Division is not commutative, so you must pay close attention to the order in which you write the expression. Quotient is also a key word for division. Think of "of" meaning to multiply when you are working with fractions.
You are probably very used to translating words into numerical expressions.
As you begin to work with algebraic expressions more, you will see word problems that require you to use more than one operation. 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.
The key words are: The last operation that we will study is division. Algebraic Expressions and Key Words for Addition As, you can see from the red, bold words, the key words for addition are: Of is the tricky word. Key words for each operation are indicated in bold.
Remember that subtraction is not commutative, so the order in which write the digits does matter! Please also remember that addition is commutative; therefore, you can reverse the digits and you will end up with the same answer.
How to Write an Algebra Expression By Amy Harris; Updated April 24, In order to write algebraic expressions successfully, you must have some familiarity with fundamental algebraic operations and key terms. In this case, reverse the order.
Tip You may interchange the order of variables and constants for addition. If the phrasing indicates division, create a fraction with the variable and indicated number.
We will study this in more depth as we get into writing and solving algebraic word problems. Write it in lowercase text. The next lesson in this unit is on simplifying algebraic expressions.
The difference between a numerical expression and an algebra expression is that we will be using variables when writing an algebraic expression. Expressions can consist of variables, constants and operating symbols such as plus or minus signs.
This is most important for operations that are not commutative, such as subtraction and division. This will help you to easily translate the expression.
Pay close attention to the "key words" that represent mathematical operations. This is a very brief lesson on simple algebraic expressions. Expressions with More Than One Operation Many people struggle with translating word problems into algebraic expressions. If the phrasing indicates addition, place a plus sign between the designated variables and constants.
For instance, you must know the significance of a variable, which is a letter that acts as a placeholder for an unknown number. You may choose any letter of the alphabet.
We are used to seeing the words, plus, sum, difference, minus, product Instead of "8 plus 9" with two given numbersyou would see, "a number plus 9".
This skill will come in handy when working with word problems or real life situations. Take a look at these few examples: A quotient is the answer to a division problem.An algebraic expression is a mathematical phrase that contains a combination of numbers, variables and operational symbols.
A variable is a letter that can represent one or more numbers. How to write expressions with variables? Translating Phrases into Algebraic Expressions Worksheets. Linear Algebraic Expressions. Translate each phrase into a linear algebraic expression.
Each expression is in the form of ax + b, where x is any variable; a and b are constants. Hard level is in the form of c(ax+b), c is a constant. In Example 2, each algebraic expression consisted of one number, one operation and one variable. Let's look at an example in which the expression consists of more than one number and/or operation.
Example 3: Write each phrase as an algebraic expression using the variable n. Variable and Verbal Expressions Date_____ Period____ Write each as an algebraic expression. 1) the difference of 10 and 5 2) the quotient of 14 and 7 3) u decreased by 17 4) half of 14 5) x increased by 6 6) the product of x and 7 7) the sum of q and 8 8) 6 squared 9) twice q 10) the product of 8 and Write each phrase as an algebraic expression.
1. 12 more than a number 2. The quotient of a number and 9 3. 4 times a number cubed decreased by 7 4. 15 less than a number squared 5. 3 more than 5 times the number of dogs 6. The product of 5 and y added to 3 7. 4 times the number of cows plus 2 times the number of ducks.
How to Write an Algebra Expression By Amy Harris; Updated April 24, In order to write algebraic expressions successfully, you must have some familiarity with fundamental algebraic operations and key .Download