IXL | Write a two-variable equation

Read the following description of a relationship:

Each location of a chain restaurant employs

more waiters than cooks.

Let

represent the number of cooks and

represent the number of waiters.

This relationship can also be shown in a table. Complete the equation that represents the relationship between

and

c	w
5	10
6	11
7	12
8	13

ref_doc_title.

Learn with an example

question

Read the following description of a relationship:

When Liz is given a major assignment, she always finishes it

days before the due date.

Let

represent the number of days Liz is given for an assignment and

represent the number of days she takes to complete it.

This relationship can also be shown in a table. Complete the equation that represents the relationship between

and

g	f
5	1
6	2
7	3
8	4

–

solution

Read the description of the relationship between the number of days Liz is given for an assignment,

and the number of days she takes to complete it,

When Liz is given a major assignment, she always finishes it 4 days before the due date.

In this relationship,

is the input, and

is the output. So, you can find

by subtracting 4 from

Express this relationship as an equation.

–

You can use the table to check your answer.

g	f
5	1
6	2
7	3
8	4

In each row of the table, plug the value from the

column into the equation. See if you get the value in the

column.

g	g – 4	f
5	5 – 4 = 1	1
6	6 – 4 = 2	2
7	7 – 4 = 3	3
8	8 – 4 = 4	4

The values in the

–

column are the same as the values in the

column.

This is the equation for the relationship:

–

Looking for more? Try these:

Lesson: Writing algebraic expressions

$Confetti$

Excellent!

Now entering the Challenge Zone—are you ready?

Questions
answeredQuestions

Time
elapsedTime

hr	min	sec
00	00	04

SmartScore
out of 100
IXL's SmartScore is a dynamic measure of progress towards mastery, rather than a percentage grade. It tracks your skill level as you tackle progressively more difficult questions. Consistently answer questions correctly to reach excellence (90), or conquer the Challenge Zone to achieve mastery (100)! Learn more

Teacher tools

Work it out

Not feeling ready yet? These can help:

CC.9Write a two-variable equation from a table

Lesson: Writing algebraic expressions

Excellent! You got that right!

Jumping to level 1 of 1

Excellent!