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 xintercepts and yintercepts.

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 realworld application.

Use a formula to solve a realworld 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.