7th Grade Math

418 Linear Functions

Chapter Study

Guide and Review

Be sure the following

Key Concepts are noted

in your Foldable.

Key Vocabulary

constant of variation

constant rate of change

direct variation

domain

function

function rule

function table

inverse variation

linear function

range

rate of change

slope

Key Concepts

Rates and Functions (Lesson 1)

• A function is a relationship that assigns exactly
  one output value for each input value.

Slope (Lesson 2)

• A rate of change is a rate that describes how one
  quantity changes in relation to another. The slope
  of a graph is the rate of change between any two
  points on a line.

Variation (Lesson 3)

• Direct variation

y

O x

1

2

3

4

5

6

7

8

12345678

y

_x is a constant.

• Inverse variation xy y

O x

1

2

3

4

5

6

7

8

12345678

is a constant.

Vocabulary Check

Choose the term from the list above that best

matches each phrase.

1. the rate of change between any two points
   on a line


2. the set of input values for a function


3. a relationship when corresponding x and
   y values have a constant product


4. the constant ratio


5. a relation in which each element of the
   input is paired with exactly one element
   of the output according to a specified rule


6. the set of output values for a function


7. a table used to organize the input
   numbers, output numbers, and the
   function rule


8. two variable quantities have a constant
   ratio


9. the rate of change in a linear relationship


10. the operation performed on the input of a
    function


11. rate that describes how one quantity
    changes in relation to another


12. graph of a straight line

Rates andFunctions Slope Variation

418_422_C07_SGR_895130.indd 418 12/31/09 4:35 PM