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pre-calculus calc review sheet

Pre-calculus Semester One Troublesome Topics

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Prerequisite Skills Solving for x with absolute values Get rid of the absolute value signs by setting everything within absolute value to the opposite keeping the original equation Solve per usual Simplifying with square roots in the denominator Multiply the top and bottom by the square root on the bottom The square root number is no longer a square root and becomes the ?normal? form Reduce square roots to simplest form Solve per usual Chapter One Skills Finding the formula for f^-1(x) Switch the x and y values and solve per usual Altering graphs If f(x) is a function? f(x)-1 graph is shifted down one unit f(x)+1 graph is shifted up one unit f(x-1) graph is shifted right one unit f(x+1) graph is shifted left one unit

Pre-calculus Semester One Troublesome Topics

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Prerequisite Skills Solving for x with absolute values Get rid of the absolute value signs by setting everything within absolute value to the opposite keeping the original equation Solve per usual Simplifying with square roots in the denominator Multiply the top and bottom by the square root on the bottom The square root number is no longer a square root and becomes the ?normal? form Reduce square roots to simplest form Solve per usual Chapter One Skills Finding the formula for f^-1(x) Switch the x and y values and solve per usual Altering graphs If f(x) is a function? f(x)-1 graph is shifted down one unit f(x)+1 graph is shifted up one unit f(x-1) graph is shifted right one unit f(x+1) graph is shifted left one unit

Review for Pre-Calc Midterm

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REVIEW SHEET FOR PRE-CALCULUS MIDTERM 1. If ? ?0,3A? and ? ?8,1B? ? , write an equation of the line that passes through these points. 2. For the following figure, what is the equation of the line? 2 1 1 2 3. Given the following lines, which are perpendicular to each other? 1 : 2 3 4L x y? ? 2 : 2 3 7L x y? ? 3 : 3 2 12L x y? ? 4 : 3 2 8L x y? ? ? 4. Solve the following inequality for x and express the solution set using interval notation. a. 2 5 3 7x x? ? ? b. ? ?1 414 6xx ?? ? c. 2 2 5 3x x? ? ? d. 6 5 3x? ? 5. Find an equation of a line that passes through the point ? ?2, 4? and is parallel to the line 5 2 4x y? ? .
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