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Grades 9-10 Video Solutions 2022
2022_9-10_06
2022_9-10_06
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Video Transcription
Question 6. I am less than my half and greater than my double. The sum of me and my square is zero. Who am I? To start off with, let's find out the first sentence. I am less than my half and greater than my double. So, to do this, we can divide all of our answers by 2. When we do this, we will see which of these values is less than their half and greater than their double. With this, we can cross off C, D, and E, and we are left with A and B, negative 2 and negative 1. Next, let's look at the second statement. The sum of me and my square is zero. To do this, we will do negative 2 plus the product of negative 2 times negative 2, as well as negative 1 plus the product of negative 1 and negative 1. Let's start off with negative 2 first. We end up with negative 2 plus 4, which gives us 2. So the sum of me and my square is zero does not apply here. It cannot be A. We do this for negative 1. We end up with negative 1 plus 1, which gives us zero. So our answer will be B, negative 1.
Video Summary
Question 6. I am less than my half and greater than my double. The sum of me and my square is zero. Who am I? To start off with, let's find out the first sentence. I am less than my half and greater than my double. So, to do this, we can divide all of our answers by 2. When we do this, we will see which of these values is less than their half and greater than their double. With this, we can cross off C, D, and E, and we are left with A and B, negative 2 and negative 1. Next, let's look at the second statement. The sum of me and my square is zero. To do this, we will do negative 2 plus the product of negative 2 times negative 2, as well as negative 1 plus the product of negative 1 and negative 1. Let's start off with negative 2 first. We end up with negative 2 plus 4, which gives us 2. So the sum of me and my square is zero does not apply here. It cannot be A. We do this for negative 1. We end up with negative 1 plus 1, which gives us zero. So our answer will be B, negative 1.
Keywords
math puzzle
logic problem
negative numbers
algebra
solution
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