DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 45)

Problem 1 :

What is the value of k, if the given equation has only one solution?

Solution :

Problem 2 :

A square map has side lengths of 120 inches. One inch on the map represents 9 miles. On a smaller version of the map, the side lengths are 40% smaller than the larger map. What is the actual distance represented by 1 inch on the smaller map?

Solution :

Problem 3 :

A value is decreased by 20%. By what percent has the decreased value to be increased , so that the resulting value will be equal to the original value?

Solution :

Problem 4 :

The quadratic function f(x) = (x - 16)² + d can be written as f(x) = (x - 10)(x + c). What is the value of d?

Solution :

Problem 5 :

A square of area 2 is inscribed in a square of area 3, creating four congruent triangles, as shown below. What is the ratio of the shorter leg to the longer leg in the shaded right triangle?

Solution :

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