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Exploring Solutions in Equations

Exploring Solutions in Equations

Assessment

Interactive Video

•

Mathematics

•

6th - 10th Grade

•

Practice Problem

•

Easy

•
CCSS
8.EE.C.8B, HSG.CO.A.1, 8.EE.B.5

+1

Standards-aligned

Created by

Amelia Wright

Used 1+ times

FREE Resource

Standards-aligned

CCSS.8.EE.C.8B
,
CCSS.HSG.CO.A.1
,
CCSS.8.EE.B.5
CCSS.8.EE.C.8A
,
The video tutorial explains how to determine if a linear system has one solution, no solution, or infinite solutions. It provides three examples: intersecting lines with one solution, parallel lines with no solution, and overlapping lines with infinite solutions. The key concept is understanding the relationship between the slopes and y-intercepts of the lines in the system.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the three possible outcomes when determining the number of solutions in a linear system?

One solution, no solution, or two solutions

No solution, two solutions, or infinite solutions

One solution, no solution, or infinite solutions

One solution, two solutions, or infinite solutions

Tags

CCSS.8.EE.C.8B

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the characteristic of the slopes of two lines that intersect at one point?

The slopes are the same

The slopes are different

The slopes are undefined

The slopes are zero

Tags

CCSS.8.EE.C.8B

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the example with one solution, what are the equations of the two lines?

y = 2x + 1 and y = 2x - 3

y = 2x + 1 and y = 2x + 1

y = 2x + 1 and y = -3x + 4

y = -3x + 4 and y = 2x - 3

Tags

CCSS.8.EE.C.8B

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What do we call lines that never intersect?

Intersecting lines

Perpendicular lines

Overlapping lines

Parallel lines

Tags

CCSS.HSG.CO.A.1

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the example with no solution, what are the equations of the two lines?

y = 2x + 1 and y = 2x - 3

y = 2x + 1 and y = -3x + 4

y = -3x + 4 and y = 2x - 3

y = 2x + 1 and y = 2x + 1

Tags

CCSS.8.EE.C.8B

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the characteristic of the slopes and y-intercepts of two parallel lines?

Same slopes and same y-intercepts

Different slopes and different y-intercepts

Different slopes and same y-intercepts

Same slopes and different y-intercepts

Tags

CCSS.8.EE.B.5

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does it mean when two lines overlap completely?

They are perpendicular

They have one solution

They have infinite solutions

They have no solution

Tags

CCSS.8.EE.C.8A

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