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SAT Practice Test 29 Digital
16 Questions
Question 1 of 16
SAT Practice Test 29 Digital 0/16
Question 1 of 16   |  Algebra  · Level 2
If \(3 - \dfrac{1}{b} = \dfrac{3}{2}\), what is the value of \(b\)?
Question 2 of 16   |  Algebra  · Level 3
During a coyote repopulation study, researchers determine that the equation \(P = 250(1.32)^t\) describes the population P of coyotes t years after their introduction into a new region. Which of the following gives the values of I, the initial population of coyotes, and r, the annual percent increase in this population?
A
I = 250, r = 32%
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B
I = 250, r = 132%
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C
I = 330, r = 32%
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D
I = 330, r = 132%
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Question 3 of 16   |  Algebra  · Level 2
The square of a positive number is 0.24 greater than the number itself. What is the number?
Question 4 of 16   |  Algebra  · Level 3
Which of the following could be the x-intercept and y-intercept of a line that is perpendicular to the line \(3x + 6y = 0\)?
A
\((-6, 0)\) and \((0, 3)\)
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B
\((3, 0)\) and \((0, -6)\)
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C
\((3, 0)\) and \((0, 6)\)
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D
\((6, 0)\) and \((0, 3)\)
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Question 5 of 16   |  Algebra  · Level 3
The function f is defined by the equation \(f(x) = x - x^2\). Which of the following represents a quadratic with no real zeros?
A
\(f(x) + \dfrac{1}{2}\)
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B
\(f(x) - \dfrac{1}{2}\)
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C
\(f\left(\dfrac{x}{2}\right)\)
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D
\(f\left(x - \dfrac{1}{2}\right)\)
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Question 6 of 16   |  Algebra  · Level 3
The function f is a quadratic function with zeros at \(x = 1\) and \(x = 5\). The graph of \(y = f(x)\) in the xy-plane is a parabola with a vertex at \((3, -2)\). What is the y-intercept of this graph?
Question 7 of 16   |  Advanced Math  · Level 4
If \(i^{2k} = 1\), and \(i = \sqrt{-1}\), which of the following must be true about k?
A
k is a multiple of 4.
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B
k is a positive integer.
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C
When 2k is divided by 4, the remainder is 1.
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D
k/2 is an integer.
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Question 8 of 16   |  Geometry  · Level 4
When graphed in the xy-plane, the line \(y = m x - 4\) intersects the x-axis at an angle of \(\theta\). If \(m > 0\), \(0^{\circ} < \theta < 90^{\circ}\), and \(\cos \theta = \dfrac{3}{\sqrt{58}}\), what is the value of m?
Question 9 of 16   |  Statistics  · Level 2
The spinner for a board game has 10 sectors, numbered 1 through 10. It is spun 20 times and the results summarized in the table. What is the median value of these 20 spins?
A
2
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B
4
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C
5
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D
6
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Question 10 of 16   |  Algebra  · Level 2
The table shows ordered pairs that correspond to the function \(h(x) = \dfrac{x^2}{2} + k\). What is the value of k?
Question 11 of 16   |  Statistics  · Level 2
The graph shows the number of applicants and finalists for a statewide college scholarship program over four consecutive years. For which year was the ratio of finalists to applicants the greatest?
A
2010
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B
2011
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C
2012
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D
2013
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Question 12 of 16   |  Geometry  · Level 3
In the figure, BCDE is a rectangle, \(A C = 14\), \(B C = 12\), and \(E C = 13\). What is the value of \(\tan x\)?
A
0.4
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B
0.6
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C
1.3
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D
2.5
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Question 13 of 16   |  Algebra  · Level 2
The sum of two numbers is four times their difference. The smaller of these numbers is 15. What is the greater number?
Question 14 of 16   |  Geometry  · Level 4
If \(0 < x < 2 \pi\) and \(5 \cos x = \sqrt{5}\), what is the value of \(\sin^2\left(\dfrac{x}{3}\right)\)?
Question 15 of 16   |  Algebra  · Level 3
If \(g(x + 1) = x^2 + 2x + 4\) for all values of x, which of the following is equal to \(g(x)\)?
A
\(x^2 + 4\)
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B
\(x^2 + 3\)
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C
\((x - 1)^2 + 4\)
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D
\((x - 1)^2 + 3\)
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Question 16 of 16   |  Geometry  · Level 3
In the figure, the circle with center O has a circumference of 50, and \(A B = B C\). What is the length of arc AB?

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Reference Sheet

Area & Circumference

Circle$A = \pi r^2$,  $C = 2\pi r$
Rectangle$A = lw$
Triangle$A = \tfrac{1}{2}bh$
Trapezoid$A = \tfrac{1}{2}(b_1+b_2)h$

Volume

Box$V = lwh$
Cylinder$V = \pi r^2 h$
Sphere$V = \tfrac{4}{3}\pi r^3$
Cone$V = \tfrac{1}{3}\pi r^2 h$
Pyramid$V = \tfrac{1}{3}lwh$

Triangles

Pythagorean Thm$a^2 + b^2 = c^2$
30-60-90sides: $1,\, \sqrt{3},\, 2$
45-45-90sides: $1,\, 1,\, \sqrt{2}$
Triangle Anglessum $= 180°$

Other Facts

Circle Degrees$360° = 2\pi \text{ rad}$
Exterior Angle= sum of non-adjacent interior angles

The number of degrees of arc in a circle is 360. The number of radians of arc in a circle is $2\pi$.

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