DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 259)

Problem 1 :

3x² + 18x + 3y² – 6y – 15 = 0

The equation above gives the graph of a circle in the xy-plane. If the circle is inscribed in a square, what is the area of the square?

Solution :

Problem 2 :

A table of popular movie theater chains is shown above. A movie theater chain is considered a BIG chain, if it has more than 6,000 screens. The ratio of BIG chain screens to all screens is k to 5. If Wanda (a smaller chain) has a total of x thousand screens, which expression represents k in terms of x?

Solution :

Problem 3 :

Solution :

Problem 4 :

The effectiveness of onlinemath4all YouTube channel on student DSAT Math score improvement is being studied. A psychometrician selected 152 students for the study. The students were obtained from two randomly selected schools of 76 students each. The students from one school received access to many onlinemath4all videos, while the students from the second school did not use onlinemath4all’s videos (they were encouraged to seek other sources). How should the experiment be changed to allow the reasearcher to conclude whether onlinemath4all videos have an effect on DSAT math score improvement?

A) All 152 students should receive acess to onlinemath4all’s videos.

B) One of the schools should study without a calculator.

C)  Half of the students from each school should be randomly assigned to each study plan.

D)  No changes to the experiment are needed.

Solution :

Problem 5 :

Which of the following could be the equation of the graph shown in the xy-plane?

A)  y = – (1/15)(x – 6)(x – 4)²(x + 1)

B)  y = – (1/15)(x – 6)²(x – 4)(x + 1)²

C)  y = – (1/15)(x + 6)(x + 4)²(x + 1)

D)  y = – (1/15)(x + 6)²(x + 4)(x – 1)²

Solution :

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