Ratios, Unit Rates, Proportions

Ratios, Unit Rates, Proportions

Assessment

Flashcard

Mathematics

6th Grade

Hard

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed as 'a to b' or a:b.

2.

FLASHCARD QUESTION

Front

How do you write a ratio as a fraction?

Back

To write a ratio as a fraction, place the first quantity over the second quantity. For example, the ratio 5 to 3 can be written as 5/3.

3.

FLASHCARD QUESTION

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit of another quantity.

4.

FLASHCARD QUESTION

Front

How do you find the unit rate from a total distance and total gallons of gas?

Back

To find the unit rate, divide the total distance by the total gallons of gas. For example, if 92 miles are driven using 4 gallons, the unit rate is 92/4 = 23 miles per gallon.

5.

FLASHCARD QUESTION

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal. For example, if a/b = c/d, then a, b, c, and d are in proportion.

6.

FLASHCARD QUESTION

Front

How can you solve a proportion?

Back

To solve a proportion, cross-multiply the terms and then solve for the unknown variable. For example, if 5/3 = x/15, then 5*15 = 3*x.

7.

FLASHCARD QUESTION

Front

What does it mean to simplify a ratio?

Back

Simplifying a ratio means reducing it to its simplest form by dividing both quantities by their greatest common factor.

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