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    Algebra Homework Help

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    WEEK 2 DQ 1

    1. When simplifying like terms, how do you determine the like terms?

    2. How do you determine the common factors in an expression?

    3. What is factoring by grouping? When factoring a trinomial by grouping, why is it necessary to write the trinomial in four terms?

    4. What is a common factor? Where do you use the common factor in an expression consisting of various terms?

    WEEK 2 DQ 2

    1. When simplifying a rational expression, why do you need to factor the numerator and the denominator?

    2. When adding and subtracting rational expressions, why do you need a LCD?

    3. When a polynomial is not factorable what is it called? Why?

    4. Choose three integers a, b, and c. (Negative numbers are welcome.) Now use a, b, and c to create a trinomial ax2+bx+c. Can you factor this trinomial? How would you create a trinomial that will factor?

    INDIVIDUAL HOMEWORK

    Section 5.2

    Factoring a Difference of two squares

    #16

    Section 5.4

    Factor each trinomial using the ac method

    #38

    5.5

    Factoring strategy

    #82

    TEAM HOMEWORK

    5.1

    #94

    Area of a painting. A rectangular painting with a width of
    x centimeters has an area of square centimeters.
    Find a binomial that represents the length.

    # 96

    Amount of an investment. The amount of an investment
    of P dollars for t years at simple interest rate r is given by
    .
    a) Rewrite this formula by factoring out the greatest
    common factor on the right-hand side.
    b) Find A if $8300 is invested for 3 years at a simple interest rate of 15%

    5.3

    #110

    Area of a sail. The area in square meters for a triangular
    sail is given by
    a) Find A(5).
    b) If the height of the sail is meters, then what is
    the length of the base of the sail?

    5.4

    #112 (noel)

    Decreasing cube. Each of the three dimensions of a
    cube with sides of length s centimeters is decreased by a
    whole number of centimeters. The new volume in cubic
    centimeters is given by
    .
    a) Find V(10).
    b) If the new width is centimeters, then what are the
    new length and height?
    c) Find the volume when by multiplying the
    length, width, and height.
    5.6

    #74

    Rectangular stage. One side of a rectangular stage is
    2 meters longer than the other. If the diagonal is 10 meters,
    then what are the lengths of the sides?

    5.6

    #92

    Throwing a wrench. An angry construction worker throws
    his wrench downward from a height of 128 feet with an
    initial velocity of 32 feet per second. The height of the
    wrench above the ground after t seconds is given
    by .
    a) What is the height of the wrench after 1 second?
    b) How long does it take for the wrench to reach the
    ground?

    © BrainMass Inc. brainmass.com April 3, 2020, 7:25 pm ad1c9bdddf
    https://brainmass.com/math/basic-algebra/261160

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