Using Equations to Solve Problems: IM 7.2.6
[url=https://im.kendallhunt.com/MS/teachers/2/2/6/preparation.html]“Using Equations to Solve Problems”[/url] from IM Grade 7 by [url=https://www.geogebra.org/m/gus8ffvr]Open Up Resources[/url] and Illustrative Mathematics. Licensed under the [url=https://creativecommons.org/licenses/by/4.0/]Creative Commons Attribution 4.0 license[/url].
Table of Contents
- Lesson 7.2.6
- IM 7.2.6 Lesson: Using Equations to Solve Problems
- Practice 7.2.6
- IM 7.2.6 Practice: Using Equations to Sove Problems
IM 7.2.6 Lesson: Using Equations to Solve Problems
Without calculating, drag these expressions to order their quotients from least to greatest.
Place the decimal point in the appropriate location in the quotient by dragging the point.
Use this answer to find the quotient of [i]one[/i] of the previous expressions.
A performer expects to sell 5,000 tickets for an upcoming concert. They want to make a total of $311,000 in sales from these tickets.
Assuming that all tickets have the same price, what is the price for one ticket?
How much will they make if they sell 7,000 tickets?
How much will they make if they sell 10,000 tickets? 50,000? 120,000? a million? [math]x[/math] tickets?
If they make $404,300, how many tickets have they sold?
How many tickets will they have to sell to make $5,000,000?
Aluminum cans can be recycled instead of being thrown in the garbage. The weight of 10 aluminum cans is 0.16 kilograms. The aluminum in 10 cans that are recycled has a value of $0.14.
If a family threw away 2.4 kg of aluminum in a month, how many cans did they throw away? Explain your reasoning.[br]
What would be the recycled value of those same cans? Explain your reasoning.[br]
Write an equation to represent the number of cans [math]c[/math] given their weight [math]w[/math].[br]
Write an equation to represent the recycled value [math]r[/math] of [math]c[/math] cans.[br]
Write an equation to represent the recycled value [math]r[/math] of [math]w[/math] kilograms of aluminum.[br]
The EPA estimated that in 2013, the average amount of garbage produced in the United States was 4.4 pounds per person per day. At that rate, how long would it take your family to produce a ton of garbage? (A ton is 2,000 pounds.)
IM 7.2.6 Practice: Using Equations to Sove Problems
A car is traveling down a highway at a constant speed, described by the equation [math]d=65t[/math], where [math]d[/math] represents the distance, in miles, that the car travels at this speed in [math]t[/math] hours.[br][br]What does the 65 tell us in this situation?
How many miles does the car travel in 1.5 hours?
How long does it take the car to travel 26 miles at this speed?
Elena has some bottles of water that each holds 17 fluid ounces.
Write an equation that relates the number of bottles of water ([math]b[/math]) to the total volume of water ([math]w[/math]) in fluid ounces.[br]
How much water is in 51 bottles?
How many bottles does it take to hold 51 fluid ounces of water?
There are about 1.61 kilometers in 1 mile. Let [math]x[/math] represent a distance measured in kilometers and [math]y[/math] represent the same distance measured in miles. Write two equations that relate a distance measured in kilometers and the same distance measured in miles.
In Canadian coins, 16 quarters is equal in value to 2 toonies. Complete the table and answer the question below.
What does the value next to 1 mean in this situation?
The following table represents a proportional relationship. Fill in the missing parts of the table.
Where is the constant of proportionality in the table?
The following table represents a proportional relationship. Fill in the missing parts of the table.
Where is the constant of proportionality in the table?
The following table represents a proportional relationship. Fill in the missing parts of the table.
Where is the constant of proportionality in the table?
Describe some things you could notice in two polygons that would help you decide that they were not scaled copies.