Algebraic expression With example Problems and Interactive Exercises

Use the following examples and also interactive practice to learn about Writing Algebraic Expressions.

You are watching: 14 more than twice a number

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Problem: Ms. Jensen likes to divide her class into groups of 2. Usage 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 deserve to represent "g teams 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 offered to stand for a number in one expression or one equation. The worth of this number can vary (change). Let"s look at an example in which we use a variable.

Example 1: Write each phrase as a mathematical expression.

PhraseExpression
the amount of nine and also 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 referred to as an arithmetic expression). The expression 9 + x represents a worth that can change. If x is 2, then the expression 9 + x has a worth of 11. If x is 6, climate the expression has a worth of 15. So 9 + x is an algebraic expression. In the next few examples, we will be working solely with algebraic expressions.

Example 2: Write each phrase as one algebraic expression.

PhraseExpression
nine enhanced by a number x9 + x
fourteen decreased by a number p14 - p
seven less than a number tt - 7
the product of 9 and also a number n· n or 9n
thirty-two separated by a number y32 ÷ y or
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In instance 2, each algebraic expression had one number, one operation and one variable. Let"s look at at an example in which the expression is composed of an ext than one number and/or operation.

Example 3: Write each phrase as one algebraic expression using the change n.

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

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

Solution: Let e represent the number of employees in the company. The quantity of money each employee will gain is represented by the complying with algebraic expression:

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Example 5: An electrician dues $45 every hour and spends $20 a work on gasoline. Compose an algebraic expression to stand for his income for one day.

Solution: Let x represent the variety of hours the electrician works in one day. The electrician"s earnings deserve to be stood for by the following algebraic expression:

Solution: 45x - 20

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

Exercises

Directions: pick the algebraic expression that correctly represents the expression provided. Pick your answer by clicking on its button. Feedback to her answer is detailed in the outcomes BOX. If you do a mistake, choose a different button.

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

RESULTS BOX: 

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

RESULTS BOX: 

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

RESULTS BOX: 

4. Thirty split by seven times a number 
 30 + 7n
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30(7n)
None that the above.

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RESULTS BOX:
5. Jenny earns $30 a day working part time at a supermarket. Create an algebraic expression to stand for the amount of money she will certainly earn in d days. 
 30d
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30 + d
None the the above
 
RESULTS BOX: