Alg1.2.4 Equations and Their Solutions
Presentation
•
Mathematics
•
9th Grade
•
Practice Problem
•
Easy
BROOKE SABIN
Used 12+ times
FREE Resource
10 Slides • 20 Questions
1
Alg1.2.4 Equations and Their Solutions
Algebra 1
2
Open Ended
Write a story that best describes how you are feeling.
Example: A puppy goes on her first walk.
3
4
5
6
Poll
Do you eat granola?
7
Open Ended
A granola bite contains 27 calories. Most of the calories come from c grams of carbohydrates. The rest come from other ingredients. One gram of carbohydrate contains 4 calories.
The equation 4c+5=27 represents the relationship between these quantities.
1) What could the 5 represent in this situation?
8
Open Ended
A granola bite contains 27 calories. Most of the calories come from c grams of carbohydrates. The rest come from other ingredients. One gram of carbohydrate contains 4 calories.
The equation 4c+5=27 represents the relationship between these quantities.
2) Priya said that neither 8 nor 3 could be the solution to the equation. Explain why she is correct.
9
Multiple Choice
10
Open Ended
In general, what does a solution to an equation mean?
11
12
Open Ended
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 workday, however, Jada would have to spend $7.15 on bus fare.
1) Write an equation that represents Jada’s take-home earnings in dollars, E , if she works at the bookstore for h hours in one day.
13
Open Ended
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 workday, however, Jada would have to spend $7.15 on bus fare.
One day, Jada takes home $90.45 after working h hours and after paying the bus fare. Write an equation to represent this situation.
14
Open Ended
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 workday, however, Jada would have to spend $7.15 on bus fare.
Is 4 a solution to the last equation you wrote? What about 7?
If so, explain how you know one or both of them are solutions.
If not, explain why they are not solutions. Then, find the solution.
15
Open Ended
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 workday, however, Jada would have to spend $7.15 on bus fare.
In this situation, what does the solution to the equation tell us?
16
17
Multiple Select
One gram of protein contains 4 calories. One gram of fat contains 9 calories. A snack has 60 calories from p grams of protein and f grams of fat.
The equation 4p+9f=60 represents the relationship between these quantities.
Select the pair(s) of values that could be the number of grams of protein and fat in the snack.
18
Multiple Choice
One gram of protein contains 4 calories. One gram of fat contains 9 calories. A snack has 60 calories from p grams of protein and f grams of fat.
The equation 4p+9f=60 represents the relationship between these quantities.
If there are 6 grams of fat in the snack, how many grams of protein are there? Explain your reasoning.
19
Open Ended
One gram of protein contains 4 calories. One gram of fat contains 9 calories. A snack has 60 calories from p grams of protein and f grams of fat.
The equation 4p+9f=60 represents the relationship between these quantities.
In this situation, what does a solution to the equation 4p+9f=60 tell us? Give an example of a solution.
20
Open Ended
One gram of protein contains 4 calories. One gram of fat contains 9 calories. A snack has 60 calories from p grams of protein and f grams of fat.
The equation 4p+9f=60 represents the relationship between these quantities.
In this situation, what does it mean when we say that x=12 and y=1.5 are not solutions to the equation?
21
Open Ended
One gram of protein contains 4 calories. One gram of fat contains 9 calories. A snack has 60 calories from p grams of protein and f grams of fat.
The equation 4p+9f=60 represents the relationship between these quantities.
How many possible combinations of grams of protein and fat (or x and y) would add up to 60 calories?
How can we know that there are many solutions to the equation?
22
23
Open Ended
What does the equation 4x+9y=110 tell us about the calories in a snack?
x=grams of protein
y=grams of fat
24
Open Ended
4x+9y=110
x=grams of protein
y=grams of fat
In this situation, what does it mean to solve the equation?
25
Open Ended
4x+9y=110
x=grams of protein
y=grams of fat
Is the combination of 11 grams of protein and 5 grams of fat a solution to the equation? Why or why not?
26
Open Ended
Consider the equation 4(5)+9y=110
x=grams of protein
y=grams of fat
What does it tell us about the snack?
27
Open Ended
Consider the equation 4(5)+9y=110
x=grams of protein
y=grams of fat
What does it mean to solve this equation?
28
29
LAUSD Schoology Login
You can open this webpage in a new tab.
30
LAUSD Schoology Login
You can open this webpage in a new tab.
Alg1.2.4 Equations and Their Solutions
Algebra 1
Show answer
Auto Play
Slide 1 / 30
SLIDE
