DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 209)
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Problem 1 :
Albert and Bunny are 100 feet apart. Each person walks at a steady pace toward the other. If Albert walks at a constant rate of 3 feet per second and Bunny walks at a constant rate of 4 feet per second, how far will Albert walk in feet, when they meet?
A) 100/7
B) 300/7
C) 400/7
D) 70
Solution :
Problem 2 :
Which of the following is equivalent to the expression
x3 + x2y – x – y ?
A) (x + y)(x2 + 1)
B) (x + y)(x2 – 2y)
C) (xy + 1)(x2 + 1)
D) (x + y)(x + 1)(x – 1)
Solution :
Problem 3 :
In the figure above, the area of triangle ABC is 96. If AD = 9 and BD = 15, what is the length of CD?
A) 7
B) 8
C) 9
D) 14
Solution :
Problem 4 :
3x + 4y = 12
The graph of the equation above in the xy-plane is a line, ℓ. Line m is perpendicular to line ℓ at point (a, b) and passes through the origin. Which of the following is the value of a?
A) 1.44
B) 4.8
C) 5
D) 5.4
Solution :
Problem 5 :
The function f is defined by f(x) = |x + 5| – 4. If f(0) = f(k), what is the value of k?
A) –10
B) –5
C) 4
D) 10
Solution :
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