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Copy of G8MTH_SD_04.21

Copy of G8MTH_SD_04.21

Assessment

Presentation

•

Mathematics

•

8th Grade

•

Practice Problem

•

Hard

Created by

Jose Navarrete

FREE Resource

53 Slides • 27 Questions

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Multiple Choice

What is the formula for calculating slope from a table or graph?

1

Slope = (change in y) / (change in x)

2

Slope = (change in x) / (change in y)

3

Slope = y + x

4

Slope = x - y

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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?

1

Identifying the value of y when x is zero

2

Finding the slope first

3

Using only positive values of x

4

Ignoring the rate of change

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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.

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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?

1

$63.10 for 5 pounds, $104.12 for 8.25 pounds, $151.44 for 12 pounds

2

$60.00 for 5 pounds, $100.00 for 8.25 pounds, $150.00 for 12 pounds

3

$65.00 for 5 pounds, $110.00 for 8.25 pounds, $155.00 for 12 pounds

4

$70.00 for 5 pounds, $120.00 for 8.25 pounds, $160.00 for 12 pounds

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Open Ended

Explain how you would use the slope formula to find the rate of change between two points in a table.

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Fill in the Blanks

The y-intercept in the table is

Type answer...

.

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Multiple Choice

What does the slope represent in the context of Caroline's savings?

1

The amount Caroline saves each week

2

The total amount Caroline has saved

3

The number of months Caroline saved

4

The amount Caroline's parents gave her

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Fill in the Blanks

Caroline’s parents gave her

Type answer...

dollars to help her start saving.

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Multiple Choice

Which statement best describes the rate of change in the table?

1

Sasha earns $36.55 each hour she works.

2

Sasha earns $27.36 each hour she works.

3

Sasha earned $25.00 each hour she works.

4

Sasha earns $21.00 each hour she works.

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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...

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Multiple Choice

Which statement best describes the y-intercept in the table?

1

Sasha earns $21.00 before she begins her hourly work.

2

Sasha earns $70.00 before she begins her hourly work.

3

Sasha earns $25.00 before she begins her hourly work.

4

Sasha earns $136.50 before she begins her hourly work.

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Multiple Choice

Calculate the y-intercept in the table.

1

5.375

2

3.25

3

8.5

4

13

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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?

1

The y-intercept is the point where the line crosses the y-axis.

2

The slope is calculated as rise over run.

3

The y-intercept is always positive.

4

The slope is always greater than 1.

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Multiple Select

Which steps are necessary to find the rate of change from a table of values?

1

Find the change in y

2

Find the change in x

3

Multiply x and y values

4

Divide the change in y by the change in x

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Multiple Choice

What is the formula for the rate of change as shown in the lesson?

1

m = Δy/Δx

2

m = Δx/Δy

3

m = y + x

4

m = x - y

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Multiple Choice

Which of the following best describes a proportional relationship?

1

A relationship where the ratio between variables remains constant.

2

A relationship where the variables increase at different rates.

3

A relationship that always passes through the y-intercept at -1.

4

A relationship where the domain is always positive.

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Open Ended

Why is understanding the rate of change and y-intercept important when analyzing relationships between variables in mathematics?

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Fill in the Blanks

The slope of a line represents the

Type answer...

of change between two variables.

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49

Open Ended

Explain how you can use the slope formula to determine the rate of change from a graph.

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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

1/2

2

2/3

3

3/2

4

1

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53

Multiple Choice

Based on the graph, what is the sign-up fee to the gym?

1

$45

2

$25

3

$50

4

$60

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55

Multiple Choice

Based on the graph, what is the monthly cost for the gym?

1

$45

2

$25

3

$50

4

$60

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57

Multiple Choice

What is the daily rental fee Anthony pays for the car?

1

$25

2

$50

3

$75

4

$100

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Open Ended

How do the concepts of rate of change and y-intercept help you understand proportional and nonproportional relationships in mathematics?

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Multiple Choice

What is the rate of change for the data in the table, and how is it represented on the graph?

1

The rate of change is 2/3, represented by the slope of the line.

2

The rate of change is 3/2, represented by the y-intercept.

3

The rate of change is 1, represented by the x-intercept.

4

The rate of change is 2, represented by the steepness of the curve.

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