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 :
Digital SAT Problems and Solutions (Part - 1)
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