MTH005 Ch 2 Special Cases
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
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| Conditional equation graphing solution set | If the variable has no exponent, the graphs of the left & right sides of the equation intersect at one point (x, y); x is the estimated solution of the equation.
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| Contradiction equation solutin set | Empty set
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| Identity equation solution set | All Real numbers
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| Conditional equation definition | True or false depending on the replacement for the variable
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| Contradiction equation definition | False for all replacements of the variable
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| Identity equation definition | True for all replacements of the variable
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| Conditional equation graph | Graphs of the left & right sides of the equation intersect at one point
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| Contradiction eqution graph | Graphs of the left & right sides of the equation appear to be parallel lines (parallel lines never intersect; therefore there is no solution)
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| Identity equation graph | Graphs of the left & right sides of the equation coincide (lines that coincide share all points in common; therefore all real numbers are solutions)
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| Algebraic solution of a Conditional equation | Variable equals a number, if the variable has no exponent
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| Algebraic solution a Contradiction equation | The variable is eliminated when solving, & the resulting equation is false (number = different number)
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| Algebraic solution of an Identity equation | The variable is eliminated when solving, & the resulting equation is true (number = same number).
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| TI-83+ or 84+ table for a Conditional eqation | If the variable has no exponent, there is only one value of x where Y1 and Y2 (values of the expressions) are equal (the same)
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| TI-83+ or 84+ table for a Contradiction equation | Y1 and Y2 (values of the expressions) differ by the same amount for all values of the variable (x)
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| TI-83+ or 84+ table for an Identity equation | Y1 and Y2 (values of the expressions) are the same for all values of the variable (x)
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| Meaning of x and y (x, y) | x is the value of the variable when the equation is solved. y is the value of the expressions when the value of x is substituted for the variable and the resulting numeric expressions (left & right sides of the equation)are evaluated
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Review the information in the table. When you are ready to quiz yourself you can hide individual columns or the entire table. Then you can click on the empty cells to reveal the answer. Try to recall what will be displayed before clicking the empty cell.
To hide a column, click on the column name.
To hide the entire table, click on the "Hide All" button.
You may also shuffle the rows of the table by clicking on the "Shuffle" button.
Or sort by any of the columns using the down arrow next to any column heading.
If you know all the data on any row, you can temporarily remove it by tapping the trash can to the right of the row.
To hide a column, click on the column name.
To hide the entire table, click on the "Hide All" button.
You may also shuffle the rows of the table by clicking on the "Shuffle" button.
Or sort by any of the columns using the down arrow next to any column heading.
If you know all the data on any row, you can temporarily remove it by tapping the trash can to the right of the row.
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Created by:
powens
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