# Translate a sentence into an equation and solve

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:.

### Translate one-step equations and solve

It may be helpful to put a box primo mod apk onhax 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. 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. Note that this is different from the written examples on this page because we start with the mathematical equation then translate it into words.

Skip to main content. Module 2: The Language of Algebra. Search for:. Translating Words Into an Algebraic Equation and Solving Learning Outcomes Translate statements into algebraic equations involving addition, subtraction, multiplication, and division. Solution The word is tells us the equal sign goes between 9 and Translate the words to the left of the equals word into an algebraic expression. Translate the words to the right of the equals word into an algebraic expression.

Show Solution Solution The location of the word is tells us that the equal sign goes between 7 and Recognize the key words: twice; difference of …. Twice means two times. Licenses and Attributions.

CC licensed content, Original.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. 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.Keywords Examples. Once you've learned the basic keywords for translating word problems from English into mathematical expressions and equations, you'll be presented with various English expressions, and be told to perform the translation.

Don't view the lists of keywords as holy writ, handed down from on high. Instead, use these lists as helpful hints. But always use your head! If you're not sure of the proper translation, use numbers. If you're not certain of the construction, apply it to what you might encounter "in real life".

Above all, make sure that you understand what you're doing, and why. If you can clearly explain your work to a fellow student, then you're well on your way to mastery. Algebra Word Problems. The keyword "sum" tells me that they're wanting me to add the two listed quantities.

This translates to:. The order of the quantities doesn't matter here, since they're being added. But it's still a good idea to get in the habit of writing things in the specified order, because it'll matter in some contexts. This is the "less than" construction, which is backwards in the math from the English. They've given me some unknown quantity, xand they're telling me that they want the expression which stands for the quantity that is four units smaller than x.

To find this quantity, I'll need to subtract the four from the unknown. To be clear, "four less than the unknown " in English means " the unknownless four" in algebra. If you're not sure of this, plug numbers in. Use this same order in your algebraic expression. The keyword here is very obvious; "multiplied by" means that I'll be multiplying the unknown by the given value.

The order of the terms here is the unknownfollowed by the value that is being multiplied onto the unknown. However, in algebra, we put the constant in this case, the 13 in front of the unknown. So the English expression translates to:. The keyword here is "quotient", which tells me that one of the items is divided by the other. The order of the items is important here, because order matters in division. Since the unknown comes first in the English expression, this tells me that it's on top in the fraction.

Then this translates to:. The keyword here is "difference", telling me that one of the items is subtracted from the other.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.

## Translating Word Phrases to Algebraic Equations

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.

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.

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.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.

Algebra Word Problems Into Equations Video Tutorial - Basic Introduction

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. Some sentences will translate into equations with variables. The focus right now is just to translate the words into algebra. We will solve the equations by using the Subtraction and Addition Properties of Equality.

This is a lesson from the tutorial, The Language of Algebra and you are encouraged to log in or registerso that you can track your progress. Log In. Register or login to receive notifications when there's a reply to your comment or update on this information. 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.

To translate English sentences into inequalities, we need to recognize the phrases that indicate the inequality. But others are not as obvious. It means 21 or more. This is a lesson from the tutorial, Solving Linear Equations II and you are encouraged to log in or registerso that you can track your progress. Log In. Register or login to receive notifications when there's a reply to your comment or update on this information. 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.

## Writing Algebraic Equations

Toggle navigation. Search Log In. Translating to an Inequality and Solving. To do 2 min read. Translating to an Inequality and Solving To translate English sentences into inequalities, we need to recognize the phrases that indicate the inequality. The table below shows some common phrases that indicate inequalities.

Example Translate and solve. Then write the solution in interval notation and graph on the number line. Twelve times c is no more than Solution Translate.

Solve—divide both sides by Write in interval notation. Graph on the number line. Thirty less than x is at least Solve—add 30 to both sides. Share Thoughts. Solving Inequalities That Require Simplification.

Key Concepts. Share Thoughts Post Image. Cancel Reply. Add Math. Math Editor. Edit math using TeX:. Math preview:. Close Insert Math.