Lesson 1.3.2: Solution sets for equations and inequalities |
For this lesson there are 14 steps for you to take. Scroll down and do each step one-by-one. The instructions under each step will help clarify exactly what you need to do, so please read all the instructions.
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Here is your Lesson 1.3.2 Worksheet
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1.) Start Notes: Targets
Title your notes and write the targets listed below.
Title your notes and write the targets listed below.
- I can explain that an equation or inequality with variables represents a question asking for the set of values one can assign to the variables to make the equation true.
- I can identify when the solution set of an equation is "all real numbers."
- I can represent the solution sets of equation and inequalities with a number line.
3.) Video: Warm Up Explained
Please watch this entire video. It explains the targets and the warm up. It summarizes most of what you will need to know for this lesson. |
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5.) Video: Visual Aid
In this video I explain how finding a solution set is kind of like a road blockade. I hope this is a good visual aid for you. |
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6.) Notes: Practice 1
Find the solution set of the equation 7 + p = 12
Find the solution set of the equation 7 + p = 12
7.) Video: Solution Set Definition
Watch this video to see how I found the solution set of practice 1 AND to see the definition for solution set. Make sure to copy the definition into your notes. |
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8.) Notes: Practice 2
Now find the solution set to this equation: 6x + 3 = 3(2x + 1)
Now find the solution set to this equation: 6x + 3 = 3(2x + 1)
9.) Video: Practice 2 Explained
Make sure to watch this video. I introduce what an "Identity" is and how we write the solution set to an identity. Very important to take notes on this video. |
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10.) Notes: Number Lines
How do we represent a solution set using a number line? Look at the last three examples we've done (the warm up, practice 1, and practice 2) and try to represent their solution sets using a number line. If you get stuck, the next video walks through the steps.
How do we represent a solution set using a number line? Look at the last three examples we've done (the warm up, practice 1, and practice 2) and try to represent their solution sets using a number line. If you get stuck, the next video walks through the steps.
11.) Video: Number Lines
Watch this video to see how to represent a solution set on a number line. It gives an extra example at the end that you will want to see. |
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12.) Notes: Inequalities
Now see if you remember how to find the solution set of an inequality. Find the solution set and represent it on a number line of this inequality: w + 2 > 4
Now see if you remember how to find the solution set of an inequality. Find the solution set and represent it on a number line of this inequality: w + 2 > 4
13.) Video: Inequalities
Watch this video to see how to show the solution sets of inequalities. There is an extra example in the video so make sure to take notes on all of it. |
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