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Welcome to Algebra I: Properties of Inequality

17 minutes 24 seconds

Now Playing As: Captioned (English) (change)

This video introduces key concepts related to the properties of inequalities, an essential topic in Algebra. It covers the basic symbols of inequality such as less than, greater than, and not equal to, and explains various properties like transitive, addition, subtraction, multiplication, and division properties of inequalities. These concepts are fundamental in mathematical operations and critical for building problem-solving skills. The video also discusses the impact of multiplying or dividing by negative numbers on inequality signs, linking back to pre-algebra knowledge that students may have encountered. Part of the "Welcome to Algebra I" series.

Media Details

Runtime: 17 minutes 24 seconds

Topic: Language Arts, Mathematics, Social Science
Subtopic: Algebra, Critical Thinking, Mathematics, Problem Solving
Grade/Interest Level: 7 - 12
Standards:

Release Year: 2014
Producer/Distributor: PBS Learning Media
Series: Welcome to Algebra I
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Course Overview Course Modules

Woman with dark hair wearing a gray shirt stand at a podium in front of an illuminated blue and purple background. She holds a pen in her right hand while looking down at a screen in front of her.

Woman with dark hair in a bun wearing a green shirt stands at a podium in front of an illuminated blue and purple background. She holds a pen in her right hand while looking down at a screen in front of her.

Closeup of a large screen on top of a podium with a hand holding a pen writing numbers. Title on the screen reads, "Multiplication Property of Inequality. A equals 1, B equals 2, C equals 3." An if and then table appears below and reads, "If A is less than B and C is positive, then A, C is less than B, C."

Aerial side view of a hand using a stylus to work out a math problem on a computer screen. Text on screen reads, "Example 2. Write the numeric expression in its simplest radical form."

Split screen. The left is a white background with blue text that reads, "How did I get that?" followed by the algebra equation, 9, X, sup 5, Y minus 4, X sup 3, plus X squared. To the right, a woman works through the problem using a screen in front of her.

Split screen. The left is a white background with blue text that reads, "Example 3. The bill at the restaurant was split evenly 4 ways." Handwriting below reads, B is to Bill. To the right, a woman works through the problem using a screen in front of her.

Split screen. The left is a white background with blue text that reads, "Example 2. Evaluate 3 minus 10, X, when X equals 2 over 5." Handwriting below reads, 3 minus 10 times 2 over 5. To the right, a woman works through the problem using a screen in front of her.

Split screen. The left is a white background with a chart with 2 rows and 3 columns labeled, "Verbal, Explanation, Example." The boxes are filled in with a combination of typed and handwritten text. To the right, a woman works through the problem using a screen in front of her.

Split screen. The left is a white background with a math word problem written in blue. Text at the top reads, "Example 3. Determine if the situation presents a direct variation. Below this, the problem is in typed text and the answer is in handwritten text. To the right, a woman works through the problem using a screen in front of her.

Split screen. The left is a white background with blue text that reads, "Solve for x. 3 times 2 over 3, X equals 4." To the right, a woman works through the problem using a screen in front of her. Caption. Put my multiplication symbol and a 3.