## 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: 5 more than 2 times a number

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

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

In the problem above, the variable g represents the variety of groups in Ms. Jensen"s class. A **variable** is a symbol offered to represent a number in an expression or an equation. The value of this number deserve to vary (change). Let"s watch at an example in which we usage a variable.

Example 1: Write each phrase as a mathematical expression.

Phrase | Expression |

the amount of nine and eight | 9 + 8 |

the sum of nine and 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, climate the expression **9 + x** has a value of 11. If x is 6, then 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 expression as one algebraic expression.

Phrase | Expression |

nine raised by a number x | 9 + x |

fourteen lessened by a number p | 14 - p |

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

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

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

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

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

Phrase | Expression |

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

the product of a number and 6 | 6n |

seven divided 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 lot of money every employee will get is represented by the complying with algebraic expression:

Example 5: An electrician dues $45 per hour and spends $20 a work on gasoline. Write an algebraic expression to stand for his earnings for one day.Solution: Let x represent the variety of hours the electrician functions in one day. The electrician"s earnings deserve to be represented by the following algebraic expression:

Solution: 45x - 20

Summary: A **variable** is a symbol supplied to represent a number in an expression or one equation. The value of this number deserve to change. An **algebraic expression** is a math expression that is composed of variables, numbers and operations. The value of this expression can change.

**Exercises**

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

1. | Fifteen much 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 of the above. RESULTS BOX: |

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

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

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

30 + 7n | ||

30(7n) | ||

None of the above. See more: How Much Is A Larry Bird Card Worth, Most Valuable Larry Bird Cards |

RESULTS BOX: |

5. | Jenny earns $30 a work working part time at a supermarket. Write an algebraic expression to represent the amount of money she will certainly earn in d days. | |

30d | ||

30 + d | ||

None that the above |

RESULTS BOX: |