DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 226)

Problem 1 :

If f(x – 1) = –5x + 2, what is f(x + 2) equal to?

A)  –5x – 2

B)  –5x – 13

C)  –5x – 14

D)  –5x² – 10x + 2

Solution :

Problem 2 :

If (2√a - √b)/2√b = 1/4, what is the value of a/b?

A)  2/3

B)  3/4

C)  4/9

D)  9/16

Solution :

Problem 3 :

In the figure above, three identical circles with radius of 5 are tangent to one another. If lines ℓ and m are parallel and tangent to the circles, what is the value of h, the distance between the two lines?

A)  5√2 + 10

B)  10√3 + 5

C)  5√3 + 10

D)  10√3 + 10

Solution :

Problem 4 :

The population of a nation decreases by 2.5% every 10 years. If the population was 10,000,000 people in 2000, which of the following expressions estimates the population of the nation in the year 2040?

A) 10,000,000(0.025)⁴⁰

B) 10,000,000(0.025)⁴

C) 10,000,000(0.975)⁴⁰

D) 10,000,000(0.975)⁴

Solution :

Problem 5 :

x² – 5x – 11 = a(x² – 1) + b(x + 1) + c

In the equation above, a, b and c are constants. If the equation is true for all real values of x, what is the value of a + b + c?

Solution :

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