadratic equations by using the quadratic formula.

2.6

other types of equations

  • Solve equations involving rational exponents.

  • Solve equations using factoring.

  • Solve radical equations.

  • Solve absolute value equations.

  • Solve other types of equations.

2.7

linear inequalities and absolute

  • Use interval notation.

  • Use properties of inequalities.

  • Solve inequalities in one variable algebraically.

  • Solve absolute value inequalities.