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Understanding Linear Relationships and Intercepts

Understanding Linear Relationships and Intercepts

Assessment

Interactive Video

Mathematics

8th Grade

Practice Problem

Hard

Created by

Thomas White

FREE Resource

The video tutorial covers linear relationships, focusing on understanding slope and intercept in various contexts. It includes problems involving the perimeter of an equilateral triangle, cash box and ticket sales, reading progress over days, muffin delivery costs, flour and sugar ratios for recipes, and gym membership fees. Each problem is explained with equations and graphs to illustrate the concepts of slope and intercept.

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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the slope of a line generally represent in a linear relationship?

The maximum value of the relationship

The rate of change between two variables

The starting value of the relationship

The total sum of all values

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the context of an equilateral triangle, what does a slope of 3 indicate?

The area of the triangle is 3 square units

Each side of the triangle is 3 units long

The perimeter increases by 3 units for each unit increase in side length

The triangle has 3 sides

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the y-intercept of zero signify in the triangle perimeter problem?

The triangle has no sides

The perimeter is zero when the side length is zero

The triangle is equilateral

The slope is zero

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the cash box scenario, what does a slope of 1/4 represent?

Each ticket costs 25 cents

The cash box decreases by 25 cents per ticket

The cash box starts with 25 cents

The total cash increases by 25 dollars per ticket

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the y-intercept of 8 mean in the cash box problem?

The cash box is empty

The cash box starts with 8 dollars

The total cash is 8 dollars after 8 tickets

Each ticket costs 8 dollars

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the chapters read scenario, what does a slope of 5/4 indicate?

5 chapters are read every day

4 chapters are read every 5 days

5 chapters are read every 4 days

4 chapters are read every day

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the y-intercept of 2 signify in the chapters read problem?

2 chapters are read every day

The reading starts on day 2

2 chapters were read before the start

The total number of chapters is 2

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