Equation - Linear Equation

SOURCE:COMPETITION
Number of Problems: 4. : (Book)

 

 

1.
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The lines x=frac{1}{4}y+a and y=frac{1}{4}x+b intersect at the point (1,2). What is a+b?

mathrm{(A) } 0qquad mathrm{(B) } frac{3}{4}qquad mathrm{(C) } 1qquad mathrm{(D) } 2qquad mathrm{(E) } fr...

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2.
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The equations 2x + 7 = 3 and bx - 10 = - 2 have the same solution. What is the value of b?

(mathrm {A}) -8 qquad (mathrm {B}) -4 qquad (mathrm {C}) 2 qquad (mathrm {D}) 4 qquad (mathrm {E}) 8

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3.
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The larger of two consecutive odd integers is three times the smaller. What is their sum?

ext{(A)} 4 qquad ext{(B)} 8 qquad ext{(C)} 12 qquad ext{(D)} 16 qquad ext{(E)} 20

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4.
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What is the sum of all the solutions of x = left|2x-|60-2x| ight|?

extbf{(A)} 32 qquad extbf{(B)} 60 qquad extbf{(C)} 92 qquad extbf{(D)} 120 qquad extbf{(E)} 124

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