Digital SAT Math Problems and Solutions (Part

Problem 1 :

A certain town has an area of 4.36 square miles. What is the area, in square yards, of this town? (1 mile = 1,760 yards)

A)  404

B)  7,674

C)  710,459

D)  13,505,536

Solution :

Problem 2 :

For line h, the table shows three values of x and their corresponding values of y. Line k is the result of translating line h down 5 units in the xy-plane. What is the x-intercept of line k?

Solution :

Problem 3 :

In the xy -plane, the graph of the equation y = -x² + 9x – 100 intersects the line y = c at exactly one point. What is the value of c?

Solution :

Problem 4 :

2x + 3y = 7

10x + 15y = 35

For each real number r, which of the following points lies on the graph of each equation in the xy-plane for the given system?

Solution :

Problem 5 :

The perimeter of an equilateral triangle is 624 centimeters. The height of this triangle is k√3 centimeters, where k is a constant. What is the value of k?

Solution :

Problem 6 :

8x² + 112px + 8y² – 64py
= -448p²

In the xy-plane, the graph of the given equation is a circle. The
length of the radius of the circle is np, where n and p are positive constants.
What is the value of n?

Solution :

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