Algebraic expressions With example Problems and Interactive Exercises

Use the adhering to examples and interactive practice to learn around Writing Algebraic Expressions.

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Problem: Ms. Jensen likes to divide her class into groups of 2. Use mathematical icons to represent all the student in her class.

Solution: Let g represent the number of groups in Ms. Jensen"s class.

Then 2 · g, or 2g have the right to represent "g groups of 2 students".

In the trouble above, the variable g to represent the variety of groups in Ms. Jensen"s class. A variable is a symbol supplied to stand for a number in an expression or one equation. The worth of this number deserve to vary (change). Let"s look at at an example in i m sorry we use a variable.

Example 1: Write each phrase as a mathematics expression.

the sum of nine and eight9 + 8
the amount of nine and also a number x9 + x

The expression 9 + 8 represents a solitary number (17). This expression is a numerical expression, (also referred to as an arithmetic expression). The expression 9 + x represents a value that deserve to change. If x is 2, then the expression 9 + x has a worth of 11. If x is 6, then the expression has actually a value of 15. So 9 + x is an algebraic expression. In the next couple of examples, we will be working exclusively with algebraic expressions.

Example 2: Write each phrase as an algebraic expression.

nine raised by a number x9 + x
fourteen lessened by a number p14 - p
seven much less than a number tt - 7
the product that 9 and a number n· n or 9n
thirty-two separated by a number y32 ÷ y or

In example 2, each algebraic expression contained one number, one operation and also one variable. Let"s watch at an example in i m sorry the expression consists of much more than one number and/or operation.

Example 3: Write each expression as an algebraic expression making use of the variable n.

five an ext than double a number2n + 5
the product of a number and also 66n
seven separated by double a number÷ 2n or
three time a number decreased by 113n - 11

Example 4: A small company has $1000 to distribution to that is employees together a bonus. Just how much money will each employee get?

Solution: Let e represent the number of employees in the company. The quantity of money every employee will gain is represented by the adhering to algebraic expression:


Example 5: An electrician fees $45 per hour and also spends $20 a work on gasoline. Create an algebraic expression to stand for his income for one day.

Solution: Let x stand for the number of hours the electrician functions in one day. The electrician"s earnings have the right to be represented by the following algebraic expression:

Solution: 45x - 20

Summary: A variable is a symbol used to represent a number in an expression or an equation. The value of this number can change. An algebraic expression is a mathematics expression that is composed of variables, numbers and operations. The worth of this expression have the right to change.


Directions: pick the algebraic expression that properly represents the expression provided. Pick your prize by clicking its button. Feedback to her answer is detailed in the results BOX. If you do a mistake, select a various button.

1. Fifteen much less than twice a number 
 15 - 2x2x + 152x - 15None of the above.


2. Three times a number, boosted by seventeen 
 3(a + 17)3a + 17(17 + 3)aNone the the above.


3. The product the nine and also a number, lessened by six 
 9(m - 6)6(9 - m)9m - 6None of the above.


4. Thirty separated by 7 times a number 
 30 + 7n
None that the above.

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5. Jenny earns $30 a work working component time in ~ a supermarket. Write an algebraic expression to represent the quantity of money she will certainly earn in d days. 
30 + d
None that the above