Tricky SAT Math Problems Solved Easily

Question 1 :

The length x, and width y, of a rectangle can be related by the following system of equations. If both the length and width are integers, what is the area of the rectangle?

Question 2 :

If (a – 3)² + (b – 4)² + (c + 5)² = 0, what is the value of a + b + c?

Question 3 :

⁷√p4 = t^5/6

In the given equation, p > 1 and t > 1. If t = p^{2n – 1}, where n is a constant, what is the value of n?

Question 4 :

If (px + 5)(qx + 3) = 8x² + rx + 15 for all values of x, and p + q = 6, what are two possible values for r?

A)  2 and 4

B)  7 and 12

C)  22 and 26

D) 29 and 39

Question 5 :

The graph of a circle intersects the x-axis and y-axis at four distinct points, one of which lies on the negative x-axis at (k, 0). If k is a constant, what is its value?

A)  –4

B)  –6

C)  –8

D)  –10

Answers (1-5)

Question 6 :

If x ≠ 0 and y ≠ 0, which of the following is equivalent to the above expression?

A)  2xy^-2

B)  4x^-2y²

C)  4x^-1y^-2

D)  4xy²

Question 7 :

(ax + 3)(5x² – bx + 4) = 20x³ – 9x² – 2x + 12

The equation above is true for all real values of x, where a and b are constants. What is the value of ab?

A)  18

B)  20

C)  24

D)  40

Question 8 :

For a certain rectangular region, the ratio of its length to its width is 35 to 10. If the width of the rectangular region increases by 7 units, how must the length  change to maintain this ratio?

A)  It must decrease by 24.5 units.

B)  It must increase by 24.5 units.

C)  It must decrease by 7 units.

D)  It must increase by 7 units.

Question 9 :

In the xy-plane above, O is the center of the circle and the measure of ∠POQ is a°. What is the cosine of a°?

Question 10 :

In the given equation, r and s are constants. The equation has no solution. What is the value of r?

Answers (6-10)

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