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sample - Sample Questions for Mathematics Placement...

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Sample Questions for Mathematics Placement Diagnostic Test. Elementary functions 1. If 3 x +4 x 2 + x - 6 = A x +3 + B x - 2 , then A = . ( a )1 ( b )2 ( c ) 2 5 ( d ) 13 5 ( e )None of these 2. Let f ( x ) = ax + 2 and g ( x ) = 3 x - b . Find values for a and b so that f and g are inverse functions. ( a ) a = 1 3 , b = 6 ( b ) a = 1 3 , b = - 6 ( c ) a = - 1 3 , b = 6 ( d ) a = - 1 3 , b = - 6 3. The coefficient of x 2 y 6 in the binomial expansion of ( x + y ) 8 is ( a )0 ( b )28 ( c )56 ( d )360 ( e )None of these 4. If f ( x ) = 2 ( x 3 ) , then the inverse function of f ( x ) is ( a )(log 2 x ) 1 3 ( b ) log 2 ( x 3 ) ( c ) log 2 ( x ) ( d )( 1 2 ) - x 3 ( e ) 1 2 ( x 3 ) 5. The slope of the line 3 x - 5 y - 7 = 0 is ( a ) 5 3 ( b ) 3 5 ( c ) - 5 3 ( d ) - 7 5 ( e ) - 3 5 6. A right triangle has a hypotenuse of length 13 and one side of length 12. The other side must be of length ( a ) 313 ( b )25 ( c )1 ( d )5 ( e )None of these 7. If f ( x ) = 1 3 x + x , then f ( - 1) equals ( a )4 ( b ) - 4 3 ( c ) - 2 3 ( d ) 2 3 ( e )2 8. An equation of the line passing through ( - 2 , 4) with slope 5 4 is ( a )5 x - 4 y = - 26 ( b )5 x + 4 y = - 26 ( c )5 x + 4 y = 6 ( d )4 x + 5 y = 12 ( e )5 x - 4 y = - 6 9. The graph of the parabola y = x 2 - 100 x is symmetric with respect to the line ( a ) y = 10 ( b ) y = - 10 ( c ) x = - 10 ( d ) x = 10 ( e )
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