Digital SAT Math Problems and Solutions (Part

Problem 1 :

In the figure above, ΔABC and ΔDBE are right triangles. If AC = 12, BC = 15 and DE = 8, what
is the length of BE?

A)  8.5

B)  9

C)  9.5

D)  10

Solution :

Problem 2 :

The line y = kx + 4, where k is a constant, is graphed in the xy-plane. If the line contains the point (c, d), where c ≠ 0 and d ≠ 0, what is the slope of the line in terms of c and d?

Solution :

Problem 3 :

In the expression 3(2x² + px + 8) – 16x(p + 4), p is a constant. If this expression is equivalent to the expression 6x² – 155x + 24. What is the value of p?

A)  -3

B)  7

C)  13

D)  155

Solution :

Problem 4 :

What is the solution set of the equation above?

A)  {-1}

B)  {5}

C)  {-1, 5}

D)  {0, -1, 5}

Solution :

Problem 5 :

2z³ – kxz² + 5xz + 2x – 2

In the polynomial
above, k is a constant. If z – 1 is a factor of the polynomial
above, what is the value of k?

Solution :

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