Writing an algebraic expression when a phrase is given is what this lesson will show you. With each example, we show you the key word that is important to identify and understand in order to write the expression correctly.
Example #1
6 more than n
Key word : more than
More than indicates addition. Add the first number 6 to the second number n
The algebraic expression is n + 6
Notice that we added 6 to n and not n to 6. Technically, 6 + n is n more than 6 although n + 6 will yield the same answer as 6 + n.
Example #2
The difference of x and 9.
Key word : difference
Difference indicates subtraction. Start with the first number x. Then, subtract the second number 9.
The algebraic expression is x - 9
Notice that we wrote x first. The number after ' of ' is written down first.
Example #3
The difference of 9 and x.
The expression is 9 - x
Example #4
two less than m.
Key word : less than
Less than indicates subtraction. Subtract the first number 2 from the second number m
The algebraic expression is m - 2
Notice that the phrase " two subtracted from m " is the same as the phrase " two less than m "
Be careful!
Two less than m is not the same as m less than two.
Let m = 5 for instance. two less than m is m - 2 = 5 - 2 = 3
However, m less than 2 is 2 - m = 2 - 5 = -3
Example #5
The product of x and 10
Key word : product
Product indicates multiplication. Multiply the first number x by the second number 10. We get x10, but we prefer to write 10x
The algebraic expression is 10x
Example #6
The quotient of n and 5
Key word : quotient
Quotient indicates division. Divide the first number n by the second number 5.
The algebraic expression is n / 5
Example #7
Six less than the product of 12 and y
Key word : six less and product
Product of 12 and y is 12y
Six less than the product of 12 and y is 12y - 6
Example #8
15 more than twice a number
Key word : more than and twice
Twice = two times
Let n be the number.
The algebraic expression is 2n + 15
Jun 20, 18 04:10 PM
Learn how to solve exponential equations quickly with this lesson that is easy to understand
New math lessons
Your email is safe with us. We will only use it to inform you about new math lessons.
Jun 20, 18 04:10 PM
Learn how to solve exponential equations quickly with this lesson that is easy to understand
Our Top Pages
Formula for percentage
Compatible numbers
Basic math test
Basic math formulas
Types of angles
Math problem solver
Algebra word problems
Surface area of a cube
Finding the average
Scale drawings
Everything you need to prepare for an important exam!
K-12 tests, GED math test, basic math tests, geometry tests, algebra tests.
Real Life Math Skills
Learn about investing money, budgeting your money, paying taxes, mortgage loans, and even the math involved in playing baseball.