## Algebraic expression With instance Problems and Interactive Exercises

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

You are watching: The product of a number and 7

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

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

In the trouble above, the variable g represents the number of groups in Ms. Jensen"s class. A **variable** is a symbol offered to represent a number in one expression or an equation. The value of this number deserve to vary (change). Let"s look at an example in i beg your pardon we use a variable.

Example 1: Write each phrase as a math expression.

Phrase | Expression |

the amount 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 value that deserve to change. If x is 2, climate the expression **9 + x** has a worth of 11. If x is 6, climate the expression has a value of 15. So **9 + x** is an algebraic expression. In the next couple of examples, we will be working specifically with algebraic expressions.

Example 2: Write each expression as one algebraic expression.

Phrase | Expression |

nine enhanced 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 that 9 and a number n | 9 · n or 9n |

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

In example 2, every algebraic expression consisted of one number, one operation and one variable. Let"s look at at an example in i m sorry the expression is composed of more than one number and/or operation.

Example 3: Write each phrase as one algebraic expression making use of the variable n.

Phrase | Expression |

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

the product that a number and 6 | 6n |

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

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

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

Example 5: An electrician dues $45 every hour and spends $20 a job on gasoline. Write an algebraic expression to represent his income for one day.Solution: Let x stand for the number 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 used to represent a number in one expression or an equation. The value of this number can change. An **algebraic expression** is a math expression that is composed of variables, numbers and also operations. The value of this expression deserve to change.

**Exercises**

Directions: select the algebraic expression that properly represents the expression provided. Select your prize by clicking on its button. Feedback to your answer is provided in the results BOX. If you do a mistake, pick a different button.

1. | Fifteen less than double a number |

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

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

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

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

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

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

30 + 7n | ||

30(7n) | ||

None the the above. See more: What Currency Is Used In Austria, Austrian Schilling |

RESULTS BOX: |

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

30d | ||

30 + d | ||

None the the above |

RESULTS BOX: |