Exploring Absolute Value Equations and Inequalities

Exploring Absolute Value Equations and Inequalities

Assessment

Interactive Video

Mathematics

6th - 10th Grade

Hard

CCSS
7.EE.B.4A, 6.EE.B.8

Standards-aligned

Created by

Sophia Harris

FREE Resource

Standards-aligned

CCSS.7.EE.B.4A
,
CCSS.6.EE.B.8
The video tutorial extends the previous lesson on absolute value equations and inequalities. It begins with solving basic absolute value equations, demonstrating how to translate them into two separate equations. The tutorial then progresses to solving absolute value inequalities, emphasizing the importance of switching inequality signs when dividing by negative numbers. Finally, it covers more complex inequalities, showing how to isolate variables and solve them on a number line.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does it mean if the absolute value of an expression equals 7?

The expression is 7 or -7

The expression is greater than 7

The expression is less than 7

The expression is 0

Tags

CCSS.7.EE.B.4A

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If 2p - 3 equals 7, what is the value of p?

2

5

10

7

Tags

CCSS.6.EE.B.8

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens to the inequality sign when you divide by a negative number?

It becomes an equality

It disappears

It stays the same

It switches direction

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the inequality |10 - 2k| ≥ 6, what are the two possible conditions for 10 - 2k?

10 - 2k > 6 or 10 - 2k < -6

10 - 2k ≥ 6 or 10 - 2k ≤ -6

10 - 2k = 6 or 10 - 2k = -6

10 - 2k ≤ 6 or 10 - 2k ≥ -6

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you represent the solution of |10 - 2k| ≥ 6 on a number line?

All numbers between 2 and 8

All numbers less than or equal to 2 and greater than or equal to 8

All numbers greater than 2 and less than 8

All numbers between -2 and -8

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving the inequality 2|3k - 7| ≤ 8?

Multiply by 2

Divide by 2

Subtract 11 from both sides

Add 11 to both sides

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After isolating the absolute value in 2|3k - 7| ≤ 8, what is the next step?

Multiply by 2

Subtract 7 from both sides

Add 7 to both sides

Divide by 2

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