Category: Translate a sentence into an equation and solve

Then the following equation can represent this problem:. Let's look at some examples of writing algebraic equations. In this lesson, we learned how to write a sentence as an algebraic equation. Directions: Select the algebraic equation that correctly represents the given sentence. Select your answer by clicking on its button. If you make a mistake, choose a different button. By signing up, you agree to receive useful information and to our privacy policy.

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Sentence Algebraic Equation A number increased by nine is fifteen. Sentence Algebraic Equation Twice a number, decreased by twenty-nine, is seven. Twelve is sixteen less than four times a number. Sentence Algebraic Equation Eleni is x years old. In thirteen years she will be twenty-four years old. Exercises Directions: Select the algebraic equation that correctly represents the given sentence.

Twice a number is twenty-eight. The quotient of thirty-nine and a number is three. Five less than three times a number is forty-six. Three is twenty-one, divided by the sum of a number and five.

If Eric deposits all of his earnings, then, how much money does he earn each week? Each piece of candy costs 25 cents. Suzanne made a withdrawal of d dollars from her savings account. A large pizza pie with 15 slices is shared among p students so that each student's share is 3 slices. Lessons on Pre-Algebra. Order of Operations. Order of Operations With Exponents.

Order of Operations with Integers.We will solve percent equations by using the methods we used to solve equations with fractions or decimals. In the past, you may have solved percent problems by setting them up as proportions. That was the best method available when you did not have the tools of algebra. Now as a prealgebra student, you can translate word sentences into algebraic equations, and then solve the equations. What amount would the tip be? The amount of the tip would be [latex]0. To find the amount of the tip, we multiplied the percent by the base.

In the next examples, we will find the amount. We must be sure to change the given percent to a decimal when we translate the words into an equation. In the following video we show another example of how to find the base or whole given percent and amount. Skip to main content.

Translating Word Problems: Examples

Module 7: Percents. Search for:. Show Solution Solution Translate into algebra. Show Solution Solution Translate. Divide both sides by [latex]0. Divide both sides by 0. Licenses and Attributions.

CC licensed content, Shared previously.But word problems do not have to be the worst part of a math class. By setting up a system and following it, you can be successful with word problems.

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So what should you do? Here are some recommended steps: Read the problem carefully and figure out what it is asking you to find. Usually, but not always, you can find this information at the end of the problem. Assign a variable to the quantity you are trying to find.

Most people choose to use x, but feel free to use any variable you like. For example, if you are being asked to find a number, some students like to use the variable n. It is your choice. Write down what the variable represents. At the time you decide what the variable will represent, you may think there is no need to write that down in words. However, by the time you read the problem several more times and solve the equation, it is easy to forget where you started. Re-read the problem and write an equation for the quantities given in the problem. This is where most students feel they have the most trouble.

The only way to truly master this step is through lots of practice. Be prepared to do a lot of problems. Examples If 4 is subtracted from twice a number, the result is 10 less than the number. Find the number. What is your answer?

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Last year Betty the cow gave gallons less than twice the amount from Bessie the cow. Together, Betty and Bessie produced gallons of milk. How many gallons did each cow give? Twice a number is added to the number and the answer is Jose has a board that is 44 inches long.

He wishes to cut it into two pieces so that one piece will be 6 inches longer than the other. How long should the shorter piece be? How much was she paid before deductions were taken out? The perimeter of a triangular lot is 72 meters. One side is 16 meters, and the other side is twice the first side.

Find the length of the third side. Site Navigation.Your browser seems to have Javascript disabled. We're sorry, but in order to log in and use all the features of this website, you will need to enable JavaScript in your browser.

In previous tutorials, we translated word sentences into equations. The first step is to look for the word or words that translate s to the equal sign. The table below reminds us of some of the words that translate to the equal sign.

The solution checks. This is a lesson from the tutorial, Solving Linear Equations I and you are encouraged to log in or registerso that you can track your progress.

Don't want to keep filling in name and email whenever you want to comment? Register or login to make commenting easier. Save my name, email, and website in this browser for the next time I comment. Toggle navigation. Search Log In. How to Translate an Equation and Solve. To do 1 min read. Example Solution Example Solution. How to Translate a word sentence to an algebraic equation. Translate to an equal sign.

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Solution Translate. Subtract 5 from both sides. Share Thoughts. How to Translate and Solve Applications. Share Thoughts Post Image. Cancel Reply. Add Math. Math Editor. Edit math using TeX:. Math preview:. Close Insert Math.When you enter an equation into the calculator, the calculator will begin by expanding simplifying the problem.

Then it will attempt to solve the equation by using one or more of the following: addition, subtraction, division, taking the square root of each side, factoring, and completing the square.

Note: exponents must be positive integers, no negatives, decimals, or variables. Exponents may not currently be placed on numbers, brackets, or parentheses. Parentheses and brackets [ ] may be used to group terms as in a standard equation or expression.

The calculator follows the standard order of operations taught by most algebra books - Parentheses, Exponents, Multiplication and Division, Addition and Subtraction. Looking for someone to help you with algebra?

At Wyzant, connect with algebra tutors and math tutors nearby.

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Prefer to meet online? Find online algebra tutors or online math tutors in a couple of clicks. Hint: Selecting "AUTO" in the variable box will make the calculator automatically solve for the first variable it sees. Quick-Start Guide When you enter an equation into the calculator, the calculator will begin by expanding simplifying the problem. Variables Any lowercase letter may be used as a variable. Parentheses and Brackets Parentheses and brackets [ ] may be used to group terms as in a standard equation or expression.

Order of Operations The calculator follows the standard order of operations taught by most algebra books - Parentheses, Exponents, Multiplication and Division, Addition and Subtraction. Tutoring Looking for someone to help you with algebra? Sign up for free to access more Algebra resources like. Wyzant Resources features blogs, videos, lessons, and more about Algebra and over other subjects. Stop struggling and start learning today with thousands of free resources! Mark favorite.Basic thing is to know how to translate mathematical phrases into algebraic expressions chapter: Mathematical phrases.

Translating a sentence into a one-step equation

When a mathematical phrase describes an equation or an inequality, the rules are basically the same. There is a difference of course: there is a phrase that indicate the equal sign or one of the inequality signs. Examples: Twelve less than a number is eight. Four more than twice a number is equal to nine. The sum of y and five equals three times y. The sum of three times x and eleven is greater than or equal to forty. Four times the difference of a number and five is greater than nine.

However, sometimes other phrases are used. Example: Nine less than a number is at least ten. It means the value have to be equal to ten or greater than ten. So the proper inequality sign is: greater than or equal to.

Nine less than a number is at least ten. Another example: The sum of two times a number and eight is not greater than five.

So the proper inequality sign is: less than or equal to. The sum of two times a number and eight is not greater than five. Next chapter. MATH - guick and easy. MATH - quick and easy. Main menu:. Back to content Back to main menu.Remember, an equation has an equal sign between two algebraic expressions. So if we have a sentence that tells us that two phrases are equal, we can translate it into an equation.

We look for clue words that mean equals. Some words that translate to the equal sign are:. It may be helpful to put a box around the equals word s in the sentence to help you focus separately on each phrase. Then translate each phrase into an expression, and write them on each side of the equal sign. We will practice translating word sentences into algebraic equations. Some of the sentences will be basic number facts with no variables to solve for.

How to Translate an Equation and Solve

Some sentences will translate into equations with variables. The focus right now is just to translate the words into algebra. Solution The location of the word is tells us that the equal sign goes between 7 and We will solve the equations by using the Subtraction and Addition Properties of Equality. 