Algebraic expression With instance Problems and also Interactive Exercises

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

You are watching: Which algebraic expression represents this phrase

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Problem: Ms. Jensen likes to divide her course into teams of 2. Use mathematical signs to stand for all the college student in she class.

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

Then 2 · g, or 2g deserve 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 provided to represent a number in one expression or one equation. The worth of this number have the right to vary (change). Let"s look at at an example in i m sorry we usage a variable.

Example 1: Write each expression as a mathematics expression.

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

The expression 9 + 8 represents a single number (17). This expression is a numerical expression, (also dubbed 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 value of 11. If x is 6, climate 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 solely with algebraic expressions.

Example 2: Write each expression as one algebraic expression.

PhraseExpression
nine boosted by a number x9 + x
fourteen diminished 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 divided by a number y32 ÷ y or
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In example 2, every algebraic expression contained one number, one operation and one variable. Let"s look at at an instance in i m sorry the expression is composed of an ext than one number and/or operation.

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

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

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

Solution: Let e represent the number of employees in the company. The lot of money each employee will gain is stood for by the adhering to algebraic expression:

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Example 5: An electrician charges $45 every hour and also spends $20 a work on gasoline. Write an algebraic expression to stand for his revenue for one day.

Solution: Let x represent the variety 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 supplied to represent a number in one expression or an equation. The value of this number deserve to change. An algebraic expression is a math expression that is composed of variables, numbers and also operations. The value of this expression have the right to change.

Exercises

Directions: choose the algebraic expression that effectively represents the phrase provided. Pick your answer by clicking on its button. Feedback to your answer is listed in the outcomes BOX. If you do a mistake, select a different button.

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

RESULTS BOX: 

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

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

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

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