Algebra 1--Please, check my answer!

1. A city map is laid out on a coordinate plane. Elm Street is described by the line x + 2y = -6. Oak street intersects Elm Street at an right angle. Which of the following could be the equation for Oak Street?

a. 2x + y = 5
b. -2x + y = 3
c. x + 2y = 4
d. -x - 2y = 8

My answer: d?

2. Which expression is NOT equivalent to 3/x-1?

a. (3x + 6)/(x^2 + x - 2)
b. (3x - 3)/(x^2 - 2x + 1)
c. (3x + 3)/(x^2 - 1)
d. (3x - 3)/(x - 1)

My answer: d?

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  1. 1. the slope of x+2y = -6 is -1/2
    so we are looking for a line with slope +2
    so anything starting with 2x-y = .... or -2x + y = ... will do.
    looks like b) to me

    2.
    They all factor and simplify
    a) 3(x+2)/((x+2)(x-1)) = 3/(x-1) , x ≠ -2
    b) 3(x-1)/((x-1)(x-1)) = 3/(x-1) , x ≠ 1
    c) 3(x+1)/((x+1)(x-1) = 3/(x-1) , x≠ -1
    so far they are all equal
    so if there is an answer it must be d)
    d) 3(x-1)(x-1) = 3 , which is not the same as 3/(x-1)

    you were right with d)

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    posted by Reiny

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