SAT Math Flashcards - SAT Math
Card 0 of 41
Find range of 4, 10, 6, 12, 8.
Find range of 4, 10, 6, 12, 8.
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$12-4=8$.
$12-4=8$.
Find the x-intercepts of $y = (x - 1)(x - 5)$.
Find the x-intercepts of $y = (x - 1)(x - 5)$.
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$x = 1$ and $x = 5$.
$x = 1$ and $x = 5$.
Formula for x-intercept of a line given $y=mx+b$.
Formula for x-intercept of a line given $y=mx+b$.
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Set $y=0$ ⇒ 0 = mx + b ⇒ $x=-\frac{b}{m}$.
Set $y=0$ ⇒ 0 = mx + b ⇒ $x=-\frac{b}{m}$.
Given $f(x) = \frac{1}{x - 2}$, what is the domain?
Given $f(x) = \frac{1}{x - 2}$, what is the domain?
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All real $x$ except $x = 2$.
All real $x$ except $x = 2$.
Given $f(x) = x^2 - 9$, what is the domain?
Given $f(x) = x^2 - 9$, what is the domain?
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All real numbers.
All real numbers.
What are the zeros of $y = (x - 2)(x + 5)$?
What are the zeros of $y = (x - 2)(x + 5)$?
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$x = 2$ and $x = -5$.
$x = 2$ and $x = -5$.
What is the domain of a function?
What is the domain of a function?
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All possible input values ($x$) for which the function is defined.
All possible input values ($x$) for which the function is defined.
What is the range of a function?
What is the range of a function?
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All possible output values ($y$) of the function.
All possible output values ($y$) of the function.
Convert 5 kilograms to grams.
Convert 5 kilograms to grams.
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5000 g.
5000 g.
Definition of a parallelogram.
Definition of a parallelogram.
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A quadrilateral with both pairs of opposite sides parallel.
A quadrilateral with both pairs of opposite sides parallel.
Effect of $-k$ in $y = f(x) - k$.
Effect of $-k$ in $y = f(x) - k$.
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Shifts graph down by $k$ units.
Shifts graph down by $k$ units.
Effect of $(x - h)$ in $y = f(x - h)$.
Effect of $(x - h)$ in $y = f(x - h)$.
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Shifts graph right by $h$ units.
Shifts graph right by $h$ units.
Effect of $(x + h)$ in $y = f(x + h)$.
Effect of $(x + h)$ in $y = f(x + h)$.
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Shifts graph left by $h$ units.
Shifts graph left by $h$ units.
Effect of $+k$ in $y = f(x) + k$.
Effect of $+k$ in $y = f(x) + k$.
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Shifts graph up by $k$ units.
Shifts graph up by $k$ units.
Effect of $y = -f(x)$.
Effect of $y = -f(x)$.
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Reflects graph across x-axis.
Reflects graph across x-axis.
Effect of $y = f(-x)$.
Effect of $y = f(-x)$.
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Reflects graph across y-axis.
Reflects graph across y-axis.
Formula for area of a parallelogram.
Formula for area of a parallelogram.
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$A = bh$.
$A = bh$.
General form of an exponential function.
General form of an exponential function.
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$y = a b^x$.
$y = a b^x$.
How does the rate of change of an exponential function behave?
How does the rate of change of an exponential function behave?
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It changes proportionally to the function’s value.
It changes proportionally to the function’s value.
If $f(x) = |x - 3|$, find all $x$ where $f(x) = 0$.
If $f(x) = |x - 3|$, find all $x$ where $f(x) = 0$.
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$x = 3$.
$x = 3$.
If $f(x) = |x - 4|$, find $f(1)$.
If $f(x) = |x - 4|$, find $f(1)$.
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$|1 - 4| = 3$.
$|1 - 4| = 3$.
If $f(x) = |x - 5|$, what is $f(2)$?
If $f(x) = |x - 5|$, what is $f(2)$?
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3
3
If $f(x) = |x| + 3$, what is the range?
If $f(x) = |x| + 3$, what is the range?
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$y \ge 3$.
$y \ge 3$.
If $f(x) = 120(0.8)^x$, what does 0.8 represent?
If $f(x) = 120(0.8)^x$, what does 0.8 represent?
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A decay rate of 20% per unit increase in $x$.
