How do you write the expression for: the sum of twice a number and half the number is 10?

Question: How do you write the expression for: the sum of twice a number and half the number is 10?

Answer: 2 times a number plus half a number must equal 10, therefore let the number be a. So 2 times a plus half of a is equal to 10

2(a)+​ ​\(\displaystyle\frac{1}{2} \)​ (a)=10

so is equal

2a + ​\( \displaystyle\frac{a}{2} \)​ =10

How do you write: Five times the sum of a number and one?

Question: How do you write: Five times the sum of a number and one?

Answer: To write Five times the sum of a number and one you first make “a number” into a variable. In this case let’s call it k.

Let’s write the expression showing the sum of a number now: k + 1

And then to multiply five times this number, let’s multiply the expression above by five: 5⋅ (n + 1)