Ratios & Proportions - SAT Math
Card 0 of 17
A map has a scale of 1 inch : 10 miles. How many miles does 3 inches represent?
A map has a scale of 1 inch : 10 miles. How many miles does 3 inches represent?
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30 miles.
30 miles.
Definition of a proportion.
Definition of a proportion.
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An equation stating that two ratios are equal.
An equation stating that two ratios are equal.
Definition of a ratio.
Definition of a ratio.
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A comparison of two quantities by division.
A comparison of two quantities by division.
Definition of constant of proportionality.
Definition of constant of proportionality.
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The constant ratio $k$ in $y = kx$.
The constant ratio $k$ in $y = kx$.
Definition of directly proportional relationship.
Definition of directly proportional relationship.
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When one quantity increases, the other increases at a constant ratio ($y = kx$).
When one quantity increases, the other increases at a constant ratio ($y = kx$).
Definition of inverse proportionality.
Definition of inverse proportionality.
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When one quantity increases, the other decreases so that $xy = k$.
When one quantity increases, the other decreases so that $xy = k$.
If $y = \frac{12}{x}$, what is the constant of proportionality?
If $y = \frac{12}{x}$, what is the constant of proportionality?
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12
12
If $y = 4x$, what is the constant of proportionality?
If $y = 4x$, what is the constant of proportionality?
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4
4
If $y$ is directly proportional to $x$, and $x$ triples, what happens to $y$?
If $y$ is directly proportional to $x$, and $x$ triples, what happens to $y$?
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It triples.
It triples.
If $y$ is inversely proportional to $x$, and $x$ triples, what happens to $y$?
If $y$ is inversely proportional to $x$, and $x$ triples, what happens to $y$?
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It becomes one-third as large.
It becomes one-third as large.
Rewrite $\sqrt[3]{x^5}$ using rational exponents.
Rewrite $\sqrt[3]{x^5}$ using rational exponents.
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$x^{5/3}$.
$x^{5/3}$.
Simplify the ratio 12:18.
Simplify the ratio 12:18.
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2:3.
2:3.
Special triangle: ratio for $30^{\circ}$–$60^{\circ}$–$90^{\circ}$.
Special triangle: ratio for $30^{\circ}$–$60^{\circ}$–$90^{\circ}$.
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$1:\sqrt{3}:2$ (short leg : long leg : hypotenuse).
$1:\sqrt{3}:2$ (short leg : long leg : hypotenuse).
Special triangle: ratio for $45^{\circ}$–$45^{\circ}$–$90^{\circ}$.
Special triangle: ratio for $45^{\circ}$–$45^{\circ}$–$90^{\circ}$.
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$1:1:\sqrt{2}$.
$1:1:\sqrt{2}$.
What is the ratio of part to whole if 5 students out of 20 like math?
What is the ratio of part to whole if 5 students out of 20 like math?
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5:20 or 1:4.
5:20 or 1:4.
What property is used to solve proportions?
What property is used to solve proportions?
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Cross-multiplication.
Cross-multiplication.
Why are percentage-based graphs sometimes misleading?
Why are percentage-based graphs sometimes misleading?
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Changing the scale or starting axis at a non-zero value exaggerates differences.
Changing the scale or starting axis at a non-zero value exaggerates differences.