Problem 1 :
If a = x^{2} - 5x + 2 and b = 3x^{3} + 4x^{2} - 6, what is (3a - b) in terms of x?
A) 4x^{2} - 15x + 12
B) -3x^{3} - x^{2} - 15x + 12
C) -3x^{3} - x^{2} - 15x
D) -3x^{3} + 7x^{2} - 15x + 12
Solution :
Problem 2 :
In the xy-plane above, line l has slope -5/4. What is the area of the triangle bounded by line l, the x-axis and the y-axis?
A) 5
B) 8
C) 10
D) 16
Solution :
Problem 3 :
The price of a textbook this year is 20% greater than the price last year. If this year's price is p, what was last year's price in terms of p?
Solution :
Problem 4 :
y = x^{2} - 2x - 3
A parabola in the xy-plane is given by the equation above. Which of the following equivalent forms of the equation displays the coordinates of the vertex of the parabola as constants or coefficients?
A) y = (x - 1)^{2} - 4
B) y = (x - 1)^{2} - 2
C) y = (x - 3)(x + 1)
D) y + 3 = x(x + 2)
Solution :
Problem 5 :
The number of dandelions in a large park is recorded over the course of five months, as shown the table below.
Which of the following best describes the relationship between time and the number of dandelions during five months?
A) Increasing linear
B) Decreasing linear
C) Exponential growth
D) Exponential decay
Solution :
Problem 6 :
The function M models the mass of the radioactive isotope carbom-14 in a sample, in picograms, t years after the initial measurement. How much time, in years, does it take for the mass of carbon-14 in the sample to decrease to 5 picograms?
Solution :
Digital SAT Problems and Solutions (Part - 1)
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