Section 1.8: Inequalities.

  1. Specify what it means to solve an inequality.
  2. List the rules for manipulating inequalities.
  3. Solve linear inequalities.
  4. Solve absolute value inequalities.
  5. Perform a “check your answer” procedure after solving an inequality.
  6. Draw the solution to an inequality on the number line.

Section 1.9: The Coordinate Plane; Graphs of Equations; Circles.

  1. Draw and label the coordinate plane, including the horizontal/vertical axes and quadrants.
  2. Plot ordered pairs \((x, y)\) on the coordinate plane.
  3. Compute the distance between two points.
  4. Compute the midpoint of two points.
  5. Explain what it means for a point \((x, y)\) to satisfy an equation \(y = f(x) \).
  6. Sketch a graph of a function \(y = f(x)\) in the coordinate plane by generating a table of \(x\) and \(y = f(x)\) values.
  7. Define the \(x\)- and \(y\)-intercepts of a graph, and find them given a graph.
  8. State the equation for a circle in standard form.