Question

Write algebraic expressions to represent the following:

a) the sum of x and y b) the product of m and 7
c) the cost of 3 movie tickets at m dollars each d) 3 less than n, all divided by 4

Answer 1

`\rule{200}{2}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}`

write algebraic expressions to represent the following:

a) the sum of x and y b) the product of m and 7

c) the cost of 3 movie tickets at m dollars each d) 3 less than n, all divided by 4

`\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}`

First, "the sum of" indicates that we add.

Since we're asked to find the sum of x and y, we need to add them:-

• x+y

Now, the "product of" indicates that we multiply.

So we multiply m times 7, which can be written as follows:-

• 7m

If we have 3 movie tickets, and each of them costs m dollars, then in order to find the cost of all 3 movie tickets, we need to find the product of the total number of tickets times the cost of one ticket:-

So we multiply 3 times m, or

• 3m

Now, "3 less than n" indicates that we subtract 3 from n; this expression is divided by 4, or:-

• 
  `\bold{(3-n)/(4)}`

Good luck with your studies.

`\rule{200}{1}`

Answer 2

a) x + y

b) m x 7 or 7m

c) m x 3 or 3m

d)
`(n - 3)/(4)`

Explanation:

a) the sum of x and y

- the sum most likely always means addition

b) the product of m and 7

- the product usually means multiplucation

c) the cost of 3 movie tickets at m dollars each

- so your getting 3 movie tickets at $m

the total would be m + m + m which is the same as mutiplying m by 3

d) 3 less than n, all divided by 4

- 3 less than n

less than usually means subtraction

than divided by 4