# SAT Reasoning Student-Produced Responses

## Grid-In Practice Questions

Question 1: In the x,y plane, what is the distance between origin and the (4,3) point?

Question 2: The sum of 4 consecutive integers is 26. What is the product of the 4 numbers?

Question 3: 60% of the players of a team score 5 points each during a basketball game, 30% of players score 1 point each, and 10% score 7 points each. What is the average number of points scored by the players of the team?

Question 4: If f(x) = x - 1, what is the value of x that satisfies the equality f(x) - 1 = f(x^{2}) - x^{2}

Question 5: The amount of time taken to build a house is inversely proportional to the number of construction workers on the job. If it takes 6 workers 6 days to complete such a job, how many days will it take if the job is done by only 4 workers?

Question 6: If side a of triangle ABO is tangent to the circle of center O, what is the value of the radius of the circle in inches? Side a of the ABO triangle is 4 inches and side b of the same triangle is 5 inches.

Question 7: A jar contains a nickel, a dime, and six quarters. Tom draws a coin from the jar, and then Mary draws a coin from those remaining. If the probability that Tom draws the nickel and Mary draws the dime is 1/x, what is the value of x?

Question 8: What is the length of the sides of an equilateral triangle, if the lengths of the altitudes of the triangle are √3?

Question 9: If the population of virus doubles every 90 minutes, the population after 9 hours will be how many times the population at the start?

Question 10: f(x) = |x| and g(x) = x - 1. How many solutions x satisfy f(x) = g(x)?

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