Basic Mathematics for College Students

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710 Chapter 8 Cumulative Review



  1. Translate each phrase to an algebraic expression.
    [Section 8.1]
    a. 4 less than x
    b. Twice the weightwincreased by 50

  2. Simplify each expression.[Section 8.2]
    a. b.

  3. Multiply.[Section 8.2]
    a. b.

  4. Combine like terms.[Section 8.2]
    a. b.


c. d.


  1. Use a check to determine whether 4 is a solution of
    .[Section 8.3]


Solve each equation and check the result.[Section 8.4]









61.


  1. 8 y 10


3(3y8)2(y4) 3 y

y
4
3 x 2  13  1  5

3 x 1 x 8

4 x 3 y 5 x 2 y 9(3x4) 2 x

8 x 3 x 4 a^2  6 a^2  3 a^2 a^2

2(3x4) 5(3x 2 y4)

3(5x)  4 x( 7 x)

Form an equation and solve it to answer each question.


  1. OBSERVATION HOURS To get a Masters
    degree in learning disabilities, a graduate student
    must have 100 hours of observation time. If a
    student has already observed for 37 hours, how
    many more 3-hour shifts must she observe?
    [Section 8.5]

  2. GEOMETRY The perimeter of a rectangle is
    210 feet. If the length is four times longer than the
    width, what is the length and width of the rectangle?
    [Section 8.5]

  3. Identify the base and the exponent of each
    expression.[Section 8.6]
    a.
    b.

  4. Simplify each expression.[Section 8.6]
    a. p^3 pp^5 b.
    c. d. (3a^2 )^4
    e. (2p^3 )^2 (3p^2 )^3 f. [(2.6)^2 ]^8


(x^2 y^3 )(x^3 y^4 )

(t^5 )^3

2 a^3

89

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