Ratios, Rates, & Proportions - SAT Math
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Definition of a ratio.
Definition of a ratio.
A comparison of two quantities by division.
A comparison of two quantities by division.
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Simplify the ratio 12:18.
Simplify the ratio 12:18.
2:3.
2:3.
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If $a:b = 3:5$, what is $\frac{a}{b}$?
If $a:b = 3:5$, what is $\frac{a}{b}$?
$\frac{3}{5}$.
$\frac{3}{5}$.
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Definition of a proportion.
Definition of a proportion.
An equation stating that two ratios are equal.
An equation stating that two ratios are equal.
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What property is used to solve proportions?
What property is used to solve proportions?
Cross-multiplication.
Cross-multiplication.
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Solve for $x$: $\frac{2}{5} = \frac{x}{15}$.
Solve for $x$: $\frac{2}{5} = \frac{x}{15}$.
$x = 6$.
$x = 6$.
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Solve for $x$: $\frac{3}{x} = \frac{6}{12}$.
Solve for $x$: $\frac{3}{x} = \frac{6}{12}$.
$x = 6$.
$x = 6$.
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If $a:b = 2:3$ and $b:c = 4:5$, find $a:c$.
If $a:b = 2:3$ and $b:c = 4:5$, find $a:c$.
$a:c = 8:15$.
$a:c = 8:15$.
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If $a:b = 3:4$, what is $a:b:c$ when $c=8$?
If $a:b = 3:4$, what is $a:b:c$ when $c=8$?
$a:b:c = 6:8:8$.
$a:b:c = 6:8:8$.
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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?
5:20 or 1:4.
5:20 or 1:4.
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Definition of a rate.
Definition of a rate.
A ratio comparing two quantities with different units.
A ratio comparing two quantities with different units.
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Definition of unit rate.
Definition of unit rate.
A rate with a denominator of 1.
A rate with a denominator of 1.
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If 120 miles are driven in 3 hours, what is the unit rate?
If 120 miles are driven in 3 hours, what is the unit rate?
40 miles per hour.
40 miles per hour.
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If 8 pencils cost $2, what is the cost per pencil?
If 8 pencils cost $2, what is the cost per pencil?
$0.25$ per pencil.
$0.25$ per pencil.
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If a printer prints 300 pages in 10 minutes, find the rate per minute.
If a printer prints 300 pages in 10 minutes, find the rate per minute.
30 pages per minute.
30 pages per minute.
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If 5 workers complete 15 tasks, how many tasks per worker?
If 5 workers complete 15 tasks, how many tasks per worker?
3 tasks per worker.
3 tasks per worker.
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If speed = distance/time, find distance when speed = 50 mph and time = 4 hours.
If speed = distance/time, find distance when speed = 50 mph and time = 4 hours.
200 miles.
200 miles.
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If a recipe uses 2 cups sugar for 5 cups flour, how much sugar for 15 cups flour?
If a recipe uses 2 cups sugar for 5 cups flour, how much sugar for 15 cups flour?
6 cups sugar.
6 cups sugar.
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A car travels 180 miles in 3 hours. What is the speed?
A car travels 180 miles in 3 hours. What is the speed?
60 mph.
60 mph.
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If a train travels 240 miles in 4 hours, find speed in km/h (1 mile ≈ 1.6 km).
If a train travels 240 miles in 4 hours, find speed in km/h (1 mile ≈ 1.6 km).
$240\times1.6/4=96$ km/h.
$240\times1.6/4=96$ km/h.
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