DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 257)

Problem 1 :

An artist shades in her drawing at a rate of 1.3 square inches per second. What is this rate, in square decimeters per hour? (1 inch = 0.254 decimeter). Round your answer to the nearest tenth.

Solution :

Problem 2 :

In triangles PQR and XYZ, angles R and Z each have a measure of 38°. The length of side QR is equal to 11. The length of side YZ is equal to 27.5. Which additional piece of information is sufficient to prove that triangle PQR is similar to triangle XYZ?

A)  The measure of angle P is 46°.

B)  The measure of angle Q is 49° and the measure of angle Y is 94°.

C)  The length of side PR is 14 and the length of side XZ is 35.

D)  No additional information is necessary.

Solution :

Problem 3 :

Point P lies on the unit circle and its position is determined by constructing an angle of 119 π/6 radians with positive x-axis. What is the x-coordinate of Point P ?

A) – √3/2

B)  2√3/2

C)  √3/2

D)  –1/2 

Solution :

Problem 4 :

y = 3x² – 5x – 12

40x – 4y = a

In the given system of equations, a is a positive constant. The system has exactly one distinct real solution. What is the value of a?

Solution :

Problem 5 :

x² – 12x + 7 = 0

One solution to the given equation is j – √k, where j and k are constants. What is the value of jk?

Solution :

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