Understanding Systems of Linear Equations

Understanding Systems of Linear Equations

Assessment

Interactive Video

Mathematics

7th - 10th Grade

Practice Problem

Hard

CCSS
8.EE.C.8B, 8.EE.B.5, 8.EE.C.8A

Standards-aligned

Created by

Lucas Foster

FREE Resource

Standards-aligned

CCSS.8.EE.C.8B
,
CCSS.8.EE.B.5
,
CCSS.8.EE.C.8A
The video tutorial explains how to solve systems of linear equations by graphing. It covers graphing two equations on the same coordinate plane, identifying if the system is inconsistent or dependent, and interpreting the results. The tutorial demonstrates graphing the equations in slope-intercept form and concludes that if the lines coincide, the system has infinite solutions. The solution form is expressed as y = -5x + 7, where x is any real number.

Read more

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does it mean if a system of linear equations is inconsistent?

It has two solutions.

It has an infinite number of solutions.

It has exactly one solution.

It has no solutions.

Tags

CCSS.8.EE.B.5

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you determine the slope from the equation y = mx + b?

The slope is the value of m.

The slope is the value of x.

The slope is the value of b.

The slope is the value of y.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the vertical intercept of the equation y = -5x + 7?

(7, 0)

(0, 7)

(-5, 0)

(0, -5)

Tags

CCSS.8.EE.B.5

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the slope of the line represented by the equation y = -5x + 7?

-7

-5

7

5

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you graph a line using its slope and intercept?

Plot any two random points.

Use the y-intercept only.

Use the x-intercept only.

Plot the intercept and use the slope to find another point.

Tags

CCSS.8.EE.C.8A

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does it mean if two lines on a graph coincide?

They are parallel and never meet.

They are the same line with infinite points in common.

They intersect at exactly one point.

They have no points in common.

Tags

CCSS.8.EE.C.8B

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the relationship between the two equations y = -5x + 7 and -2y - 10x = -4?

They intersect at one point.

They have no points in common.

They are the same line.

They are parallel lines.

Tags

CCSS.8.EE.C.8B

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Google

Continue with Google

Email

Continue with Email

Classlink

Continue with Classlink

Clever

Continue with Clever

or continue with

Microsoft

Microsoft

Apple

Apple

Others

Others

Already have an account?