Ratios & Proportions

Question 1

What are the three ways to express a ratio

Answer 1

To
Use a colon
As a fraction

Question 2

Is order important for ratios?

Answer 2

Yes, always express the ratios in the order in which they were given

Question 3

How should you simplify a ratio w two terms

Answer 3

Put it in the form of a fraction

Question 4

What should you do to simplify a ratio that contains 3 or more terms?

Answer 4

Factor it

Question 5

How do you simplify a ratio w 3 or more terms and one or more of those terms are fractions

Answer 5

Multiply each term by the product of the denominators.

I.e. 5/6 to 2/3 to 1/2

Multiply by 36

Answer is 30:24:28 which is 5:4:3

Question 6

How do you simplify a ratio with 3 or more terms and one or more of the terms contains a decimal ?

Answer 6

Multiply the ratio by a factor of ten to get rid of the decimals

I.e. 3 to .09 to 0.6

Multiply it by 100

= 300 to 9 to 60

Question 7

What is a proportion?

Answer 7

Any equation that states two ratios are equal

Question 8

If a problem states that a ratio remains constant it can be solved how?

Answer 8

With a proportion

Question 9

What is an inverse proportion?

Answer 9

Any relationship in which one quantity increases while another decreases

Question 10

How do solve inverse proportions?

Answer 10

Set the products of two groups equal to one another

Question 11

Questions about workers working non stop at a constant and uniform rate and then adding more is what type of proportion?

Answer 11

Inverse

the amount if time should decrease as more workers are added

Workers x hours = workers x hours

Question 12

What are the two types of ratios

Answer 12

Part to whole

Part to part

Question 13

What is a part to whole ratio?

Answer 13

They express the relationship between an entire group and part of that group

Subset

Question 14

What is a part to part ratio?

Answer 14

They express the relationship between groups that do not overlap

Each group represents an independent segment of the entire class there is no overlap

Question 15

If you have a part to whole ratio think….

Answer 15

Proportion

Part / whole = part/whole

Question 16

What should you use for part to part ratios?

Answer 16

The unknown multiplier

I.e. 4x to 5x

Question 17

How can you identify an altered ratio?

Answer 17

They always give an initial ratio, a final ratio, and one or more changes

Question 18

Altered ratio problems always involve … relationships

Answer 18

Part to part

Question 19

Alteration problems that involve part to whole relationships are what type of problems?

Answer 19

Altered percent problems

Question 20

What do you call two ratios that share a common element

Answer 20

Overlapping ratio

Question 21

How do you solve overlapping ratios?

Answer 21

Determine the least common multiple of the overlapped element