For today, you are Google Translator in a special language of mathematical. Let’s get this started in your default system!
When you have come across to a word problem, you always wonder what’s the first thing to do because it looks hard. However, it’s not hard when you know that verbs can become your equal sign, and whatever math terms, like difference and sum, would indicate you what integer to use. What could become an integer aren’t just these words, like more than or less than, where your values have been switch to each other.
The second step is coming to equations that are from two sentences because they aren’t just one big line of numbers. They are set to be on top of each other, in order to use the methods of substitution or elimination. Which you have to learn in recent classes, and my Edublog post to view them.
- find the x-value for your coordinate, which you can insert to the next equation that look the easiest to solve.
- replace the variable to the matching number to give you the y-value of the coordinate.
- the most important step is to verify your equation by inserting the numbers of the variables in one of the equations.
What about applying these skills in money values? Is there a specific way of translating down your equation. I’m here to make this easy for you that the total of the coins would be to your types of coins. While, the value of how much the person has spent would be your types of coins with their own value of how much they are. These would let you use the methods as later on in problem-solving.
As for example, in the bakery, Joe has gone to buy his cupcakes and has a total of $80 of ten-dollar and five-dollar bills. If he has 12 bills in total, how much of domination does he have for the birthday party? Since, we can declare the ten-dollar are the x, and the five-dollar are the y-value. Let’s say that 80 = 10x +5y, because that’s their total of cost for what he has brought. Therefore, the next equation to set up is that the return of his money are twelve of his bills, which we can translate that 12 = x + y for their amount. This would let us choose our methods.
- I’m going to set the substitution method, since the variable are one of their coefficient. Which the variable you have to switch would become as their opposite of their integer sign. In this case, the x-value has become as a negative, like y = 12 – x.
- We could replace the y – value in the first equation we have set up, then use our distributive of property to get rid of the brackets.
- Our algebra skills would help us to solve this, which the x- value is 4. And the y-value is 8.
- with our declaration of before, we have known that the cashier has given him four of his ten-dollar, and eight of his five-dollar bills, which he has in his wallet for now.
The last word problem that requires many of your thinking to power up your brain is distance. The formula to this set is speed times the time of the clock, which gives you the amount for distance. This is included as a triangle for easier to memorize, and you might have learned this in the physics unit in science class.
The first thing to do to make it less stressful for you is to set them in a table of their category for whatever words you have found in the word problem that are able to put in the chart. Once, you have finish categorizing the numbers, then you know that the number of distance is equal to your time and speed, which was repeated in my introduction. This applies as an equation to the other one.
However, when there are too many numbers, that jungle up to your x and y-values from declaring. Then it’s best to add or subtract the numbers to make your answer for what makes sense. As for example, Joe has taken his run in the morning, but he has to make a 10-minutes stop in Gates Park and a 20-minute stop in Lions Park because he was distracted from the salmons. You can see that there shouldn’t be two numbers in the Time category from his run in the morning. Therefore, we can subtract these numbers to know that he has gone for a total of 10-minute as his stop, which is a good record for him! We could continue on to translating our sentences, and writing our answer that applies to the question they are asking.
