Simplify. 2 12 x + 3 48 x =

If f ( x ) = 5 x + 6 , then f ( x + 1 ) = ().

Solve. 10 z – 4 + 3 z – 3 = 7 z – 2 z 2 – 7 z + 12 z = Enter your answer as a reduced fraction if necessary.

Solve. z 2 + 17 3 z + 3 = 0 z=  (Express your answer in radical form. If no real solution exists, enter DNE.)

Use the set of ordered pairs to determine whether the relation is a function. Then find the domain of the relation, and the range of the relation. {(-5, 6), (-2, -4), (-1, 5), (-1, -5), (8, 3)} Is the relation a function?    (enter yes or no) The domain of the relation is {}. (Enter the domain elements in numerical order (least to greatest) and separated by commas without spaces.) The range of the relation is {}.   (Enter the range elements in numerical order (least to greatest) and separated by commas without spaces.)

Find the equation of the line through the point (7,−9) that is perpendicular to the line with equation y = – 12 7 x + 15 . The equation is (Be sure to enter your answer as an equation)

Rewrite using a rational exponent. Assume all variables are positive. a 3 b 9 5 =

Evaluate each logarithm using the other properties of logarithms.log() =

Simplify. Assume all variables are nonnegative. ( 4 5 z 4 ) ( 2 2 z 4 ) =

Write with a rational exponent. You do not need to expand powers of coefficients. ( 3 x 4 b ) 3 4 =