Rates - SAT Math
Card 1 of 9
Calculate the rate: 150 miles in 3 hours.
Calculate the rate: 150 miles in 3 hours.
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50 mph. Divide total distance by total time: $150 ÷ 3 = 50$.
50 mph. Divide total distance by total time: $150 ÷ 3 = 50$.
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If a car travels at 60 mph, how far does it travel in 1.5 hours?
If a car travels at 60 mph, how far does it travel in 1.5 hours?
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90 miles. Multiply rate by time: $60 × 1.5 = 90$.
90 miles. Multiply rate by time: $60 × 1.5 = 90$.
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What is the rate if 240 units are produced in 8 hours?
What is the rate if 240 units are produced in 8 hours?
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30 units per hour. Divide total units by total time: $240 ÷ 8 = 30$.
30 units per hour. Divide total units by total time: $240 ÷ 8 = 30$.
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What is the conversion factor from hours to seconds?
What is the conversion factor from hours to seconds?
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1 hour = 3600 seconds. 60 minutes × 60 seconds per minute = 3600 seconds.
1 hour = 3600 seconds. 60 minutes × 60 seconds per minute = 3600 seconds.
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What is the value of $x$ if $5:x = 2:3$?
What is the value of $x$ if $5:x = 2:3$?
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$x = 7.5$. Cross multiply: $5 \times 3 = x \times 2$, so $15 = 2x$.
$x = 7.5$. Cross multiply: $5 \times 3 = x \times 2$, so $15 = 2x$.
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Find the missing value in the proportion $\frac{9}{x} = \frac{3}{5}$.
Find the missing value in the proportion $\frac{9}{x} = \frac{3}{5}$.
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$x = 15$. Cross multiply: $9 \times 5 = 3 \times x$, so $45 = 3x$.
$x = 15$. Cross multiply: $9 \times 5 = 3 \times x$, so $45 = 3x$.
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Identify the missing term: $\frac{3}{4} = \frac{x}{8}$.
Identify the missing term: $\frac{3}{4} = \frac{x}{8}$.
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$x = 6$. Cross multiply: $3 \times 8 = 4 \times x$, so $24 = 4x$.
$x = 6$. Cross multiply: $3 \times 8 = 4 \times x$, so $24 = 4x$.
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What is the definition of a ratio?
What is the definition of a ratio?
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A comparison of two quantities by division. Shows how many times one quantity contains another.
A comparison of two quantities by division. Shows how many times one quantity contains another.
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State the formula for a proportion.
State the formula for a proportion.
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$\frac{a}{b} = \frac{c}{d}$, where $a, b, c, d$ are quantities. States that two ratios are equal to each other.
$\frac{a}{b} = \frac{c}{d}$, where $a, b, c, d$ are quantities. States that two ratios are equal to each other.
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