DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 265)

Problem 1 :

In the given equation, k is a constant. The equation has exactly one real solution. What is the value of 56k? (Round your answer to the nearest tenth)

Solution :

Problem 2 :

For the function f, for each increase in the value of x by 1/4, the value of f(x) increases by a factor of m. Which of the following equivalent forms displays m as a constant or coefficient?

A)  f(x) = 13(100)^2x

B)  f(x) = 13(1000^2/7)^14x/3

C)  f(x) = 13(100000^16/5)^x/4

D)  f(x) = 13(10^2/3)^6x

Solution :

Problem 3 :

A juice mixture has a total volume of 125 liters and is 45% juice by volume. The mixture was created by mixing two different solutions (solution A and solution B). Solution A was 24% juice by volume. Solution B was 64% juice by volume. The volume, in liters, of juice in solution A is equal to a. The volume, in liters, of juice in solution B is equal to b. The numbers a, b and p are all positive constants. If a is p% less than b, what is the value of p?(Round your answer to the nearest  hundredth) 

Solution :

Problem 4 :

In triangle DEF, angle F is a right angle, point Q lies on DE, point J lies on EF, and QJ is parallel to DF. If the length of EF is 45 units, the length of FJ is 24 units, and the area of triangle DEF is 630 square units, what is the perimeter of triangle QEJ, in units?

Solution :

Problem 5 :

The equation below is true for all values of x, where x ≠ 5/a and x ≠ -3b/2. The numbers a and b are constants. What is the value of b/a?

Solution :

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