DRHS Algebra - Ratio and Proportion Flashcards

Questions and Answers

What is the ratio 16 to 40 written as a fraction in lowest terms?

2/5

What is the ratio 15 : 75 in lowest terms?

1 : 5

What is the ratio 175/250 written in word form and in lowest terms?

7 to 10

What is the ratio of dimes to pennies in a jar that contains 11 pennies and 8 dimes?

8 to 11 Signup and view all the answers

What is the ratio of roses to the total number of flowers in a vase containing 12 tulips and 20 roses?

5 to 8 Signup and view all the answers

Which rate represents Keisha walking 12 miles in 3 hours?

12 miles/3 hours Signup and view all the answers

Which rate represents Daniel reading 3 books in 2.5 weeks?

3 books/2.5 weeks Signup and view all the answers

What unit rate represents the 48 ounces in 3 bottles?

16 ounces per bottle Signup and view all the answers

What unit rate represents a printer printing 70 pages in 5 minutes?

14 pages per minute Signup and view all the answers

What unit rate describes a plane traveling 3300 miles in 6 hours?

550 miles per hour Signup and view all the answers

Which ratio is equivalent to 3 : 11?

15 : 55 Signup and view all the answers

Which ratio is equivalent to 10 : 85?

20/170 Signup and view all the answers

Which ratio is NOT equivalent to 24/36?

3/4 Signup and view all the answers

Which ratio is proportional to 3/5?

12/20 Signup and view all the answers

Which pair of ratios is proportional?

7/14 and 20/40 Signup and view all the answers

What is the solution to the proportion n/18 = 5/9?

n = 10 Signup and view all the answers

What is the solution to the proportion 6/15 = x/20?

x = 8 Signup and view all the answers

What is the solution to the proportion 3/m = 12/15?

m = 3.75 Signup and view all the answers

How much does it cost to buy 5 stamps if twenty stamps cost $8.40?

$2.10 Signup and view all the answers

How many cups of flour are needed to make 6 servings if a recipe calls for 3 cups for 8 servings?

2.25 cups Signup and view all the answers

What is 3/5 written as a decimal?

0.6 Signup and view all the answers

What is 0.28 written as a fraction in simplest form?

7/25 Signup and view all the answers

What is 5.61 written as a percent?

561% Signup and view all the answers

What is 82.4% written as a decimal?

0.824 Signup and view all the answers

What is 0.32% written as a decimal?

0.0032 Signup and view all the answers

What is 4/5 written as a percent?

80% Signup and view all the answers

To the nearest tenth of a percent, what is 3/11 written as a percent?

27.3% Signup and view all the answers

What is 3.25% written as a fraction in lowest terms?

13/400 Signup and view all the answers

What fraction of people prefer a certain brand of toothpaste if a survey showed 62% prefer it?

31/50 Signup and view all the answers

What is 2.3% written as a decimal?

0.023 Signup and view all the answers

What is 28% of 75?

21 Signup and view all the answers

Twenty-two is what percent of 55?

40% Signup and view all the answers

Forty-five is 30% of what number?

150 Signup and view all the answers

Which proportion can be used to find the amount of tax Ben will pay if he bought a camera for $90 and the tax rate is 6%?

x/90 = 6/100 Signup and view all the answers

What percent of Lee's 40 e-mails were from her friend Cara if 8 were from her?

20% Signup and view all the answers

What is the percent of increase from 50 to 90?

80% Signup and view all the answers

What is the percent of decrease from 110 to 77?

30% Signup and view all the answers

What is the percent of decrease in the number of cars at a dealership that dropped from 64 to 48?

25% Signup and view all the answers

Study Notes

Ratios

The ratio of 16 to 40 simplified is 2/5, with a greatest common factor (GCF) of 8.
The ratio 15:75 reduces to 1:5, using a GCF of 15.
Written as words, the ratio 175/250 is 7 to 10, with a GCF of 25.
A jar with 11 pennies and 8 dimes has a ratio of dimes to pennies as 8 to 11.
In a vase with 12 tulips and 20 roses, the ratio of roses to the total (32 flowers) is 5 to 8.

Unit Rates

Keisha's walking rate is 12 miles in 3 hours (4 miles/hour).
Daniel read 3 books in 2.5 weeks, yielding a rate of 3 books/2.5 weeks.
48 ounces in 3 bottles results in a unit rate of 16 ounces per bottle.
A printer’s output of 70 pages in 5 minutes equates to 14 pages per minute.
A plane's speed is 550 miles per hour after traveling 3300 miles in 6 hours.

Equivalent and Proportional Ratios

An equivalent ratio to 3:11 is 15:55, with a GCF of 5.
For 10:85, an equivalent form is 20/170, with a GCF of 2.
The ratio 24/36 is not equivalent to 3/4.
The ratio 12/20 is proportional to 3/5, with a GCF of 4.
Ratios 7/14 and 20/40 are proportional to each other.

Solving Proportions

For the proportion n/18 = 5/9, the solution is n = 10.
In the proportion 6/15 = x/20, solving gives x = 8.
The proportion 3/m = 12/15 leads to m = 3.75.

Percent and Cost Calculations

The cost for 5 stamps, given that twenty stamps cost $8.40, is $2.10.
A pastry recipe using 3 cups flour for 8 servings requires 2.25 cups for 6 servings.

Converting between Decimal, Fraction, and Percent

3/5 is expressed as the decimal 0.6.
The decimal 0.28 simplifies to the fraction 7/25.
Converting 5.61 gives 561% as a percent.
82.4% written as a decimal is 0.824.
0.32% is 0.0032 when converted to a decimal.
The fraction 4/5 is represented as 80% when converted.

Percentages from Fractions

3/11 translates to approximately 27.3% when expressed as a percent.
The decimal equivalent of 3.25% in fraction form is 13/400.
A survey indicates that 62% prefer a specific toothpaste brand, simplifying to 31/50.
Converting 2.3% results in a decimal of 0.023.

Finding Percentages and Increases/Decreases

28% of 75 equals 21.
Twenty-two is 40% of 55.
45 is 30% of 150.
The proportion x/90 = 6/100 calculates the tax on a $90 camera at a 6% tax rate.
Out of Lee’s 40 emails, 20% (8 emails) were from Cara.

Percent of Change

The percent increase from 50 to 90 is 80%.
The percent decrease from 110 to 77 is 30%.
A drop in cars from 64 to 48 signifies a percent decrease of 25%.

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Description

Test your understanding of ratios, proportions, and percentages with these flashcards designed for DRHS Algebra. Each card presents a scenario requiring you to simplify ratios or express them in different forms. Perfect for quick review or study sessions!