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Problem Solving And Data Analysis · Percentages And Unit Conversions

SAT Percentages And Unit Conversions Practice Questions (Free + Explanations) | Quiz 1

Question 12345 of 5

Question 1 of 5

A grocery store sells a 12-ounce bottle of juice for

Explanation

First find the price per ounce of the 12-ounce bottle: dollars per ounce. Then multiply by 20 ounces: . So the larger bottle should cost .

Concept summary

When two quantities are proportional, find the unit rate first and then scale it to the new amount.

Question 2 of 5

A solution contains salt by volume. If milliliters of this solution are used to make a mixture that contains milliliters of salt, which equation can be used to find ?

Explanation

Since the solution is salt, the amount of salt in milliliters is of , or . The mixture contains milliliters of salt, so set the salt amount equal to : . Therefore, the correct equation is .

Concept summary

To model a percent situation, use part percent whole, and convert the percent to a decimal before writing the equation.

Question 3 of 5

A recipe uses liter of juice. Which of the following is an equivalent amount in milliliters?

Explanation

Since liter equals milliliters, multiply by :

So liter is equivalent to milliliters.

Concept summary

To convert liters to milliliters, use the fact that liter milliliters, so multiply the number of liters by .

Question 4 of 5

A graph shows the relationship between distance and time for a cyclist riding at a constant speed. The line passes through the points and , where distance is measured in miles and time is measured in hours. At this rate, what percent of a mile does the cyclist travel in 1 hour?

Explanation

From the graph, the cyclist travels 12 miles in 3 hours, so the unit rate is miles per hour. Since 1 mile is 100% of a mile, 4 miles is of a mile. Therefore, the correct answer is .

Concept summary

To interpret a graph for a constant rate, find the slope or unit rate from two points, then convert that amount to a percent by comparing it to 1 whole unit.

Question 5 of 5

A school ordered juice for a field day. Orange juice made up of the total order, and the remaining liters were apple juice. How many liters of juice did the school order in all?

Explanation

If orange juice was of the total, then apple juice was the remaining . The problem says that this equals liters. Let be the total number of liters ordered. Then . Solving gives . So the school ordered liters in all.

Concept summary

When one part of a whole is given as a percent, translate the percent to a decimal and write an equation relating the part to the total.

Your results

0of 5 correct

Estimated SAT Math band

500-550

Illustrative range from this short quiz—not an official College Board score.

Adaptive practice, weak-area review, and timed tests live in the MCQsLearn app—pick up where you left off on your phone.

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Your results

1of 5 correct

Estimated SAT Math band

500-550

Illustrative range from this short quiz—not an official College Board score.

Adaptive practice, weak-area review, and timed tests live in the MCQsLearn app—pick up where you left off on your phone.

More SAT Math practice

Your results

2of 5 correct

Estimated SAT Math band

600-650

Illustrative range from this short quiz—not an official College Board score.

Adaptive practice, weak-area review, and timed tests live in the MCQsLearn app—pick up where you left off on your phone.

More SAT Math practice

Your results

3of 5 correct

Estimated SAT Math band

600-650

Illustrative range from this short quiz—not an official College Board score.

Adaptive practice, weak-area review, and timed tests live in the MCQsLearn app—pick up where you left off on your phone.

More SAT Math practice

Your results

4of 5 correct

Estimated SAT Math band

700+

Illustrative range from this short quiz—not an official College Board score.

Adaptive practice, weak-area review, and timed tests live in the MCQsLearn app—pick up where you left off on your phone.

More SAT Math practice

Your results

5of 5 correct

Estimated SAT Math band

700+

Illustrative range from this short quiz—not an official College Board score.

Adaptive practice, weak-area review, and timed tests live in the MCQsLearn app—pick up where you left off on your phone.

More SAT Math practice