### Translating algebraic expressions practice

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This will help the students to translate real-life problems into algebraic expressions and find a solution in an easier way. Access some of these worksheets for free!

Translate each phrase into a linear algebraic expression. Sheet 1 Sheet 2 Sheet 3 Grab 'em All. The pdf worksheets contain phrases, which need to be translated into algebraic expressions.

Each worksheet has 10 verbal phrases, which should be translated into algebraic expressions. An expression involves two or more variables with or without a constant. Translate each phrase into one-step linear equation. These pdf worksheets for grade 6 are classified into easy and moderate levels. Set up the multi-step equations by translating the verbal phrases.

This will help students to solve multi-step equations involving word problems. Translate the phrases into inequalities, which involve a linear function. This section contains phrases, which are a mixture of linear equations and inequalities.

The printable worksheets are distributed in two levels: Easy and Moderate, to suit grade 7 and grade 8 practice. Members have exclusive facilities to download an individual worksheet, or an entire level. Login Become a Member.

Linear Algebraic Expressions Translate each phrase into a linear algebraic expression. Translating Linear Equations: Multi-Step Set up the multi-step equations by translating the verbal phrases.

What's New? Follow us. Not a Member?Remember, an equation has an equal sign between two algebraic expressions.

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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. 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.Students walk into class and pick up the packet for the day. They get to work quickly on the problems. Often, I create do nows that have problems that connect to the task that students will be working on that day.

For this lesson I want students to practice change expressions from word form to numerical form before we start working with algebraic expressions.

To check the do now, display answers from 1 a — h. I ask students to share with their partner which number sentences result in the same answer. After a minute of sharing, I ask students to share out. I want students to share that a and b have the same answer as well as g and h. I call on students to share their mathematical thinking.

In the past I have found that many students mistakenly think that problems like and as well as 2 divided by 1 and 1 divided by 2 are equivalent. I want to address those misconceptions in the do now before moving on to algebraic expressions and equations. I ask students to share out one thing that they wrote down on their do now that will help make today a productive math class.

## Translating Phrases into Algebraic Expressions Worksheets

I find that students enjoy sharing out these goals — it is a way for them to be held accountable by their teacher and peers. After the Do Now, I have a student read the objectives for the day.

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I tell students that they will be connecting their knowledge operations to algebraic expressions and equations. I call on students to read the vocabulary words and the examples. Students have to copy each example in the appropriate column, expression or equation, and then identify coefficients, constants, and variables.

I am walking around and making sure students are on task and that they are using their notes to correctly identify the vocabulary words.

We will address any questions or misunderstandings. Here students are using MP3: Construct viable arguments and critique the reasoning of others. I tell students that in algebra they are going to be using variables to represent a situation. Before we model situations using variables, expressions, and equations we need to be able to translate expressions and equations between word form and algebraic form.

I write example 1 and 2 in algebraic form. We go through the table and I ask students to identify which operation matches which group of expressions.

I then show students the different ways to represent those expressions parentheses, dot, fraction bar, etc. I stress that the order of the variable and the number matter for division and subtraction.

I mention the do now problems where we showed that the quotient of two and one is different than the quotient of one and two.

### Translating Algebra Expressions

How can write an expression to represent them? Many students struggle that these phrases are represented by n and not 12 — n, the way that the values appear in the phrase.

Palmer has n dollars. Eric has 12 dollars less than her. How much money does Eric have?In the previous section, we listed many operation symbols that are used in algebra, and then we translated expressions and equations into word phrases and sentences.

They are summarized below. Each phrase tells you to operate on two numbers. Look for the words of and and to find the numbers. Solution 1. The key word is differencewhich tells us the operation is subtraction.

Look for the words of and and to find the numbers to subtract. The key word is quotientwhich tells us the operation is division.

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The key words are more than. They tell us the operation is addition. The key words are less than. They tell us the operation is subtraction. There are two operation words: times tells us to multiply and sum tells us to add. To take a sum, we look for the words of and and to see what is being added. In part 1, we add first and in part 2, we multiply first. Write an expression for the height of the window. Blanca has dimes and quarters in her purse. Write an expression for the number of dimes. Skip to main content.

Module 2: The Language of Algebra. Search for:. Translating Algebraic Expressions From Words Learning Outcomes Translate word phrases into algebraic expressions Write an algebraic expression that represents the relationship between two measurements such as length and width or the amount of different types of coins. What age is eight more years than your age now? Eight more than means eight added to your present age. How old were you seven years ago? This is seven years less than your age now.

Seven less than means seven subtracted from your present age. Show Solution Solution: 1. Show Solution Solution Write a phrase about the height. CC licensed content, Original.You've learned how to work with variables and how to evaluate algebra expressions, now we are going to translate words into algebraic expressions. This skill will come in handy when working with word problems or real life situations.

Pay close attention to the "key words" that represent mathematical operations. The good news is that these very same words that we use to write numerical expressions are going to be used to write algebra expressions. The difference between a numerical expression and an algebra expression is that we will be using variables when writing an algebraic expression.

Instead of "8 plus 9" with two given numbersyou would see, "a number plus 9". We don't know exactly "what number", so we would use a variable to indicate that it can be any number.

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Key words for each operation are indicated in bold. This will help you to easily translate the expression. As, you can see from the red, bold words, the key words for addition are: sum, more than, plus, increase, add, older than.

Please also remember that addition is commutative; therefore, you can reverse the digits and you will end up with the same answer. Our key words for subtraction are: minus, less, subtract, decrease, younger than, and lowered. Remember that subtraction is not commutative, so the order in which write the digits does matter! The key words for multiplication are: times, product, twice, doubled, multiplied, and of.

Of is the tricky word. This is mostly used when you are multiplying a fraction times a number. The last operation that we will study is division. Division is not commutative, so you must pay close attention to the order in which you write the expression. Division is much more simple.

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The key words are: divided by and divided into. Play close attention to the order in which it is written. As you begin to work with algebraic expressions more, you will see word problems that require you to use more than one operation.

Many people struggle with translating word problems into algebraic expressions. This is a very brief lesson on simple algebraic expressions. One of the most important things to remember is to look for key words and to make sure that your expression matches the context of the word problem.

This is most important for operations that are not commutative, such as subtraction and division. The next lesson in this unit is on simplifying algebraic expressions. Click here for more information on our affordable subscription options. Not ready to subscribe? Click here for more information on our Algebra Class e-courses. On this site, I recommend only two products that I use and love. One is Mathway and the other is Magoosh.This math worksheet was created on and has been viewed times this week and 2, times this month.

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For more like this, use the search bar to look for some or all of these keywords: algebra, mathematics, math, algebraic, phrases, translating, translate, words. More Algebra Worksheets. For more like this, use the search bar to look for some or all of these keywords: algebra, mathematics, math, algebraic, phrases, translating, translate, words Print Open Download.

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