DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 48)

Problem 1 :

In the xy-plane, the line determined by the points (c, 11) and (-1, c) intersects the y-axisat y = 5. Which of the following could be the value of c?

A)  -3

B)  1

C)  2

D)  4

Solution :

Problem 2 :

The function is g is defined by g(x) = c√x + d, where c and d are constants. In the xy-plane, the graph of y = g(x) passes through the point (16, 0) and g(36) is less than 0. Which of the following must be true?

A)  g(0) = 36

B)  g(0) = -36

C)  c > d

D)  c < d

Solution :

Problem 3 :

The quadratic equation ax² + 200x + c = 0 has at least one real solution. What is the greatest possible value of c?

Solution :

Problem 4 :

Which of the following equations represents a circle in the xy-plane that intersects the y-axis at exactly one point?

A) (x - 8)² + (y - 8)² = 16

B)  (x - 8)² + (y - 4)² = 16

C)  (x - 4)² + (y - 9)² = 16

D)  x)² + (y - 9)² = 16

Solution :

Problem 5 :

In triangles ABC and DEF, angles B and E each have measure 27° and angles C and F each have measure 41°. Which additional piece of information is sufficient to determine whether triangle ABC is congruent to triangle upper DEF ?

A)  The measure of angle upper A

B)  The length of side AB

C)  The lengths of sides BC and EF

D)  No additional information is necessary.

Solution :

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