## Algebraic Expressions With Example Problems and Interenergetic Exercises

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

You are watching: Write as an algebraic expression 22 of a

Solution: Let g represent the number of teams in Ms. Jensen"s course.

Then 2 **·** g, or 2g have the right to recurrent "g groups of 2 students".

In the problem above, the variable g represents the variety of teams in Ms. Jensen"s course. A **variable** is a symbol offered to recurrent a number in an expression or an equation. The value of this number deserve to differ (change). Let"s look at an example in which we use a variable.

Example 1: Write each phrase as a mathematical expression.

Phrase | Expression |

the sum of nine and eight | 9 + 8 |

the amount of nine and also a number x | 9 + x |

The expression **9 + 8** represents a single number (17). This expression is a numerical expression, (also called an arithmetic expression). The expression **9 + x** represents a value that can change. If x is 2, then the expression **9 + x** has a worth of 11. If x is 6, then the expression has a value of 15. So **9 + x** is an algebraic expression. In the next few examples, we will be working exclusively through algebraic expressions.

Example 2: Write each expression as an algebraic expression.

Phrase | Expression |

nine boosted by a number x | 9 + x |

fourteenager reduced by a number p | 14 - p |

salso much less than a number t | t - 7 |

the product of 9 and a number n | 9 · n or 9n |

thirty-2 divided by a number y | 32 ÷ y or |

In Example 2, each algebraic expression consisted of one number, one procedure and one variable. Let"s look at an example in which the expression is composed of even more than one number and/or operation.

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

Phrase | Expression |

5 more than twice a number | 2n + 5 |

the product of a number and also 6 | 6n |

seven divided by twice a number | 7 ÷ 2n or |

three times a number decreased by 11 | 3n - 11 |

Solution: Let e reexisting the variety of employees in the company. The amount of money each employee will gain is represented by the complying with algebraic expression:

Example 5: An electrician charges $45 per hour and also spends $20 a day on gasoline. Write an algebraic expression to reexisting his earnings for someday.Solution: Let x represent the variety of hours the electrician works in at some point. The electrician"s income deserve to be represented by the complying with algebraic expression:

Solution: 45x - 20

Summary: A **variable** is a symbol used to recurrent a number in an expression or an equation. The worth of this number deserve to change. An **algebraic expression** is a mathematical expression that consists of variables, numbers and operations. The worth of this expression have the right to readjust.

**Exercises**

Directions: Choose the algebraic expression that correctly represents the expression provided. Select your answer by clicking its switch. Feedback to your answer is offered in the RESULTS BOX. If you make a mistake, select a various switch.

1. | Fifteen much less than twice a number |

15 - 2x2x + 152x - 15None of the over. RESULTS BOX: |

2. | Three times a number, enhanced by seventeen |

3(a + 17)3a + 17(17 + 3)aNone of the over. RESULTS BOX: |

3. | The product of nine and also a number, decreased by six |

9(m - 6)6(9 - m)9m - 6None of the above. RESULTS BOX: |

4. | Thirty divided by salso times a number | |

30 + 7n | ||

30(7n) | ||

Namong the over. See more: Why Try To Change Me Now Lyrics, Why Try To Change Me Now |

RESULTS BOX: |

5. | Jenny earns $30 a day functioning part time at a supersector. Write an algebraic expression to represent the amount of money she will earn in d days. | |

30d | ||

30 + d | ||

None of the above |

RESULTS BOX: |