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Understanding Gradients and Lines

Understanding Gradients and Lines

Assessment

Interactive Video

Mathematics

6th - 8th Grade

Practice Problem

Hard

Created by

Nancy Jackson

FREE Resource

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the primary purpose of connecting two points with a line on a Cartesian plane?

To determine the midpoint of the line

To measure the distance between the points

To show relationships or changes over time

To calculate the area of the plane

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If the x-axis represents time, what does the gradient of a line indicate?

The total distance covered

The rate of change over time

The maximum value reached

The average speed

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the context of the video, what does a steeper line indicate about cake sales?

Fewer cakes are sold over a longer period

The sales decrease over time

More cakes are sold in less time

The sales remain constant

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you calculate the gradient of a line using two points?

Divide the x-values by the y-values

Multiply the x-values and y-values of the points

Add the x-values and y-values of the points

Subtract the y-values and divide by the difference in x-values

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens to the gradient if the difference between the x-values is larger than the difference between the y-values?

The gradient becomes negative

The gradient remains the same

The gradient becomes gentler

The gradient becomes steeper

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does a negative gradient indicate about the direction of a line's slope?

The line slopes downwards to the right

The line is vertical

The line is horizontal

The line slopes upwards to the right

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If two lines have gradients of 1, what can be said about their slopes?

They are horizontal

They are vertical

They have a 45° slope

They are parallel

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