## Algebraic expressions With example Problems and Interactive Exercises

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

You are watching: The product of nine and a number

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

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

In the difficulty above, the variable g represents the variety 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 worth of this number can vary (change). Let"s look at at an instance in i m sorry 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 a number x | 9 + 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 worth that can change. If x is 2, climate the expression **9 + x** has a worth of 11. If x is 6, then the expression has actually a value of 15. So **9 + x** is an algebraic expression. In the next few examples, we will be working specifically with algebraic expressions.

Example 2: Write each expression as one algebraic expression.

Phrase | Expression |

nine boosted by a number x | 9 + x |

fourteen reduced by a number p | 14 - p |

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

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

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

In example 2, each algebraic expression included one number, one operation and also one variable. Let"s look at at an example in i m sorry the expression consists of much more than one number and/or operation.

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

Phrase | Expression |

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

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

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

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

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

Example 5: An electrician fees $45 per hour and spends $20 a work on gasoline. Create an algebraic expression to stand for his revenue for one day.Solution: Let x stand for the variety of hours the electrician works in one day. The electrician"s earnings have the right to be represented by the adhering to algebraic expression:

Solution: 45x - 20

Summary: A **variable** is a symbol provided to represent a number in one expression or one 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 value of this expression have the right to change.

**Exercises**

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

1. | Fifteen less than twice a number |

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

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

3(a + 17)3a + 17(17 + 3)aNone that the above. RESULTS BOX: |

3. | The product the nine and a number, reduced by six |

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

4. | Thirty split by 7 times a number | |

30 + 7n | ||

30(7n) | ||

None of the above. See more: 2004 Honda Crv Maintenance Required Light ? Maintenance Required Light |

RESULTS BOX: |

5. | Jenny earns $30 a day working part time at a supermarket. Compose an algebraic expression to represent the quantity of money she will earn in d days. | |

30d | ||

30 + d | ||

None of the above |

RESULTS BOX: |