Lesson 6: Rates Ration and Proportions

Question 1

What is a ratio?

Answer 1

A comparison of two like quantities by division

Question 2

A ratio can be expressed with a ______ or ______

Answer 2

Colon

As a fraction

Question 3

The ________ in which the ratio is written is _______

Answer 3

Order

Important

Question 4

Both terms of a ratio must have the same _____

Answer 4

Unit

Question 5

What is a type of ratio that compares two unlike quantities?

Answer 5

Rate

Question 6

What is a Unit Rate?

Answer 6

A rate in which the denominator is 1 unit.

Question 7

For the cost of an Item, unit rate is called?

Answer 7

Unit Cost

Question 8

To find a unit rate you must ______________________________

Answer 8

divide by the number of the quantity that follows the word per

Question 9

A proportion is an

Answer 9

equation that state that two ratios are equal

Question 10

In the Proportion A:B = C:D (A/B = C/D) the terms A and D are

Answer 10

extremes

Question 11

In the Proportion A:B = C:D (A/B=C/D) the terms B and C are

Answer 11

Means

Question 12

In proportions, the product of the means and the product of the extremes are called

Answer 12

Cross Products

Question 13

When one term in a proportion is not know one must,

Answer 13

1. use a variable in its place

2. Cross multiply and solve for the variable

Question 14

Finding a value of a variable in a proportion is called?

Answer 14

solving the proportion

Question 15

a proportion is true when?

Answer 15

1. Cross products are equal

2. both ratios of the proportion are the same when written in simplest form

Question 16

Two variables X and Y, are directly ___________ if the ratio of Y to X is a non zero ______

Answer 16

Proportional

constant

Question 17

Directly Proportional Ratios can be express by the equation

Answer 17

Y/X = K or Y=K•X where K is a nonzero number

Question 18

In the equation Y/X = K, K is called _____ or ______

Answer 18

the constant of variation

Constant of proportionality

Question 19

What is the equation for Directly Proportional?

Answer 19

X1/Y1=X2/Y2 , which become (x1)(y2)=(x2)(y1)

Question 20

When two variables, X and Y, are ___________ the product of X and Y is a nonzero _______

Answer 20

Inversely proportional
Constant

X•Y=K or Y=K/X

Question 21

The equation for Inversely proportional is

Answer 21

X1/Y2=X2/Y1 which becomes (X1)(Y1)=(X2)(Y2)

Question 22

Direct Proportion means

Answer 22

that two quantities increase or decrease in the same ratio

Question 23

Inversely proportion means

Answer 23

a relation between two quantities such that one increases in proportion as the other decreases.