By by E. Donice McCune by Sandra Luna McCune
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Extra info for CliffsTestPrepPraxis II: Mathematics Content Knowledge Test
Each point in the plane is associated with an ordered pair (x, y) of real numbers x and y, called its coordinates. In an ordered pair, the first element is called the abscissa and the second element, the ordinate. Two ordered pairs are equal if and only if they have exactly the same coordinates. The plane in which the coordinate system lies is divided into four sections called quadrants. They are named with the Roman numerals I, II, III, and IV. The numbering process begins in the upper-right section and proceeds counterclockwise.
When an ordered pair makes both equations in the system true, the ordered pair satisfies the system. Four methods commonly used to solve a system of linear equations are substitution, elimination, transformation of the augmented matrix (see the chapter titled Matrix Algebra for this method), and using the Trace feature of the graphing calculator. Steps for Solving a System of Two Linear Equations by Substitution To solve a system of linear equations by using substitution, use the following procedure: 1.
2. If necessary, multiply one or both of the equations by a nonzero constant or constants to make the coefficients of one of the variables sum to zero. 3. Add the equations. 4. Check the solution in the original equations. Steps for Solving a System of Two Linear Equations by Using the Trace Feature To solve a system of linear equations by using the Trace feature of the graphing calculator, use the following procedure: 1. 2. 3. 4. Write both equations in the form: y = mx + b. Enter the two functions into the graphing editor.
CliffsTestPrepPraxis II: Mathematics Content Knowledge Test by by E. Donice McCune by Sandra Luna McCune