

Copy of G8MTH_SD_04.21
Presentation
•
Mathematics
•
8th Grade
•
Practice Problem
•
Hard
Jose Navarrete
FREE Resource
53 Slides • 27 Questions
1
2
Multiple Choice
What is the formula for calculating slope from a table or graph?
Slope = (change in y) / (change in x)
Slope = (change in x) / (change in y)
Slope = y + x
Slope = x - y
3
4
5
Fill in the Blanks
In the equation y = mx + b, the slope is represented by the variable
Type answer...
6
Multiple Select
Which of the following are necessary to determine the y-intercept from a table or graph in a mathematical problem?
Identifying the value of y when x is zero
Finding the slope first
Using only positive values of x
Ignoring the rate of change
7
8
Open Ended
Explain how you can use data from a table or graph to determine the rate of change or slope in a real-world problem.
9
10
Multiple Choice
Braden sells 3 pounds of barbeque for $37.86. If the cost of the barbeque is proportional to the number of pounds sold, what would be the cost for the pounds of barbeque listed in the table?
$63.10 for 5 pounds, $104.12 for 8.25 pounds, $151.44 for 12 pounds
$60.00 for 5 pounds, $100.00 for 8.25 pounds, $150.00 for 12 pounds
$65.00 for 5 pounds, $110.00 for 8.25 pounds, $155.00 for 12 pounds
$70.00 for 5 pounds, $120.00 for 8.25 pounds, $160.00 for 12 pounds
11
12
Open Ended
Explain how you would use the slope formula to find the rate of change between two points in a table.
13
Fill in the Blanks
The y-intercept in the table is
Type answer...
14
15
Multiple Choice
What does the slope represent in the context of Caroline's savings?
The amount Caroline saves each week
The total amount Caroline has saved
The number of months Caroline saved
The amount Caroline's parents gave her
16
17
Fill in the Blanks
Caroline’s parents gave her
Type answer...
18
19
Multiple Choice
Which statement best describes the rate of change in the table?
Sasha earns $36.55 each hour she works.
Sasha earns $27.36 each hour she works.
Sasha earned $25.00 each hour she works.
Sasha earns $21.00 each hour she works.
20
21
Fill in the Blanks
Based on the tables in images 0 and 1, what is the equation of the line that models Sasha's earnings as a function of hours worked?
Type answer...
22
23
Multiple Choice
Which statement best describes the y-intercept in the table?
Sasha earns $21.00 before she begins her hourly work.
Sasha earns $70.00 before she begins her hourly work.
Sasha earns $25.00 before she begins her hourly work.
Sasha earns $136.50 before she begins her hourly work.
24
25
Multiple Choice
Calculate the y-intercept in the table.
5.375
3.25
8.5
13
26
27
Open Ended
Explain how you would determine the slope of a line given two points on a graph, as shown in the example.
28
Multiple Select
Which of the following statements are true about the graph and y-intercept shown in images 4 and 5?
The y-intercept is the point where the line crosses the y-axis.
The slope is calculated as rise over run.
The y-intercept is always positive.
The slope is always greater than 1.
29
30
31
32
Multiple Select
Which steps are necessary to find the rate of change from a table of values?
Find the change in y
Find the change in x
Multiply x and y values
Divide the change in y by the change in x
33
34
Multiple Choice
What is the formula for the rate of change as shown in the lesson?
m = Δy/Δx
m = Δx/Δy
m = y + x
m = x - y
35
36
Multiple Choice
Which of the following best describes a proportional relationship?
A relationship where the ratio between variables remains constant.
A relationship where the variables increase at different rates.
A relationship that always passes through the y-intercept at -1.
A relationship where the domain is always positive.
37
38
Open Ended
Why is understanding the rate of change and y-intercept important when analyzing relationships between variables in mathematics?
39
40
41
42
43
44
45
46
47
Fill in the Blanks
The slope of a line represents the
Type answer...
48
49
Open Ended
Explain how you can use the slope formula to determine the rate of change from a graph.
50
51
Multiple Choice
What is the slope of the line passing through the points (-3, -4) and (3, 0) as shown on the graph?
1/2
2/3
3/2
1
52
53
Multiple Choice
Based on the graph, what is the sign-up fee to the gym?
$45
$25
$50
$60
54
55
Multiple Choice
Based on the graph, what is the monthly cost for the gym?
$45
$25
$50
$60
56
57
Multiple Choice
What is the daily rental fee Anthony pays for the car?
$25
$50
$75
$100
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
Open Ended
How do the concepts of rate of change and y-intercept help you understand proportional and nonproportional relationships in mathematics?
73
74
75
76
77
78
79
80
Multiple Choice
What is the rate of change for the data in the table, and how is it represented on the graph?
The rate of change is 2/3, represented by the slope of the line.
The rate of change is 3/2, represented by the y-intercept.
The rate of change is 1, represented by the x-intercept.
The rate of change is 2, represented by the steepness of the curve.
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