A decay rate of 20% per unit increase in $x$.
If $f(x) = 2^x$ and $g(x) = 2^{x+1}$, how are the graphs related?
If $f(x) = 2^x$ and $g(x) = 2^{x+1}$, how are the graphs related?
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$g(x)$ is the graph of $f(x)$ shifted left by 1 unit.
$g(x)$ is the graph of $f(x)$ shifted left by 1 unit.
If $f(x) = 200(1.05)^x$, what does 1.05 represent?
If $f(x) = 200(1.05)^x$, what does 1.05 represent?
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A 5% growth factor per unit increase in $x$.
A 5% growth factor per unit increase in $x$.
If $f(x) = 2x + 3$, find $f(4)$.
If $f(x) = 2x + 3$, find $f(4)$.
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$f(4) = 2(4) + 3 = 11$.
$f(4) = 2(4) + 3 = 11$.
If $f(x) = 2x^2 + 3$, find $f(0)$ and $f(2)$.
If $f(x) = 2x^2 + 3$, find $f(0)$ and $f(2)$.
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$f(0) = 3$, $f(2) = 11$.
$f(0) = 3$, $f(2) = 11$.
If $f(x) = 3x^2 - 2x + 5$, find $f(-2)$.
If $f(x) = 3x^2 - 2x + 5$, find $f(-2)$.
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$3(4) - 2(-2) + 5 = 12 + 4 + 5 = 21$.
$3(4) - 2(-2) + 5 = 12 + 4 + 5 = 21$.
If $f(x) = 4x - 7$, find $x$ when $f(x) = 9$.
If $f(x) = 4x - 7$, find $x$ when $f(x) = 9$.
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$9 = 4x - 7 \Rightarrow 4x = 16 \Rightarrow x = 4$.
$9 = 4x - 7 \Rightarrow 4x = 16 \Rightarrow x = 4$.
If $f(x) = x^2 - 4$, for what $x$ is $f(x) = 5$?
If $f(x) = x^2 - 4$, for what $x$ is $f(x) = 5$?
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$x^2 - 4 = 5 \Rightarrow x^2 = 9 \Rightarrow x = \pm3$.
$x^2 - 4 = 5 \Rightarrow x^2 = 9 \Rightarrow x = \pm3$.
If $f(x) = x^2 - 5x$, find $f(3)$.
If $f(x) = x^2 - 5x$, find $f(3)$.
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$3^2 - 5(3) = 9 - 15 = -6$.
$3^2 - 5(3) = 9 - 15 = -6$.
If $f(x) = x^2 + 2x$, compute $f(a + 1)$.
If $f(x) = x^2 + 2x$, compute $f(a + 1)$.
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$(a + 1)^2 + 2(a + 1) = a^2 + 4a + 3$.
$(a + 1)^2 + 2(a + 1) = a^2 + 4a + 3$.
If $f(x) = x^2$, what is $f(-x)$?
If $f(x) = x^2$, what is $f(-x)$?
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$(-x)^2 = x^2$, so the function is even.
$(-x)^2 = x^2$, so the function is even.
If $f(x) = x^3$, what is $f(-x)$?
If $f(x) = x^3$, what is $f(-x)$?
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$(-x)^3 = -x^3$, so the function is odd.
$(-x)^3 = -x^3$, so the function is odd.
If $y$ varies inversely with $x$ and $y=10$ when $x=3$, find $y$ when $x=6$.
If $y$ varies inversely with $x$ and $y=10$ when $x=3$, find $y$ when $x=6$.
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$y=5$.
$y=5$.
What does $f(a + h) - f(a)$ represent?
What does $f(a + h) - f(a)$ represent?
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The change in function value as $x$ increases by $h$.
The change in function value as $x$ increases by $h$.
What does $f(x)$ represent?
What does $f(x)$ represent?
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The output (value of the function) when the input is $x$.
The output (value of the function) when the input is $x$.
What is the inverse of a function, conceptually?
What is the inverse of a function, conceptually?
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It reverses the input–output pairs of the original function.
It reverses the input–output pairs of the original function.
When does an exponential function show decay?
When does an exponential function show decay?
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When $0 < b < 1$.
When $0 < b < 1$.
When does an exponential function show growth?
When does an exponential function show growth?
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When $b > 1$.
When $b > 1$.