Algebraic expressions With instance Problems and Interactive Exercises

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

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Problem: Ms. Jensen likes to divide her course into groups of 2. Use mathematical symbols to stand for 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 difficulty above, the variable g represents the number 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 value of this number deserve to vary (change). Let"s look at an example in i m sorry we use a variable.

Example 1: Write each phrase as a math expression.

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

The expression 9 + 8 represents a solitary number (17). This expression is a numerical expression, (also dubbed an arithmetic expression). The expression 9 + x represents a value that have the right 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 worth 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 phrase as one algebraic expression.

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

In example 2, every algebraic expression included one number, one operation and one variable. Let"s look at at an instance in i beg your pardon the expression consists of more than one number and/or operation.

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

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

Example 4: A tiny company has actually $1000 to distribution to the employees as a bonus. How much money will each employee get?

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


Example 5: An electrician charges $45 every hour and spends $20 a day on gasoline. Compose an algebraic expression to represent his earnings for one day.

Solution: Let x stand for the number of hours the electrician works in one day. The electrician"s earnings can be stood for by the complying with algebraic expression:

Solution: 45x - 20

Summary: A variable is a symbol supplied to stand for a number in an expression or an 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 worth of this expression have the right to change.


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

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


2. Three time 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, reduced by six 
 9(m - 6)6(9 - m)9m - 6None of the above.


4. Thirty split by seven times a number 
 30 + 7n
None the 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 amount of money she will earn in d days. 
30 + d
None that the above