Independent and Dependent Variables
Written Algebraic Relationships
Algebraic Relationships in Graphs
Algebraic Relationships in Tables
Code Word For...
100

This is the variable that changes as a result

What is the Dependent Variable?

100

Wayne is determined to become a concert pianist. Every week he practices 9 more hours than his piano teacher assigns.

Let a represent the number of hours of practice assigned and c represent the number of hours of practice completed.

What is c=a+9

100

The solution to my equation is called this when plotted on a graph.

What is an ordered pair?

What is a coordinate?

100

Complete the table using the equation 

b=a+2.

a: 1 2 3 4

b:    4 5 6


What is b=2?

100

"Split evenly" is code for this operation.

What is division?

200

This variable happens first and causes the dependent variable to change

What is the independent variable?

200

To build more muscle, Carter does 7 push-ups each day.

Let d represent the number of days and p

 represent the total number of push-ups.

What is p =7d?

200

My independent quantities are plotted on this axis.

What is the x-axis?

200

Complete the table using the equation 

c=h+6.

h: 1 2 3 4

c: 7 8    10

What is c=9?

200

"Older than" is code for this operation.

What is addition?

300

The manager of a restaurant decides how many servers to schedule for a particular night based upon how many reservations were made for that night.

s = the number of servers scheduled to work
r = the number of reservations

Which of the variables is independent?

What is r, the number of reservations?

300

An airline's new plane carries 14 passengers per flight.

Let f represent the number of flights and p

 represent the total number of passengers.

What is p=14f?

300

My dependent quantities are plotted on this axis.

What is the y-axis?

300

Complete the table using the equation 

w=c+8.

c:  1 2  3  4 

w: 9 10    12

What is w=11?

300

"spent" is code word for this operation?

What is subtraction?

400

The Randolph farm sells eggs to local restaurants. The number of hens on the farm varies from month to month. The number of eggs that the farm is able to produce in a month depends on the number of hens on the farm.

g = the number of eggs produced by the farm in a month
h = the number of hens on the farm

Which of these values is the dependent variable?

What is g, the number of eggs?

400

An electronics store ships 20 computers in each delivery truck.

Let t represent the number of delivery trucks and c

 represent the total number of computers shipped.

What is t =20c?

400

The ordered pair for this set of data would be this.

X: 3

y: 5

What is (3,5)?

400

Complete the table using the equation 

f=d–1.

d: 10 9 8 7 6

f:  9     7 6 5

What is f=8?

400

"each" is code word for this operation.

What is multiplication?

500

A school in Brookfield is having a choir concert. The duration of the concert is determined by the number of songs performed.

d = the duration of the concert
s = the number of songs performed

Which of the variables is independent?

What is s, the number of songs?

500

Zack is a dentist and has 9 appointments every day.

Let d represent the number of days and 

a represent the total number of appointments.

What is a =9d?

500

In the ordered pair (5,2) this value represents the dependent variable.

What is 2?

500

Complete the table for the equation:

y = x/5

x: 15  10  5  1

y:  3         1  (1/5)

What is y=2?

500

"Total" can be a code word for these operations.

What are addition and multiplication?