PSAT 10 - Math

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4 Terms

1
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4x - y = 3y + 7
x+ 8y = 4

Based on the system of equations above, what is the value of the product xy?

1/2

2
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If 1/2x + 1/3y = 4, what is the value of 3x + 2y?

24

3
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x2 + y2 - 6x + 8y = 144

The equation of a circle in the xy-plane is shown above. What is the diameter of the circle?

26

4
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If the expression 4x2/ 2x-1 is written in the equivalent form 1/2x-1 + A, what is A in terms of x?

2x + 1