To solve problems like these, we simply need to break down the words and form the equation.
In this case, we start off with "The quotient," so we know we are talking about division. Next, we see "of 24 and," which means it has to be "24/ something."
24/
Finally, for this one, we see "twice a number." Number almost always means the variable (n), while twice means 2. This gives us 2n.
24/2n
Using the reasoning above, we can see that the first problem could be represented by 24/2n.
For the second problem, we can use the same reasoning on different values. We start off with "4 times," which can be represented as 4*.
4*
Next, we have "a number," which as stated previously, is almost always our variable (n).
4*n OR 4n
Finally, we have "decreased by two." Decreased generally refers to subtraction, while 2 is the value we are subtracting.
4n-2
Using the reasoning above, we can see the equation to represent the second problem is 4n-2.
You need to distribute 15x(10x - 4). 15x times 10x is 150x and since there is 2 x's your gonna square it. So then it would be 150x². next 15x times -4 is -60 and add your x. Your answer is 150x² - 60x.
