IA_QR_I - Are the equations independent or dependent? 7 3 =...

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INTERMEDIATE ALGEBRA QUICK REVIEW I NAME: ________________________________ 1. Let 1 7 ) ( ! = x x f . Find the following. a) = ! ) 4 ( f b) = + ) 1 ( x f 2. Using the point-slope form to find an equation of the line that satisfies the given conditions. Write the equation in slope-intercept form and in standard form . a) Through ) 1 , 2 ( ! ! ; slope 4 3 b) Through ) 4 , 6 ( ! ; slope 3 2 ! 3. The width of swimming pool in an apartment complex is 20 feet more than the length. Find the width and the length of the store lot if the perimeter of the lot is 200 feet. 4. Solve the following linear inequality, graph and give the solution sets (including the interval notation ): 8 6 2 4 ! " " ! " y 5. Solve the following system of linear equations by elimination and give the solution set. Is the system consistent or inconsistent? Are the equations independent or dependent? 5 2 3 = ! y x 5 6 ! = ! ! y x 6. Solve the following system of linear equations and give the solution set.
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Unformatted text preview: Are the equations independent or dependent? 7 3 = + ! y x 21 9 3 ! = ! y x 7. Graph the compound inequality. Label the points, lines and inequalities involved. Be sure to shade the compound inequality region. a) 7 2 ! " y x or 2 < y b) 9 3 > + y x and 5 ! x 8. Use factoring to simplify the following: 1 4 5 ) 1 )( 7 ( ) 1 5 )( 1 ( 2 3 2 2 ! + ! ! ! + + ! x x x x x x x x 9. Factor each polynomial. a) 3 3 125 64 t p + b) 25 36 2 ! z c) 3 4 2 ! ! k k d) 1 6 9 2 + ! p p e. 3 2 4 2 8 d cd d c + + + 10. Assume all variables represent positive real numbers. Simplify the following (if possible): a) 4 5 32 a ! = b) 3 5 3 2 8 27 y x y x ! 11. Evaluate the following: a) ) 4 )( 3 2 ( + ! k k b) 2 ) 9 4 ( + x...
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IA_QR_I - Are the equations independent or dependent? 7 3 =...

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