Algebra 1

1. Mr. Lui wrote 15 - 5x/x^2 - 9x + 18.

a. Explain what kind of expression it is.
b. Simplify the expression. Show your work.
c. Identify any excluded values.

A:

a. It is a rational expression.
b. 5/x - 6
c. Excluded value: x = 6

2. Lynne can paint a wall in 40 minutes. Jeff can paint the same wall in 60 minutes. How long will it take Lynne and Jeff to paint the wall if they work together?

A: ?

3. What are 2 values of b that will make 2x^2 - bx - 20 factorable? Explain your answer.

A: ?

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  1. 1.(15-5x)/(x^2-9x+18).
    -5(x-3)/(x-3)(x-6) = -5/(x-6).

    2. T=T1*T2/(T1+T2)
    T = 40*60/(40+60)=24 min.

    3. A*C = 2*(-20)-40 = 4*(-10) = 5*(-8)
    B = The sum of the pair of factors that
    are divisible by 2:
    B = 2+(-20) = -18
    B = 4+(-10) = -6

    Eq1: 2x^2-18x-20 = 0
    Divide by 2:
    x^2-9x-10 = 0
    (x+1)(x-10) = 0

    Eq2: 2x^2-6x-20 = 0
    Divide by 2 and factor.


    9

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    posted by Henry
  2. Henry is right the way he explained it

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