Lesson College Algebra Factoring, Fractions, Radicals, Equation Solving

College Algebra Exam 1 LG    R²         NAME____________________

SHOW ALL WORK ON THIS TEST OR ON SEPARATE PAPER. Circle answers.

TURN IN ALL WORKSHEETS. GRAPHING CALCULATORS ARE REQUIRED ON THIS TEST. (WHEN CALCULATORS ARE USED, SKETCH THE GRAPH, DESCRIBE THE WINDOW, OR OTHERWISE INDICATE WHAT YOU DID!!)

In 1 - 4, factor completely and simplify if possible:

  1.    2x⁴ – 54x                        2.    (x+2y)² – 10(x+2y) + 25

  3.    x⁵ + 9x⁴ – 4x – 36          4.    (x² – 7x) ² + 16 (x² – 7x) + 60

  5.                          6.   

  7.    Simplify:     

  8.    Simplify:     

11.                                             12.      

In 13 – 16, solve the equations for x. (Give complex or radical form when appropriate.)

13.   |2x – 3| = |x + 6|                              14.     x² + 20 = 4x

15.   x² = 4 ( x + 2)                                 16.    

In 17 – 19, use a calculator to calculate the value. Give scientific notation or round to nearest hundredth.

17a)         18a)              19a)  Give scientific notation: 0.0000042

     b)            b)            b) Give in the form a+bi:   

                                                                                     (Fractional form)

In 20 – 21, graph each of the following.

20a)   y = x²                                               21a)