DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 229)

Problem 1 :

Which of the following are zeros of the function


Solution :

Problem 2 :

digitalsatmath323.png

Radioactive decay is an exponential function where the amount, y, of radioactive material is reduced by one half over certain period of time t. The table above represents such exponential decay over 400 years. How much of this material, in grams, would remain radioactive after 1000 years?

A)  0.78125

B)  0.90254

C)  1.5625

D)  3.125

Solution :

Problem 3 :

Which of the following describes the transformation of the quadratic function f(x) = x2 that results in the function g(x) = x2 + 12x + 20?

A) The graph of f has been translated 12 units to the right and moved up 20 units.

B) The graph of f has been translated 6 units to the right and moved down 20 units.

C) The graph of f has been translated 6 units to the left and moved up 16 units.

D) The graph of f has been translated 6 units to the left and moved down 16 units.

Solution :

Problem 4 :

digitalsatmath324.png

Isosceles trapezoid ABCD is shown above. AB = 2a, BC = a and ∠BAD = 60°. What is the area of the isosceles trapezoid?

A)  a2√2/2

B)  2a2√3

C)  a2√3/2

D)  a2√3

Solution :

Problem 5 :

digitalsatmath325.png

In the xy-plane above, the graphs of y = x2 and y = mx + k intersect at x = -2 and x = 3. What is the value of k?

A)  1

B)  2

C)  3

D)  4

Solution :

Problem 6 :

Before a big test, James memorized 10 percent more words than Zach. Zach memorized 30 percent more words than Amy. If Amy memorized a words, how many words did James memorize in terms of a?

A)  (1.10)(1.30)a

B)  a/[(1.10)(1.30)]

C)  a/[(0.9)(0.7)

D)  1.40a

Solution :

Problem 7 :

satcircles1.png

A certain pizza restaurant cuts slices out at every 4 inches along the edge of a pizza, as shown in the figure above. What is the maximum number of full pizza slices that can be cut out from a circular pizza with a radius of 10 inches?

(A)  -4

(B)  0

(C)  1

(D)  2

Solution :

Problem 8 :

satprobability1a.png

The table above shows the distribution of age and social media presence for 720 employees at a company, If an employee who uses social media is selected at random, what is the probability the employee is age 30 or older?

(A)  1/3

(B)  4/9

(C)  1/2

(D)  2/3

Solution :

Problem 9 :

The function f is defined by f(x) = x2 + bx + c, where b and c are constants. If the graph of f has x-intercepts at -5 and 3, which of the following correctly gives the values of b and c?

(A) b = -5 and c = 3

(B) b = -3 and c = 5

(C) b = -2 and c = -15

(D) b = 2 and c = -15

Solution :

Problem 10 :

In the xy-plane, the line y = mx + b, where m and b are cosntants, is a reflection of line l across the y-axis. At which of the following points do the two lines intersect?

(A) (0, b)

(B) (0, -b)

(C) (0, m)

(D) (m, 0)

Solution :

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