## 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

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.

Phrase | Expression |

the amount of nine and also eight | 9 + 8 |

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

Phrase | Expression |

nine enhanced by a number x | 9 + x |

fourteen decreased by a number p | 14 - p |

seven less than a number t | t - 7 |

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

thirty-two separated by a number y | 32 ÷ y or |

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.

Phrase | Expression |

five an ext than double a number | 2n + 5 |

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

seven split by double a number | 7 ÷ 2n or |

three time a number lessened by 11 | 3n - 11 |

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:

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 | ||

30(7n) | ||

None that the above. See more: How Many Miles From San Jose To Sacramento, Ca, How Far Is San Jose From Sacramento |

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 | ||

30 + d | ||

None the the above |

RESULTS BOX: |