DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 245)

Problem 1 :

x² – 2ax + y² – 4by = 0

The equation of a circle in the xy-plane with center (2, 4) is shown above. What is the radius of the circle?

A)  4

B)  2√5

C)  5

D)  3√5

Solution :

Problem 2 :

In the xy-plane above, OQ is perpendicular to OP and the length of OQ is 5. What are the coordinates of point Q?

A)  (-4, 3)

B)  (-4, 5)

C)  (-3, 4)

D)  (-3, 5)

Solution :

Problem 3 :

The graph of the linear function g intersects points (p, 0) and (0, q) in the xy-plane. If pq < 0, which of the following is true about the graph of g?

A)  The graph of g has a positive y-intercept.

B)  The graph of g has a negative y-intercept.

C)  The graph of g has a positive slope.

D)  The graph of g has a negative slope.

Solution :

Problem 4 :

If 5x + y = 13 and 8^x/2^y = 32, what is the value of x?

A)  2.25

B)  4.5

C)  6.5

D)  7.75

Solution :

Problem 5 :

Jackson drives an average of 300 miles each week. His car can travel an average of 25 miles per gallon of gasoline. Jackson would like to reduce his weekly expenditure on gasoline by $8. If gasoline costs $2.50 per gallon, how many average miles should he drive each week?

A)  200 miles

B)  220 miles

C)  240 miles

D)  250 miles

Solution :

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