Word Problems: Making Tables and Graphing Variables

Word Problems: Making Tables and Graphing Variables

By Jennifer Mackie

Here's the Problem

​How many dogs can you have??

Fred's family already has 4 dogs. They adopt more dogs.

​

What's the independent variable?​

The # of newly adopted dogs​

​

CAUSE

Here's the Problem

​How many dogs can you have??

Fred's family already has 4 dogs. They adopt more dogs.

​

What's the dependent variable?​

The total dogs the family has

​

EFFECT

Here's the Problem

​How many dogs can you have??

Fred's family already has 4 dogs. They adopt more dogs.

​

What's the equation?​

​

​

Multiple Choice

How do you write an ordered pair?

• (X,X)
• (Y,X)
• (X,Y)
• (Y,Y)

Multiple Choice

In the ordered pair (4,9), which number is the y-coordinate?

• 4
• 9
• neither
• both

Multiple Choice

What is coordinate L?

• (6,6)
• (2,5)
• (2,3)
• (5,2)

Multiple Choice

In what order do you follow ordered pairs?

• vertex first then y

• y first then x

• none of these

• x first then y

Multiple Choice

What is the ordered pair?

• (8, 2)
• (2,7)
• (2,8)
• (8,3)

Create x and y values

using a TABLE

​x	​x	​y
​0 (no new dogs)	0 + 4 = 4​	4​ (4 total dogs)
​1 (1 new dog)	1 + 4 = 5	​5 (5 total dogs)
​2	2 + 4 = 6​​	​6
3​	3 + 4 = 7​​	7​
​4	4 + 4 = 8	8​

(0,4)

(1,5)

(2,6)

(3,7)

(4,8).

​

​Fred's family already has 4 dogs. They adopt more dogs.

Graph using coordinate pairs from your table.

​Number of new dogs

​Total Dogs

(0,4)

(1,5)

(2,6)

(3,7)

(4,8).

​

​Fred's family already has 4 dogs. They adopt more dogs.

Graph using coordinate pairs from your table.

​Number of new dogs

​Total Dogs

(0,4)

(1,5)

(2,6)

(3,7)

(4,8).

​

​Fred's family already has 4 dogs. They adopt more dogs.

Graph using coordinate pairs from your table.

​Number of new dogs

​Total Dogs

(0,4)

(1,5)

(2,6)

(3,7)

(4,8).

​

​Fred's family already has 4 dogs. They adopt more dogs.

Graph using coordinate pairs from your table.

​Number of new dogs

​Total Dogs

(0,4)

(1,5)

(2,6)

(3,7)

(4,8).

​

​Fred's family already has 4 dogs. They adopt more dogs.

Graph using coordinate pairs from your table.

​Number of new dogs

​Total Dogs

Multiple Choice

What variable represents the independent variable?

• p

• d

Multiple Choice

What is the equation that represents the relationship in the table?

• p + 3 = d
• d + 3 = p
• d = p + 3
• p = d + 3

Multiple Choice

What equation can be used to represent the relationship between the independent variable (x) and dependent variable (y)?

• y = x + 4

• y = 3x

• x = y + 4

• x = 3y

Multiple Choice

Write an equation for the scenario:

Ahtziri earns $15 each hour she tutors a student in spanish.

• Y = 15x

• 15

• 15x

• x = 15y

Multiple Choice

Which equation matches the table? 

• y = x + 4
• y = 5x
• y = x - 4
• y = x + 16

Multiple Choice

Which representation best describes the relationship between all the values of x and y shown in the table?

• y is 50 times x

• x = 50 + y

• Jemaine started by doing fifty push-ups and then increased the number of push-ups by one each day.

Multiple Choice

• y = 3x

• y = 3 + x

Multiple Choice

• Line A

• Line B