We can just put a negative sign in front of the variable.
If you’re not sure if you should multiply, add, or subtract, try “real numbers” to see what you should do.
You know she makes $30 an hour tutoring, and you already stated that the number of hours she tutors each week is x.
So, the expression describing how much she makes each week tutoring is 30x.
The problems here only involve one variable; later we’ll work on some that involve more than one.
Doing word problems is almost like learning a new language like Spanish or French; you can basically translate word-for-word from English to Math, and here are some translations: Note that most of these word problems can also be solved with Algebraic Linear Systems, here in the Systems of Linear Equations section.The answer key at the end of the post has detailed explanations to help you see the relationship between words and math in these types of questions. The sum of three consecutive positive integers is 111. Which equation shows how you could solve the problem? The term “consecutive positive integers” essentially means three whole numbers in a row, such as 1, 2, and 3. Since the numbers are consecutive, the second number in the series will be 1 more than x, and the third number in the series will be 2 more than x, so the three consecutive integers are x, x 1, and x 2.The sum of these three terms needs to be 111, so your equation will be: (x) (x 1) (x 2)=111 You can simplify the expression by combining like terms—in this example, adding the variables and then adding the constants.(x) (x 1) (x 2)=111 3x 1 2=111 3x 3=111 If you wanted to solve for x, you would isolate the variable by subtracting 3 from both sides, then dividing by 3: 3x 3=111 3x=108 x=36 So, the 3 consecutive integers are 36, 37, and 38. A This problem involves translating the words into mathematical expressions.The first equation is quite simple to set up, since you know that she works 5 hours each week: x y=5 Use the information about the money Audrey earns to set up the second equation.wiki How's Content Management Team carefully monitors the work from our editorial staff to ensure that each article meets our high quality standards. You can solve many real world problems with the help of math. In order to familiarize students with these kinds of problems, teachers include word problems in their math curriculum. The problem is asking for a number, so let’s make that \(n\).Now let’s try to translate word-for-word, and remember that the “opposite” of a number just means to make it negative if it’s positive or positive if it’s negative.However, word problems can present a real challenge if you don't know how to break them down and find the numbers underneath the story. Solving word problems is an art of transforming the words and sentences into mathematical expressions and then applying conventional algebraic techniques to solve the problem.