Solving Linear Equations: A Basic Approach

Solving Linear Equations: A Basic Approach

Assessment

Interactive Video

Mathematics

6th - 10th Grade

Practice Problem

Hard

CCSS
6.EE.B.8, 7.EE.B.4B, HSA.REI.A.1

Standards-aligned

Created by

Liam Anderson

FREE Resource

Standards-aligned

CCSS.6.EE.B.8
,
CCSS.7.EE.B.4B
,
CCSS.HSA.REI.A.1
The video tutorial explains how to solve the inequality 3l - 6 ≥ 8. It begins by introducing the problem and analyzing the given inequality. The instructor then demonstrates how to isolate the variable 'l' by adding 6 to both sides and dividing by 3, resulting in the solution l ≥ 14/3. The tutorial emphasizes the importance of maintaining the inequality sign when dividing by a positive number.

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8 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the initial inequality given in the problem?

3l - 6 ≥ 8

3l + 6 ≤ 8

3l - 6 ≤ 8

3l + 6 ≥ 8

Tags

CCSS.7.EE.B.4B

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the goal when solving the given inequality?

To add a constant to both sides

To get l on the right-hand side

To get l on the left-hand side

To eliminate the variable l

Tags

CCSS.HSA.REI.A.1

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What operation is performed to both sides to eliminate the constant term?

Dividing by six

Subtracting six

Multiplying by six

Adding six

Tags

CCSS.6.EE.B.8

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result after adding six to both sides of the inequality?

3l ≥ 2

3l ≥ 14

3l ≤ 14

3l ≤ 2

Tags

CCSS.6.EE.B.8

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the next step after obtaining 3l ≥ 14?

Multiplying both sides by three

Dividing both sides by three

Adding three to both sides

Subtracting three from both sides

Tags

CCSS.6.EE.B.8

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens to the inequality sign when dividing both sides by a positive number?

It changes to less than or equal to

It changes to greater than

It remains the same

It changes to less than

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final solution to the inequality?

l ≥ 14/3

l ≤ 14/3

l ≤ 3/14

l ≥ 3/14

Tags

CCSS.6.EE.B.8

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