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SAT Practice Test 4 Digital
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SAT Practice Test 4 Digital
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Question 1 of 2
| Algebra
· Level 3
Line \(t\) in the \(x y\)-plane has a slope of \(-\dfrac{1}{3}\) and passes through the point \((9, 10)\). Which equation defines line \(t\)?
A
\(y = 13x - \dfrac{1}{3}\)
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B
\(y = 9x + 10\)
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C
\(y = -\dfrac{x}{3} + 10\)
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D
\(y = -\dfrac{x}{3} + 13\)
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Question 2 of 2
| Advanced Math
· Level 3
The function \(f(x) = 206(1.034)^x\) models the value, in dollars, of a certain bank account by the end of each year from 1957 through 1972, where \(x\) is the number of years after 1957. Which of the following is the best interpretation of "\(f(5)\) is approximately equal to 243" in this context?
A
The value of the bank account is estimated to be approximately 5 dollars greater in 1962 than in 1957.
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B
The value of the bank account is estimated to be approximately 243 dollars in 1962.
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C
The value, in dollars, of the bank account is estimated to be approximately 5 times greater in 1962 than in 1957.
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D
The value of the bank account is estimated to increase by approximately 243 dollars every 5 years between 1957 and 1972.
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Graphing Calculator
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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