DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 69)

Problem 1 :

10x² – kxy + 15y² = 0

In the equation above, the ratio between x and y is 5 : 2, then what is the value of k?

Solution :

Problem 2 :

For a certain rectangular region, the ratio of its length to its width is 35 to 10. If the width of the rectangular region increases by 7 units, how must the length change to maintain this ratio?

A)  It must decrease by 24.5 units.

B)  It must increase by 24.5 units.

C)  It must decrease by 7 units.

D)  It must increase by 7 units.

Solution :

Problem 3 :

The given equation relates the distinct positive real numbers w, x, and y. Which equation correctly expresses w in terms of x and y?

Solution :

Problem 4 :

A right triangle has sides of length 2√2, 6√2 and √80 units. What is the area of the triangle, in square units?

A)  8√2 + √80

B)  12

C)  24√80

D)  24

Solution :

Problem 5 :

The expression 4x² + bx - 45, where b is a constant, can be written as (hx + k)(x + j), where h, k and j are integer constants. Which of the following must be an integer?

Solution :

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