

Lesson TSI_SD_10.01_AR2
Presentation
•
Mathematics
•
9th - 12th Grade
•
Medium
+6
Standards-aligned
O. Aghedo
Used 3+ times
FREE Resource
52 Slides • 21 Questions
1
2
3
4
5
6
7
Multiple Choice
DeShaun charges $50/hour plus an $8 transportation fee. Isamu charges $42/hour plus a $20 transportation fee. For how many hours will they charge the same amount?
1 hour
1.5 hours
2 hours
2.5 hours
8
9
10
11
12
Open Ended
How does a graph reveal the solution to a system of equations?
13
14
15
Multiple Choice
DeShaun and Isamu mow lawns.
DeShaun charges $50 per hour plus a transportation fee of $8.
Isamu charges $42 per hour plus a transportation fee of $20. What are the equations representing DeShaun and Isamu's mowing charges?
y = 50x + 8 and y = 42x + 20
y = 8x + 50 and y = 20x + 42
y = 50x + 20 and y = 42x + 8
y = 42x + 8 and y = 50x + 20
16
Multiple Choice
Which of the following best describes a system of equations?
A set of equations with different variables
A set of equations with the same variables
A single equation with two variables
A set of equations with only one solution
17
18
19
20
Fill in the Blanks
21
Multiple Select
Which statements are true about the point of intersection of two lines representing a system of equations?
It is the solution to the system of equations.
It is where both equations are satisfied.
It always occurs at the origin.
It represents an ordered pair (x, y) that gives the solution.
22
23
Multiple Choice
Vanellope graphed a system of equations on the coordinate plane. What is the solution to the system?
(-4, 0)
(-3, 3)
(3, -3)
(0, 4)
24
25
26
Multiple Choice
The graph shows the linear relationship between the number of ribbons each of them has left to sell and the number of days that they have been selling ribbons. On which day does it appear that AJ and Teagan will have the same number of ribbons left to sell?
Day 15
Day 48
Day 33
Day 18
27
28
29
Fill in the Blanks
30
31
32
Open Ended
Explain how you can determine the solution to a system of linear equations by looking at their graphs. Use examples from the graphs shown in slides 1 and 2.
33
34
35
Multiple Choice
What is the solution to the system of equations
5x + 4y = -12 and 3x - 4y = -20
as shown on the graph?
(4, -4)
(-4, 2)
(2, -4)
(-2, 4)
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38
39
40
Multiple Select
Tai and Norma each wrote a linear equation. Graph the two equations to create a system of linear equations. Which of the following statements are true about the system of equations 3x + 5y = -10 and 6x + 10y = -20?
The lines are the same.
There are infinitely many solutions.
The lines are parallel.
There is no solution.
41
42
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46
47
Multiple Choice
What can you conclude about the system of equations y = x + 5 and x - y = 2 based on their graphs?
The lines intersect at one point.
There are infinitely many solutions.
The lines are parallel and there is no solution.
The lines are perpendicular.
48
49
50
Multiple Select
Based on the graphs shown, which of the following statements are true about systems of two linear equations?
The graphs can intersect exactly once.
The graphs can be parallel and never intersect.
The graphs can overlap completely.
The graphs can form a circle.
51
Multiple Choice
Which type of solution occurs when two linear graphs intersect exactly once?
One solution
No solution
Infinitely many solutions
No intersection
52
53
Multiple Choice
Gabriela graphed a system of linear equations with an infinite number of solutions. Which of the following could be Gabriela’s graph?
A
B
C
D
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56
Multiple Choice
Irina graphed a linear function representing the first of two equations in a linear system. If graph of the second equation in the system passes through the points (2, 3) and (–5, –4), which statement is true?
The only solution to the system is (0, 1).
The only solution to the system is (–1, 0).
The system has no solution.
The system has an infinite number of solutions.
57
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59
60
Fill in the Blanks
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63
Multiple Choice
Which graph best represents the system of equations x – 3y = –6 and 2x = 3 + y and its solution?
A
B
C
None of the above
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72
Open Ended
What additional guidance or resources would you like to have to better support your teaching after reviewing the tips provided?
73
Multiple Choice
Which resource would you use if you needed help supporting students who are learning English as a new language?
Vocabulary Guidance and Tips
Emergent Bilingual Support
Timers
At-Bats Guidance
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