Algebra 2 1-5 Guided Practice: Solving Inequalities

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Solve It! You want to download some new songs on your MP3 player. Each song will use about 4.3 MB of space. The amount of space available on your MP3 player is shown in the image. At most, how many songs can you download? Hint: 1 GB = 1000 MB

Enter only a whole number without a comma.

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Take Note: What is a boundary point in an inequality?

Take Note: What does is mean when a boundary point in the graph of an inequality is solid?

Take Note: Provide an example of a simplified inequality whose graph includes a solid boundary point.

💡 Tip: Use the two characters ">=" then a space for ≥ and the two characters "<=" then a space for ≤. Formative's math keyboard and most other modern math input tools will automatically convert the characters for you.

Take Note: What does is mean when a boundary point in the graph of an inequality is open?

Take Note: Provide and example of a simplified inequality whose graph includes an open boundary point.

Problem 1 Got It?

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Take Note: Define solution of an inequality.

Take Note: How many solutions does the inequality x\leq2 have?

Take Note: Take a moment to review the Properties of Inequalities. Consider adding them to your notes.

Take Note: Let a, b, and c represent real numbers.
Categorize each general example of a property on the left based on the property's name.

If a>b and c>0, then ac>bc.
If a>b and b>c, then a>c.
If a>b, then a-c>b-c.
If a>b and c<0, then ac<bc.

Transitive property of inequality
Subtraction property of inequality
Multiplication property of inequality

Problem 2 Got It? What is the solution of the inequality?

Problem 2 Got It? Graph the solution from the previous item on the canvas.
Include relevant details, label points of interest and establish scale.

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Problem 3 Got It?

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Problem 4 Got It?

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Take Note: Define compound inequality.

Take Note: Translate the word phrase into a simplified compound inequality:

3 is less than x AND x is less than or equal to 7.5

Problem 5 Got It? What is the solution of the inequality? Graph the solution on the canvas.
Include relevant details, label points of interest and establish scale.

Problem 5 Got It? Reasoning: Is the compound inequality in Problem 5 always, sometimes, or never true?

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Take Note:

1. In the response field, write an example of a compound inequality that uses AND.

2. On the canvas, sketch a graph of your AND-type compound inequality from part 1.

Take Note:

1. In the response field, write an example of a compound inequality that uses OR.

2. On the canvas, sketch a graph of your OR-type compound inequality from part 1.

Problem 6 Got It? What is the solution of the inequality? Graph the solution on the canvas.
Include relevant details, label points of interest and establish scale.

🧠 Retrieval Practice:
Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

Video Check: Select all that apply with regards to the video embedded directly above this item.

Solve It! You want to download some new songs on your MP3 player. Each song will use about 4.3 MB of space. The amount of space available on your MP3 player is shown in the image. At most, how many songs can you download? Hint: 1 GB = 1000 MBEnter only a whole number without a comma.

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: What is a boundary point in an inequality?

Take Note: What does is mean when a boundary point in the graph of an inequality is solid?

Take Note: What does is mean when a boundary point in the graph of an inequality is open?

Take Note: Provide and example of a simplified inequality whose graph includes an open boundary point.

Problem 1 Got It?

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: Define solution of an inequality.

Take Note: How many solutions does the inequality x\leq2 have?

Take Note: Let a, b, and c represent real numbers.Categorize each general example of a property on the left based on the property's name.

Problem 2 Got It? What is the solution of the inequality?

Problem 2 Got It? Graph the solution from the previous item on the canvas. Include relevant details, label points of interest and establish scale.

Video Check: Select all that apply with regards to the video embedded directly above this item.

Problem 3 Got It?

Video Check: Select all that apply with regards to the video embedded directly above this item.

Problem 4 Got It?

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: Define compound inequality.

Take Note: Translate the word phrase into a simplified compound inequality:3 is less than x AND x is less than or equal to 7.5

Problem 5 Got It? What is the solution of the inequality? Graph the solution on the canvas. Include relevant details, label points of interest and establish scale.

Problem 5 Got It? Reasoning: Is the compound inequality in Problem 5 always, sometimes, or never true?

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note:1. In the response field, write an example of a compound inequality that uses AND.2. On the canvas, sketch a graph of your AND-type compound inequality from part 1.

Take Note: 1. In the response field, write an example of a compound inequality that uses OR.2. On the canvas, sketch a graph of your OR-type compound inequality from part 1.

Problem 6 Got It? What is the solution of the inequality? Graph the solution on the canvas. Include relevant details, label points of interest and establish scale.

Problem 6 Got It? What is the solution of the inequality? Graph the solution on the canvas. Include relevant details, label points of interest and establish scale.

🧠 Retrieval Practice:Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

Solve It! You want to download some new songs on your MP3 player. Each song will use about 4.3 MB of space. The amount of space available on your MP3 player is shown in the image. At most, how many songs can you download? Hint: 1 GB = 1000 MB

Enter only a whole number without a comma.

Take Note: Let a, b, and c represent real numbers.
Categorize each general example of a property on the left based on the property's name.

Problem 2 Got It? Graph the solution from the previous item on the canvas.
Include relevant details, label points of interest and establish scale.

Take Note: Translate the word phrase into a simplified compound inequality:

3 is less than x AND x is less than or equal to 7.5

Problem 5 Got It? What is the solution of the inequality? Graph the solution on the canvas.
Include relevant details, label points of interest and establish scale.

Take Note:

1. In the response field, write an example of a compound inequality that uses AND.

2. On the canvas, sketch a graph of your AND-type compound inequality from part 1.

Take Note:

1. In the response field, write an example of a compound inequality that uses OR.

2. On the canvas, sketch a graph of your OR-type compound inequality from part 1.

Problem 6 Got It? What is the solution of the inequality? Graph the solution on the canvas.
Include relevant details, label points of interest and establish scale.

Problem 6 Got It? What is the solution of the inequality? Graph the solution on the canvas.
Include relevant details, label points of interest and establish scale.

🧠 Retrieval Practice:
Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?