DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 223)

Problem 1 :

When the graph of y = x² is moved to the right 3 units and down 4 units, which of the following is the equation of the resulting graph?

A)  y = (x – 1)(x – 5)

B)  y = (x + 1)(x – 4)

C)  y = (x – 2)(x – 4)

D)  y = (x + 2)(x – 2)

Solution :

Problem 2 :

For a quadratic function f(x) = x² + bx + c in the xy-plane, f(2) = f(6) = 4, what is the value of c?

A)  4

B)  8

C)  12

D)  16

Solution :

Problem 3 :

y = (x – 5)²

y = k

In the system of equations above, k is a constant. If the system has two points of intersection and the distance between these two points is 10, what is the value of k?

A)  20

B)  25

C)  30

D)  35

Solution :

Problem 4 :

x² + 6x + 2 = 0

If a and b are the roots of the equation above, what is the value of (a + 1)(b + 1)?

A)  9

B)  10.5

C)  11

D)  12

Solution :

Problem 5 :

For a polynomial p(x), the remainder when p(x) is divided by (x – 1) is 2 and the remainder when p(x) is divided by (x + 1) is –4. If p(x) is divided by (x² – 1), what is the remainder?

A)  2x + 1

B)  3x – 1

C)  4x + 1

D)  3x + 1

Solution :

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