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Characteristics and Graphs of Linear Equations

Characteristics and Graphs of Linear Equations

Assessment

Interactive Video

•

Mathematics

•

9th - 10th Grade

•

Practice Problem

•

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains what a linear equation is, emphasizing that it represents a straight line on a graph. It describes the basic form of a linear equation as y = x and explains that you can add or multiply by constants, but x must remain to the first power. The tutorial provides examples of equations to determine if they are linear or not, highlighting that equations with x raised to powers other than one are not linear. The video concludes with examples of identifying linear equations and their graphical representations.

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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the graphical representation of a linear equation?

A hyperbola

A parabola

A circle

A straight line

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is a characteristic of a linear equation?

It forms a zigzag line when graphed

It forms a circle when graphed

It forms a curve when graphed

It forms a straight line when graphed

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the simplest form of a linear equation?

y = x^3

y = x^2

y = x

y = 1/x

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the equation y = mx + b, what does 'b' represent?

The power of x

The x-intercept

The slope

The y-intercept

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Can the coefficient of x in a linear equation be negative?

Yes, it can be negative

No, it must be positive

Yes, but only if b is positive

No, it must be zero

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is not allowed in a linear equation regarding the power of x?

x raised to a fractional power

x raised to any power other than 1

x raised to the first power

x raised to a negative power

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why can't x be raised to the second power in a linear equation?

Because it would form a curve

Because it would form a circle

Because it would form a straight line

Because it would form a zigzag line

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