The sum of 12 and the quanity 8 times a number k is equal to 48....
How would I write an expresion or inequality for that using > <? I really don't understand how to do this.
The sum of the number 12 +
the quantity 8 times a number k, 8k, is expressed by 12 + 8k = 48
You don't need to add any greater than or less than signs?
To write an expression or inequality for the given problem, follow these steps:
Step 1: Assign a variable to the unknown quantity. Let's call it "k."
Step 2: Translate the statement into an algebraic expression. The statement says "the sum of 12 and the quantity 8 times a number k is equal to 48."
The algebraic expression would be: 12 + 8k.
Step 3: Write an equality or inequality statement based on the given information. The statement says that the expression 12 + 8k is equal to 48, so we can write it as: 12 + 8k = 48.
Therefore, the algebraic expression and equation for the given problem are:
Algebraic expression: 12 + 8k
Equation: 12 + 8k = 48
To write an expression or inequality for the given problem, we need to break it down into smaller steps. Let's start by understanding the problem statement:
"The sum of 12 and the quantity 8 times a number k is equal to 48."
Step 1: Identify the unknown. In this case, the unknown is the number, k.
Step 2: Translate "The quantity 8 times a number k." This can be expressed as 8k.
Step 3: Translate "The sum of 12 and 8k is equal to 48" using an equation. The equation becomes: 12 + 8k = 48.
Now, to express this equation using inequality symbols, you have two options:
Option 1: To express that the given equation is greater than 48, write: 12 + 8k > 48.
Option 2: To express that the given equation is less than 48, write: 12 + 8k < 48.
These expressions or inequalities represent the relationship between the number k and the other quantities in the problem.
Remember, in mathematical equations or inequalities, the "greater than" symbol (>) indicates that the left side is larger than the right side, and the "less than" symbol (<) indicates that the left side is smaller than the right side.