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Exploring Linear Functions and Relations

Exploring Linear Functions and Relations

Assessment

Interactive Video

•

Mathematics

•

6th - 10th Grade

•

Practice Problem

•

Hard

•
CCSS
8.F.B.4, HSF-LE.A.1B, 8.EE.B.6

+3

Standards-aligned

Created by

Olivia Brooks

FREE Resource

Standards-aligned

CCSS.8.F.B.4
,
CCSS.HSF-LE.A.1B
,
CCSS.8.EE.B.6
CCSS.8.F.A.1
,
CCSS.HSF.LE.A.2
,
CCSS.8.F.A.3
,
Jimmy Chang explains the concepts of linear functions and relations. He begins by discussing linear relations, which involve ordered pairs that form a line. He then differentiates between linear relations and linear functions, emphasizing that a linear function requires each x-coordinate to pair with only one y-coordinate. The video concludes with the criteria for a linear relation to qualify as a linear function, often represented as f(x) = mx + b.

Read more

9 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is required for a series of ordered pairs to form a linear relation?

They must form a straight line.

They must form a curve.

They must form a circle.

They must form a triangle.

Tags

CCSS.HSF-LE.A.1B

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does each ordered pair in a linear relation represent?

A point on a curve

A point in a square

A point on a circle

A point on a line

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In a linear relation, what pattern do the ordered pairs follow?

A random pattern

A circular pattern

A straight-line pattern

A triangular pattern

Tags

CCSS.HSF-LE.A.1B

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What distinguishes a linear function from a linear relation?

A linear function does not require ordered pairs.

A linear function allows multiple x-coordinates for one y-coordinate.

A linear function requires a unique y-coordinate for each x-coordinate.

A linear function can only have positive coordinates.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why can't two ordered pairs in a linear function share the same x-coordinate?

To make the function non-deterministic

To allow the function to form a circle

To ensure each x-coordinate maps to exactly one y-coordinate

To ensure the function is not linear

Tags

CCSS.8.F.A.1

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula for a linear function?

f(x) = x^2 + b

f(x) = m/x + b

f(x) = mx + c

f(x) = mx + b

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the 'm' in the linear function formula represent?

The y-intercept

The x-intercept

The slope of the line

The curvature of the line

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

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