Summary

Exam 3 will include these review and current items:

Includes some questions on past material, and sections:

• 2.4
• 2.5
• 3.1
• 3.2

You may bring one page (1 side) of hand written notes. You may bring a calculator.

Note: Don't be scared by the number of pages in the exam (8). Graphs take a lot of space!

Details

• Identify kinds of numbers (eg. irrational, rational, integer, natural)
• The exam shows an example of converting an equation from standard form (e.g. x + y = 10) to slope intercept form (e.g. y = -x + 10). For each step of the process, you are to write which principle (e.g. Equality, Commutative etc.) is used. The example below shows the format: 4(x + 2) + 3y = 13 4x + 8 + 3y = 13 Distributive was used to get to this step from the prior step. 4x + 3y = 5 Equality (subtract 8 from each side) 3y = 5 - 4x Equality (subtract 4x from each side) 3y = -4x + 5 Commutative (reversed 5 and -4x) y = -4/3 x + 5/3 Equality (divide both sides by 3)
• Graph an equation and indicate its slope and y-intercept.
• Solve 3 absolute value equations. All have answers.
• Given some equations, write which ones have the null set as an answer. Equations we have dealt with which have the null set (no answer) as an answer are:
  |x + 10| = -1 because absolute values cannot be less than zero.
  x² < 0 because a number times itself is alwasy positive.
• Solve 3 inequalities and graph them on number lines.
• Plot a number points (e.g. (4,3)) on an x-y coordinate graph.
• Identify the coordinates (e.g. (4,3)) of a set of points shown on an x-y coordinate graph.
• Solve an equation for y (i.e. convert from standard form to slope intercept form). For example: 2x - 3y = 6 -3y = 6 - 2x (subtract 2x from both sides) -3y = -2x + 6 (reverse order to slope intercept form) y = 2/3 x - 2 (divide both sides by -3)
• Fill in a table of x/y values for a simple equation and then graph the equation.
• Graph several simple cases (e.g. x=2).
• Given several lines on a graph, compute the slope and y-intercepts of the lines.
• Compute the slope of a line given 2 points on the line.
• Given the slope of a line know that the slope of a parallel line is the same and that of a perpendicular line is the negative inverse.

  Examples

  Equation	Slope	Slope of parallel line>	Slope of perpendicular line
  y = 4x + 2	4	4	-1/4
  y = 4/5 x - 22	4/5	4/5	-5/4
  y = -5x - 2	-5	-5	1/5
  y = -2/7 x + 7/2	-2/7	-2/7	7/2

• Draw a freehand graph from some values in a table.
• Given intercepts, graph lines.
• Given some lines on a graph, identify them by criteria (e.g. slope is positive).

There are 3 BONUS questions worth 5 points in addition to the 64 points on which your grade is based.