Beginning Algebra Review Exam 3


Material covered:

    Adding and Subtraction Polynomials
    Multiplying Polynomials
    Dividing Polynomials
    Factoring Polynomials
    Solving Quadratic Equations By Factoring

I.  Polynomials:  Perform the indicated operations.

    A.   1.  (3x² - 5x + 4) + (7x² + 9x - 8)

         2.  (7x² - 5x + 3) - (-2x² + 6x - 4)

         3.  5x(x - 4) - 3x(2x + 1)

         4.  (6x² y)(4x³ y² )

         5.  (3x - 8)(4x + 1)

         6.  (2x²  + 3x - 1)(x²  + 5x + 4)

         7.  (4a³ )²

         8.  (5x - 3)²

         9.  (5x³ y³ )/(xy² )

         10.  (14x³  - 22x)/(2x)

         11.  (2x³ + x - 4)/(x - 2)

    B.   1.  Subtract x²  + 4x - 3 from 2x²  + 7x - 8.

         2.  What is the degree of the polynomial 4x²  + 7x³  - 3x  +  9 ?

II. Factoring.

    A.  Completely factor.

         1.  3x²  - 9x - 30

         2.  6x²  - 7x - 10

         3.  50x²  - 32

         4.  49x²  - 42x + 9

         5.  x²  - 5x  - 36

         6.  125x³ - 64

         7.  27x³ + 8

     B.  Solve for x.

         1.  2x²  - 3 = -5x

         2.  4x²  - 20x + 25 = 0

         3.  5x²  + 6x - 8 = 0

    C.  Stated Problems.

         1.  The base of a triangle is four feet shorter than twice its altitude.  If the area
             of the triangle is 48 square feet, find its dimensions.

         2.  The base of a triangle is four feet shorter than twice its altitude.  If the area
             of the triangle is 48 square feet, find its dimensions.

After carefully working out the review sheet see selected answers or go to home page.

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