IXL | Write a linear equation: word problems

Read the following description of a relationship:

A video game awards

points for defeating a monster and

additional points for getting to the end of a stage.

Let

represent the number of monsters defeated in a stage and

represent the total number of points earned after finishing that stage.

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

and

m	p
7	36
8	40
9	44
10	48

ref_doc_title.

Learn with an example

question

Read the following description of a relationship:

Dan has already written

pages of his new young adult novel, and he will write more today. He expects to write

pages per hour.

Let

represent the number of hours spent writing and

represent the total number of pages written.

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

and

h	p
7	63
8	71
9	79
10	87

solution

Read the description of the relationship between the number of hours spent writing,

and the total number of pages written,

Dan has already written 7 pages of his new young adult novel, and he will write more today. He expects to write 8 pages per hour.

In this relationship,

is the input, and

is the output. So, you can find

by multiplying

by 8 and then adding 7 to the result.

Express this relationship as an equation.

You can use the table to check your answer.

h	p
7	63
8	71
9	79
10	87

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

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

column.

h	8 h + 7	p
7	8 ( 7 ) + 7 = 63	63
8	8 ( 8 ) + 7 = 71	71
9	8 ( 9 ) + 7 = 79	79
10	8 ( 10 ) + 7 = 87	87

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?

Teacher tools

Work it out

Not feeling ready yet? These can help:

Complete a table for a linear relationship: word problems

Lesson: Writing algebraic expressions

Excellent! You got that right!

Jumping to level 1 of 1

Excellent!