MATCHING COEFFICIENTS OF POLYNOMIALS ON SAT

Problem 1 :

If a ≠ 0, 

what is the value of x ?

a)  -5    b)  -1    c)  1   d)  5

Solution

Problem 2 :

If x + k = 12 and p(x + k) = 36, what is the value of p ?

(A) 3     (B) 4     (C) 6    (D) 9     (E) 12

Solution

Problem 3 :

y = a(x - 2)(x + 4)

In the quadratic equation above, a is a nonzero constant. The graph of the equation in the xy-plane is a parabola with vertex (c, d) . Which of the following is equal to d ?

A) −9a     B) −8a     C) −5a      D) −2a

Solution

Problem 4 :

The equation

true for all values x ≠ 2/a, where a is the constant. What is the value of a ?

a)  -16      b)  -3      c)  3       d)  16

Solution

Problem 5 :

The angles shown above are acute and

sin(a°) = cos(b°)

If a = 4 − 22k and b = 6 − 13k, what is the value of k ?

Solution

Problem 6 :

In the xy-plane, the line determined by the points (2, k) and (k ,32) passes through the origin. Which of the following could be the value of k ?

A) 0      B) 4         C) 8         D) 16

Solution

Problem 7 :

tx + 12y = -3

The equation above is the equation of a line in the xy-plane, and t is a constant. If the slope of the line is 10, - what is the value of t ?

Solution

Problem 8 :

(-3x² + 5x - 2) - 2(x² - 2x - 1)

If the expression above is rewritten in the form ax² + bx + c, where a, b, and c are constants, what is the value of b ?

Solution

Problem 9 :

The perimeter of an equilateral triangle is 624 centimeters. The height of this triangle is k√3 centimeters, where k is a constant. What is the value of k?

Solution

Problem 10 :

If a = 5√2 and 2a = √(2x), what is the value of x ?

Solution