j IS 14 LESS THAN 22 WRITE AN EQUATION TO REPRESENT THIS PROBLEM SOLVE FOR j
The Correct Answer and Explanation is:
✅ Step 1: Translate the statement into an equation
The phrase “j is 14 less than 22” means you are taking 14 away from 22 to get j.
In math terms: j=22−14j = 22 – 14j=22−14
✅ Step 2: Solve the equation
j=22−14=8j = 22 – 14 = 8j=22−14=8
So, the correct answer is: j=8\boxed{j = 8}j=8
Explanation:
Understanding how to translate word problems into mathematical equations is a key skill in algebra and everyday math. In this problem, we are given a sentence: “j is 14 less than 22.” To solve it, we need to break the sentence down and understand what it means in mathematical terms.
Let’s begin with the phrase “14 less than 22.” This does not mean 14 minus 22. In English, when we say something is “less than” a number, we are subtracting from that number. So, “14 less than 22” means: 22−1422 – 1422−14
The word “is” in a math sentence usually translates to the equals sign “=”. So when the sentence says “j is 14 less than 22,” it’s telling us that j equals 22 minus 14.
So we write: j=22−14j = 22 – 14j=22−14
Now we perform the subtraction: 22−14=822 – 14 = 822−14=8
This gives us: j=8j = 8j=8
Therefore, the solution to the problem is: j=8\boxed{j = 8}j=8
This kind of problem helps us practice how to carefully read and interpret language in mathematical terms. Words like “less than,” “more than,” or “is” have specific meanings in math. Misunderstanding them can lead to incorrect equations, so it’s important to always break down each phrase clearly.
