Translate into a variable expression. Then simplify the expression.

Twice the sum of four times a number n and thirty.

Can you explain how to write it as a variable expression pls
Also what does "and" stand for here?

"and" usually suggests addition,

e.g. what is 5 and 6 ?

let the number be n
"the sum of 4 times a number and 30" --> 4n+30

now twice that ---> 2(4n+30)
= 8n + 60

One more than the product of one and a number xxx.

Translate into a variable expression and then simplify. five times the sum of a number and four

To write the given sentence as a variable expression, let's break it down step by step.

1. "Twice the sum of": This means we need to find the sum of two values.

2. "Four times a number n": We multiply the number n by 4.

3. "And": In this context, "and" represents addition.

4. "Thirty": This means we add 30 to the previous result.

Now, let's put these steps together to form the variable expression:

Step 1: Four times a number n: 4n
Step 2: The sum of 4n and thirty: 4n + 30
Step 3: Twice the sum of (4n + 30): 2(4n + 30)

To simplify the expression, we can distribute the 2 to both terms within the parentheses:

2(4n + 30) = 2 * 4n + 2 * 30

This simplifies to:

8n + 60

So, the simplified variable expression is 8n + 60.