Algebraic expressions With example Problems and Interactive Exercises

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

You are watching: The product of nine and a number


Problem: Ms. Jensen likes to division her course into groups of 2. Usage mathematical symbols to represent all the student in her class.

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

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

In the difficulty above, the variable g represents the variety of groups in Ms. Jensen"s class. A variable is a symbol used to stand for a number in an expression or an equation. The worth of this number can vary (change). Let"s look at at an instance in i m sorry we use a variable.

Example 1: Write each phrase as a mathematical expression.

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

The expression 9 + 8 represents a solitary number (17). This expression is a numerical expression, (also called an arithmetic expression). The expression 9 + x represents a worth that can change. If x is 2, climate 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 few examples, we will be working specifically with algebraic expressions.

Example 2: Write each expression as one algebraic expression.

nine boosted by a number x9 + x
fourteen reduced 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 divided by a number y32 ÷ y or

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

Example 3: Write each phrase as an algebraic expression utilizing the change n.

five more than twice a number2n + 5
the product the a number and also 66n
seven separated by twice a number÷ 2n or
three time a number reduced by 113n - 11

Example 4: A small company has actually $1000 to distribute to the employees together a bonus. Exactly 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 obtain is stood for by the following algebraic expression:


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

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

Solution: 45x - 20

Summary: A variable is a symbol provided to represent a number in one expression or one equation. The value of this number have the right to change. An algebraic expression is a math expression that consists of variables, numbers and operations. The value of this expression have the right to change.


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

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


2. Three time a number, enhanced by seventeen 
 3(a + 17)3a + 17(17 + 3)aNone that the above.


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


4. Thirty split by 7 times a number 
 30 + 7n
None of the above.

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5. Jenny earns $30 a day working part time at a supermarket. Compose an algebraic expression to represent the quantity of money she will earn in d days. 
30 + d
None of the above