IM Alg1.2.4 Lesson: Equations and Their Solutions
[size=150]A granola bite contains 27 calories. Most of the calories come from [math]c[/math] grams of carbohydrates. The rest come from other ingredients. One gram of carbohydrate contains 4 calories.[br][br]The equation [math]4c+5=27[/math] represents the relationship between these quantities.[br][/size][br]What could the 5 represent in this situation?[br]
Priya said that neither 8 nor 3 could be the solution to the equation. Explain why she is correct.[br]
Find the solution to the equation.[br]
[size=150]Jada has time on the weekends to earn some money. A local bookstore is looking for someone to help sort books and will pay $12.20 an hour. To get to and from the bookstore on a work day, however, Jada would have to spend $7.15 on bus fare.[/size][br][br]Write an equation that represents Jada’s take-home earnings in dollars, [math]E[/math], if she works at the bookstore for [math]h[/math] hours in one day.[br]
One day, Jada takes home $90.45 after working [math]h[/math] hours and after paying the bus fare. Write an equation to represent this situation.
Is 4 a solution to the last equation you wrote? What about 7?[list][*]If so, be prepared to explain how you know one or both of them are solutions.[/*][*]If not, be prepared to explain why they are not solutions. Then, find the solution.[/*][/list]
In this situation, what does the solution to the equation tell us?[br]
[size=150]Jada has a second option to earn money—she could help some neighbors with errands and computer work for $11 an hour. After reconsidering her schedule, Jada realizes that she has about 9 hours available to work one day of the weekend.[/size][br][br]Which option should she choose—sorting books at the bookstore or helping her neighbors? Explain your reasoning.
[size=150]One gram of protein contains 4 calories. One gram of fat contains 9 calories. A snack has 60 calories from [math]p[/math] grams of protein and [math]f[/math] grams of fat.[br][br]The equation [math]4p+9f=60[/math] represents the relationship between these quantities. [br][/size][br][size=150]Determine if this pair of values could be the number of grams of protein and fat in the snack. Be prepared to explain your reasoning.[br][/size][br]5 grams of protein and 2 grams of fat
10.5 grams of protein and 2 grams of fat
8 grams of protein and 4 grams of fat
If there are 6 grams of fat in the snack, how many grams of protein are there? Show your reasoning.[br]
In this situation, what does a solution to the equation [math]4p+9f=60[/math] tell us? Give an example of a solution.[br]
IM Alg1.2.4 Practice: Equations and Their Solutions
[size=150]An artist is selling children's crafts. Necklaces cost $2.25 each, and bracelets cost $1.50 per each.[/size][br][br]Select [b]all [/b]the combinations of necklaces and bracelets that the artist could sell for exactly $12.00.
[size=150]Diego is collecting dimes and nickels in a jar. He has collected $22.25 so far. The relationship between the numbers of dimes and nickels, and the amount of money in dollars is represented by the equation [math]0.10d+0.05n=22.25[/math].[/size][br][br]Select [b]all[/b] the values [math]\left(d,n\right)[/math] that could be solutions to the equation.
[size=150]Volunteer drivers are needed to bring 80 students to the championship baseball game. Drivers either have cars, which can seat 4 students, or vans, which can seat 6 students. The equation [math]4c+6v=80[/math] describes the relationship between the number of cars, [math]c[/math], and number of vans, , that can transport exactly 80 students.[/size][br][br]Select [b]all [/b]statements that are true about the situation.
[size=150]The drama club is printing t-shirts for its members. The printing company charges a certain amount for each shirt plus a setup fee of $40. There are 21 students in the drama club.[/size][br][br]If there are 21 students in the club and the t-shirt order costs a total of $187, how much does each t-shirt cost? Show your reasoning.[br]
The equation [math]201.50=f+6.50\left(21\right)[/math] represents the cost of printing the shirts at a second printing company.[br]Find the solution to the equation and state what it represents in this situation.[br]
The box plot represents the distribution of the number of children in 30 different familes.
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[/img][br][br][size=150]After further examination, the value of 12 is removed for having been recorded in error. The box plot represents the distribution of the same data set, but with the maximum, 12, removed.[/size][br][br][img]data:image/png;base64,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[/img][br][br][size=150]The median is 2 children for both plots.[/size][br][br]Explain why the median remains the same when 12 was removed from the data set.
When 12 is removed from the data set, does mean remain the same? Explain your reasoning.[br]
The number of points Jada's basketball team scored in their games have a mean of about 44 and a standard deviation of about 15.7 points.
Interpret the mean and standard deviation in the context of Jada's basketball team.
[size=150]Kiran’s family is having people over to watch a football game. They plan to serve sparkling water and pretzels. They are preparing 12 ounces of sparkling water and 3 ounces of pretzels per person. Including Kiran’s family, there will be 10 people at the gathering.[br][br]A bottle of sparkling water contains 22 ounces and costs $1.50. A package of pretzels contains 16 ounces and costs $2.99. Let [math]n[/math] represent number of people watching the football game, [math]s[/math] represent the ounces of sparkling water, [math]p[/math] represent the ounces of pretzels, and [math]b[/math] represent Kiran’s budget in dollars.[br][br][/size]Which equation best represents Kiran’s budget?
[size=150]The speed of an object can be found by taking the distance it travels and dividing it by the time it takes to travel that distance. An object travels 100 feet in 2.5 seconds. Let the speed, [math]S[/math], be measured in feet per second.[/size][br][br]Write an equation to represent the relationship between the three quantities (speed, distance, and time).
A donut shop made 12 dozen donuts to give to a school’s math club.
Which expression represents how many donuts each student would get if the donuts were equally distributed and there were students in math club?