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I used elimination in this blog to find x. All you need to do for elimination, is to create zero pairs, which we already had on y. There was a positive and negative y. I cancelled those out, and added the 8x and the 4x together to get 12x, and added the result of the equations, which came to 24. I divided both sides by 12, and got x = 2.
on 
Using the numbers from my last blog post, I’m going to incorporate the result of our slope equation into our new equation, y=mx+b. The y and the x don’t need to be solved for, which was hard for me to understand at first. But I like to think of them as substitutes. They’re just there to replace the y and x axis until they come into play. B, however, needs to have a number in it. In this example I used 4.
on This week, we learned how to find the slope.
The coordinates I used would look like this:
(3,4) (6,9)
All you have to do is plug in the numbers, and you’re set to go!
The slope for this equation would be 6/2, or 3.
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on In this video I explain the exponent rules. You must have the same base for each. For the multiplication rule, you add the exponents, whereas in the division rule, you subtract the exponents. In the power of a power rule, you multiply the exponents.
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In step one, I wrote down the function provided. In step two, I drew a T-chart with the x and y numbers. I used 1, 2 and 3, but you can use any numbers. The y coordinates weren’t provided, so I just left them as question marks. In step three, I wrote down the function provided, replacing the x with one of the numbers on the x side of the T-chart. To the side, I graphed the coordinates that I figured out above.
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With Differences of Squares, it’s very simple. All you have do is start by identifying that it’s a difference of squares. For one, there must be an x^2 in front of it, followed by a binomial with a perfect square. 144 is a perfect square. I dropped the numbers down and got x and 12. I then put them into the brackets and got (x+12)(x+12).
on This past week we learned how to expand binomials into trinomials using the distributive property. This way of expanding is the best for me personally because it takes the least time. (And it’s kind of fun). In the picture attached below, I show how to use distributive property in a method called the ‘claw’ because in the way it’s shown, it looks kind of like a claw or a hook. It’s the most time-efficient way of turning binomials into trinomials.
on This week we learned about how to show and simplify a binomial using two different methods: tiles and the box method. I personally prefer the box method, although it took me longer to understand. I do like the tile method because it lays everything out for you, but it’s tedious and takes much longer than other methods. In the picture, I show how to use different methods for the same question.
on This week, we learned about how to calculate the side length of a triangle using ratios. In this example, I used the tangent ratio, to give myself a bit of a challenge. I really struggled with remembering how to reciprocate the ratio when the X is on the bottom. The final answer, 46 m makes total sense, because it’s the much larger than the opposite side, but smaller than the hypotenuse. If this question were to ask me to solve the triangle, I would’ve used Pythagorean Theorem to determine the hypotenuse, and subtracted 90 and 39 from 180 to determine the last angle.
