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Linear Equations

Your music collection grows by 20 songs every week. If you currently have 1,000 songs, how many weeks will it take to amass 3,500 songs?

Finding Points on a Line

         

The point \( (12, k)\) lies on the line \( y = 2x + 7\). What is the value of \(k\)?

If \(P=(a, 3)\) is a point on the line \[x+y-11=0,\] what is the value of \(a\)?

If the graph of \(y=7x-20\) passes through two points \(A=(-1,p)\) and \(B=(q,14),\) what is the value of \(p+28q?\)

How many points are there on the line \(x+2y=9\) such that the \(x\)- and \(y\)-coordinates are both non-negative integers?

If \(P=(5, a)\) is a point on the line \[3x+y-22=0,\] what is the value of \(a\)?

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