Algebraic expression With instance Problems and Interactive Exercises

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

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

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

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

In the trouble above, the variable g represents the number of groups in Ms. Jensen"s class. A variable is a symbol offered to represent a number in one expression or an equation. The value of this number deserve to vary (change). Let"s look at an example in i beg your pardon we use a variable.

Example 1: Write each phrase as a math expression.

PhraseExpression
the amount 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 value that deserve to change. If x is 2, climate the expression 9 + x has a worth of 11. If x is 6, climate the expression has a value of 15. So 9 + x is an algebraic expression. In the next couple of examples, we will be working specifically with algebraic expressions.

Example 2: Write each expression as one algebraic expression.

PhraseExpression
nine enhanced 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 divided by a number y32 ÷ y or
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In example 2, every algebraic expression consisted of one number, one operation and one variable. Let"s look at at an example in i m sorry the expression is composed of more than one number and/or operation.

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

PhraseExpression
five much more than twice a number2n + 5
the product that a number and 66n
seven split by twice a number÷ 2n or
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three time a number diminished by 113n - 11

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Example 4: A little company has $1000 to distribute to its employees as a bonus. Just how much money will certainly each employee get?

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

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

Solution: Let x stand for the number of hours the electrician functions in one day. The electrician"s earnings deserve to be stood for by the adhering to algebraic expression:

Solution: 45x - 20

Summary: A variable is a symbol used to represent a number in one expression or an equation. The value of this number can change. An algebraic expression is a math expression that is composed of variables, numbers and also operations. The value of this expression deserve to change.

Exercises

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

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

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

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

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

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