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Part A: Write an algebraic expression for 8 more than 5 times a number. Part B: What is another way this expression can be read?
Start by choosing a variable to represent the number. Which letter do you like as a variable, x, n, a, b, ...? It's your choice.
i believe its x/5?
Great. We'll use x. How do you show 5 times a number if the number is x?
No. x/5 means x divided by 5. Remember that a fraction means division. We want to show 5 times x, not x divided by 5.
wait no sorry 5*x
or 5 ⋅ x
Correct, but in math, we are lazy, so we want to write as little as possible, so we normally shorten 5 * x to simply 5x.
5x means 5 times the number represented by the variable x, or simply, 5 times a number. Now we have another step. We need to show 8 more than 5x.
For example, 8 more than 2 is 10, and 8 more than 10 is 18. What operation do you do with 8 and 2 to end up with 10? What operation do you do with 8 and 10 to end up with 18?
Exactly. To show a number is 8 more than another number, you add 8 to the number. Here we need to add 8 to 5x. We end up with 5x + 8
This answers part A.: 5x + 8
Now we can look at part B.
We need to read the expression 5x + 8 in a different way. You can say: "5 times a number more than 8" Also: "5 times a number increased by 8" Also: "8 more than the product of 5 and a number"