In these lessons, we will learn just how to write algebraic expressions for word problems. Us will begin with some common phrases discovered in native problems.

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The adhering to table offers some usual words or unit volume that room usually imply one that the four operations: add, subtract, multiply, divide. However, depending on the word problem, there space exceptions. Scroll under the page for an ext examples and also explanations.


Phrase to Algebraic Expression

To create an expression, we often have to analyze a written phrase.

For example, the expression “6 included to part number” can be composed as the expression x + 6, wherein the change x represents the unknown number.

Some instances of usual phrases and corresponding expressions the involve addition are:

Phrase Expression
4 much more than some number x + 4
a number boosted by 10 y + 10
8 plus some number t + 8
the amount of a number and 12 w + 12

Some instances of typical phrases and corresponding expressions that involve subtraction are:

Phrase Expression
4 less than some number x – 4
a number reduced by 10 y – 10
8 minus part number 8 – t
the difference between a number and 12 w – 12

Some instances of usual phrases and corresponding expressions that involve multiplication are:

phrase Expression
4 times some number 4x
double a number 2y
one-third of some number
the product the a number and also 12 12w

Some instances of usual phrases and also corresponding expressions the involve division are:

phrase Expression
the quotient of 4 and some number
a number split by 2
the proportion of 8 and some number
the quotient that a number and also 12

Some examples of usual phrases and corresponding expressions the involve two operations are:

expression Expression
6 much more than 5 time a number 5x + 6
4 time the amount of a number and also 7 4(y + 7)
5 much less than the product the 3 and also a number 3w – 5
double the difference in between a number and also 9 2(z – 9)
How execute You create Mathematical expression From word Problems?

There space so many words that you come throughout when you’re working on algebra problems, and these words room really password for very specific mathematical symbols.

how To create Algebraic Expressions because that Word Phrases, By examining The Language Used?

An algebraic expression is a mathematical expression that has a mix of numbers, variables and also operational symbols.A variable is a letter that deserve to represent one or an ext numbers.

How to compose expressions v variables?

Examples:Write the algebraic expression to stand for the statements.a) The sum of -7 and the amount 8 time xb) take it the quantity -3 time x and also then include 1.c) -6 plus the product the -1 and also x.

How to compose algebraic expressions with parentheses?


First consider the expression for-5 add to the amount of 4 times xNow take it the product of -8 and that expression and also then add 6.

First consider the expression forthe amount of 7 and the product of -2 and also xWhat expression would be:4 to add the amount of 2 times that expression.

How to write Equations native Word Problems?

This video clip teaches how to dissect a word difficulty in stimulate to specify a variable and also write an equation.

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Half the a number is 16. Write an equation to represent the situation. Specify your variable and solve.

Mrs. Gaddie has two dogs. Her girlfriend Anna-Marie has actually three less than double as countless as Mtr. Gaddie. How countless dogs does Anna-Marie have?

A recycling plant recycles 2 loads of can be ~ yesterday. This is a 3rd of their usual amount. Just how much walk the plant normally recycle?

How to create Algebraic Expressions because that Situations?

Example:Translate the adhering to phrases into algebraic or numeric expressions.a) 173 much less than a number ‘b’b) Quotient of 173 and also ‘b’c) ‘b’ times 173d) 173 an ext than ‘b’

Try the totally free Mathway calculator and also problem solver listed below to practice assorted math topics. Shot the offered examples, or form in your own problem and also check her answer with the step-by-step explanations.