General outline of Final Exam

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1) writing algebraic equations
2) operations with rational numbers
3) catergories of real numbers
4) writing variable expressions
5) graphing real numbers on the number line
6) writing algebraic expressions
7) solving percent problems (IS over OF = % over 100)
8) Simplifying algebraic expressions
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12) evaluating using order of operations

(keep in mind that -5^2 does not have the same meaning as (-5)^2. The former means the opposite of the square of 5, the latter means the square of the opposite of five. For all even powers this distinction is significant.

13) more evaluating using order of operations
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15) Solving equations containing combining like terms, distributive property, fractions, ect.
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20) solving an inequality. graphing its solution and writing its solution in interval notation.
21) solving a formula for a specified variable
22) Solving a mixture problem as in chapter 2.6 ex. 7 or 8
23) graphing linear equations including possibly vertical or horizontal lines

remember vertical lines have a undefined slope ( the change in x is zero), and have no y-intercept (because they are vertical). Vertical lines have equations that have only x's in them. No y variable.

horizontal lines have a zero slope ( no change in y as they travel from left to right), no x intercept (they don't cross the x-axis, they are parallel to it) and like the x axis have an equation that when simplified simply says y=__.

24) more graphing
25) finding slopes, watch out for your negatives, that you put the change in y over the change in x and distinguish between when a result is undefined and therefore vertical or zero and horizontal.
26) finding slope
27) putting an equation in slope- intercept form (equation must be written in y = mx + b form so basically solve the equation by moving stuff around until it basically says Y = something times x plus or minus something else. The something by x will be the slope and the somethingelse will be the y intercept. Solving the equation for y is not the same as saying find the value of y or find the y intercept. In the first case, solving the equation for y the result will still be an equation but with the y on one side and the x and someother stuff on the other. In the second and third case in order to find a particalar value of y. Whether it be a y-intercept of something else a specific value of x must be entered in the equation to complete the ordered pair.

28) Finding x and y intercepts

29) writing equations of lines given either the slope and the y-intercept, the slope and a random point that the line goes through, or two points that sit on the line. In the third case you will need to find the slope and then, having found it, just like the second case pick one of the points to use in conjuction with the slope to substitute into the formula for x,y and m after which you will be able to solve for b to figure out the equation.

30. more writing equations
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33. determining if the graphs or two given equations are parallel perpendicular or neither
34. solving systems of linear equations by either graphing or substitution
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I will probably add a few more problems but so far this is what I have. I definetely want to add one or two about completing a table of solutions for a given equation and graphing resulting ordered pairs. I also have in mind add one relating to geometry. something with perimeter or angles like 2.6 ex. 3

I might include a bonus either about related to Interest type problem or Distance = rate times time like 2.6 ex 5 and 6

Good luck with your studies for all your finals.

Kenneth Rosever