IM Alg1.2.8 Lesson: Which Variable to Solve for? (Part1)

Author:GeoGebra Classroom Activities, IM Algebra 1, Geometry, Algebra 2

The table shows the relationship between the base length, b, and the area, A, of some parallelograms.

All the parallelograms have the same height. Base length is measured in inches, and area is measured in square inches.

Complete the table.

Decide whether each equation could represent the relationship between b and A. Be prepared to explain your reasoning.

Select all that apply

A
yes
B
no

Check my answer (3)

Select all that apply

A
yes
B
no

Check my answer (3)

Select all that apply

A
yes
B
no

Check my answer (3)

Select all that apply

A
yes
B
no

Check my answer (3)

After a parade, a group of volunteers is helping to pick up the trash along a 2-mile stretch of a road.

The group decides to divide the length of the road so that each volunteer is responsible for cleaning up equal-length sections.

Find the length of a road section for each volunteer if there are the following numbers of volunteers. Be prepared to explain or show your reasoning.

8 volunteers

10 volunteers

25 volunteers

36 volunteers

Write an equation that would make it easy to find , the length of a road section in miles for each volunteer, if there are volunteers.

Find the number of volunteers in the group if each volunteer cleans up a section of the following lengths. Be prepared to explain or show your reasoning.

0.4 mile

mile

0.125 mile

mile

Write an equation that would make it easy to find the number of volunteers, , if each volunteer cleans up a section that is miles.

Let's think about the graph of this equation:

Make a table of

pairs that will help you graph the equation. Make sure to include some negative numbers for

and some numbers that are not integers.

Plot the graph on the coordinate axes. You may need to find a few more points to plot to make the graph look smooth.

The coordinate plane provided is too small to show the whole graph. What do you think the graph looks like when is between 0 and ? Try some values of to test your idea.

What is the largest value that can ever be?

Tank A initially contained 124 liters of water. It is then filled with more water, at a constant rate of 9 liters per minute.

Tank A initially contained 124 liters of water. It is then filled with more water, at a constant rate of 9 liters per minute. How many liters of water are in Tank A after the following amounts of time have passed? 4 minutes

80 seconds

minutes

How many minutes have passed, , when Tank A contains the following amounts of water? 151 liters

191.5 liters

270.25 liters

liters

Tank B, which initially contained 80 liters of water, is being drained at a rate of 2.5 liters per minute. How many liters of water remain in the tank after the following amounts of time? 30 seconds

7 minutes

minutes

For how many minutes, , has the water been draining when Tank B contains the following amounts of water? 75 liters

32.5 liters

18 liters

liters

IM Alg1.2.8 Lesson: Which Variable to Solve for? (Part1)

The table shows the relationship between the base length, b, and the area, A, of some parallelograms.

Complete the table.

Decide whether each equation could represent the relationship between b and A. Be prepared to explain your reasoning.

After a parade, a group of volunteers is helping to pick up the trash along a 2-mile stretch of a road.

Let's think about the graph of this equation:

Plot the graph on the coordinate axes. You may need to find a few more points to plot to make the graph look smooth.

Tank A initially contained 124 liters of water. It is then filled with more water, at a constant rate of 9 liters per minute.

New Resources

Discover Resources

Discover Topics