Translation of verbal phrases to mathematical phrases worksheets with answers

Steps for Translating Algebraic Expressions to Verbal Phrases

Step 1: Identify the operations used in the algebraic expression such as addition, subtraction, multiplication, and division.

Step 2: Create a sentence where each of these operations is represented by a vocabulary term put together with the numbers.

If a variable is used, we can say "a number" or "some number."

You might use "sum" or "add" for addition, "minus" or "difference" for subtraction, "product" or "times" for multiplication, or "quotient" for division. These are just examples. There are many more!

Vocabulary for Algebraic Expressions

Here are some words you may use to represent each operation, but you can also come up with some of your own, as long as they represent the correct operation!

Now let's walk through two examples that follow these steps to translate algebraic expressions into verbal phrases.

Example Problem 1- Translating Algebraic Expressions

Write a verbal expression that represents the following algebraic expression:

{eq}3x - 4 {/eq}

Step 1: Here we have multiplication between 3 and x and subtraction between that term and 4.

Step 2: For multiplication, we have plenty of terms to choose from. Let's use "product." We can say "the product of 3 and some number."

For subtraction, we also have some choices. If we use "less than," we can create a sentence saying:

{eq}4\:less\:than\:the\: product\: of\: 3\: and\: some\: number {/eq}

Example Problem 2- Translating Algebraic Expressions

Write a verbal expression that represents the following algebraic expression:

{eq}3 + x + \frac{y}{2} {/eq}

Step 1: Here we have addition of 3, x, and y divided by 2.

Step 2: Let's start with the division. We can use "quotient" to say "the quotient of a number and 2."

Now let's look at the addition. We can use the keyword "sum" and say

{eq}the\:sum\:of\:3,\:a\:number,\:and\:the\:quotient\:of\:another\:number\:and\:2 {/eq}

• Notice here, we change the word representing y to "another number" in order to show that it is a different variable from x, which is mentioned first in our phrase.

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Inspire a sound streak of terrific translation practice among students with our printable translating phrases into algebraic expressions worksheets on translating commonly used words and phrases into mathematical expressions. Our pdf worksheets consisting of word exercises help students figure out how to frame linear or algebraic expressions. With 8 exercises on translating verbal phrases into algebraic expressions involving single and multiple variables stuffed into free worksheets, children will never look wanting for practice.

We suggest these resources for students of grade 6, grade 7, and grade 8.

CCSS: 6.EE, 7.EE

Translating Linear Phrases | Worksheet #1

If translating algebraic expressions has long been your Achilles heel, here's a super-useful tool. Help yourself write simple linear expressions involving addition, subtraction, multiplication, and division with this free activity worksheet.

Translating Linear Phrases | Worksheet #2

Don't let linear expressions freak you out! In this pdf worksheet, students solve 8 basic verbal phrases with words like "sum", "times", "half", and "add to" and translate them into linear expressions involving a single variable. Suitable for grade 6 and grade 7 children.

Translating Algebraic Phrases | Worksheet #1

Writing algebraic expressions is not as hard a nut to crack as many think it is. The key in this free worksheet is to identify the keywords that show the obvious mathematical operation at play so translating the verbal phrases into mathematical expressions is easy.

Translating Algebraic Phrases | Worksheet #2

With phrases like "diminished", "multiplied by the cube", and "raised to the third power" in action, this pdf has a lot to offer. Observe keenly and translate the algebraic phrases into their equivalent expressions. Ideal for 7th grade and 8th grade.

Translating Phrases | Multivariable

Get used to phrases like "increased by the product of" and "reduced by the sum of" before forming the correct algebraic expressions in this translating phrases worksheet where there're two or more variables involved.

Translating Inequality Phrases Worksheets

Plug into our all-new collection of printable translating phrases worksheets that present verbal phrases of inequalities. Study the written descriptions and translate them as one-step or two-step inequalities.

What are the example of mathematical phrases?