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PSAT Math Grid-Ins Practice Test 14

The use of a calculator is not permitted.

1. A circle has the equation x2 + y2 = 36. What is the shortest distance in units from the origin to a point on the circle?

2. Jamie can run miles in the time that Matt takes to run k miles. If Jamie and Matt run for the same amount of time and their combined mileage is 10 miles, how many miles did Jamie run?

3. What is the product of all solutions to (x + 2)2 = (2x - 3)2?

4. If a4 - 2a3 + 2a2 + ma + 2 has (a + 1) as a factor, what is the value of the constant m?

5. What will be the new slope of the line y = 2x + 3 after it is translated 3 units to the right and 2 units down?

6. If 2x + 3 = 4, what is the value of 6x + 9?

7. If x > 0 and x2 + 10x = 11 , what is the value of x + 5?

8. The function f(x) = (x - 3)(x + 2)((x -1)2) will intersect the x-axis how many times?

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