Answer:
11.) 2x+b
12.) 2(x+y) or 2x+2y
13.) 4(a-b) or 4a-4b
14.) 4a-b
17.) 5 b^{2}c^{3}[/tex]
Step-by-step explanation:
11.) twice x means 2x. So we can now substitute "twice x" with 2x to help the question be less confusing. Our question is now: "The sum of 2x and b". Sum means this is addition, so the answer is 2x+b
12.) "Twice the sum of x and y". This is meant to trick you but it means "The sum of x and y two times." This can be written as 2(x+y). If you want to distribute it to it's simplest terms the answer can be written as 2x + 2y
13.) "4 times the difference of a and b". Same as question 12. The question is asking for the value of the difference of a and b, which is a-b, four times. We can write this as 4(a-b). If you want to simplify it, the answer can be written as 4a-4b
14.) "The difference of 4 times a and b". The "and" in the sentence tells us that it does not want the 4 times of b too. It's separated, meaning the equation should be written as 4a - b
17.) 5 x b x b x c x c x c. First we combine like terms. We have three different terms in this equation. 5, b, and c. There are two b's, so [tex]b*b=b^{2}[/tex]. There are three c's, so [tex]c*c*c=c^{3}[/tex]. Now that we've combined like terms, we can rewrite our equation as: [tex]5* b^{2}*c^{3} =5 b^{2}c^{3}[/tex]
