The base of a triangle is 6cm. The height of the triangle is 10cm. What is the area of the triangle?
To solve this problem, we must understand what the formula is for the area of a triangle. The formula for the area of a triangle is Area = (b x h) / 2, where b is the base and h is the height. We plug in the information that we are given in the problem. We will have Area = ( 6 x 10) / 2. Order of operations tells us that we must do the operation inside of the parenthesis. We will now have Area = 60 / 2. Now we will divide to give us 30. The area of the triangle is 30cm
Karen has 9 apples. John has 6 apples. Karen gave John 3 apples. How many apples does Karen have now? How many apples does John have now?
First we look at what we are doing. Karen is giving John 3 apples. Karen originally started out with 9 apples. If we take away 3 apples from 9 apples, we are left with 6 apples. Therefore, to answer our first question, Karen has 6 apples. To answer the second question, we must add 3 apples to the amount of apples that John has. John started out with 6 apples. If we add 6 + 3, we get 9 apples. John now has 9 apples.
Kelly spent $42 for shoes. This was $14 dollars less than twice what she spend for a pair of jeans. How much were the jeans?
The way that we would solve this problem is simple. First we will put all of the information we have into an equation. We will use this equation: 2x - 14 = 42. 2x represents that the shoes were twice the price of the jeans. We then look at the key word of the problem, "less than." This means that we are going to do the subtraction operation in the problem. So we will subtract 14. 42 is the price of the of the shoes. At this point, we will start to solve the equation. The first move we will make is moving the 14 to the other side of the equal sign. We will do this by a technique called "zero pair." We have to do the opposite operation of what the equation is doing. What you do to one side of the equation, you must do to the other. So our equation will look like this: 2x - 14 + 14 = 42 + 14 Now we will clean up our mess by canceling out the - 14 + 14 on the left side and adding 14 to 42 to have this equation. 2x = 56 Now, to get x by itself, we will divide both sides by 2. Remember, what you do to one side, you must do to the other. When we divide by 2 we are left with this: x = 28 28 is our answer and it represents how much the jeans cost in our problem. To check our answer, we can plug 28 back into the equation to make sure that both sides of the of the equation are equal 2(28) - 14 = 42 56 - 14 = 42 42 = 42