## Algebraic expression With instance Problems and also Interactive Exercises

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

You are watching: The product of a number and 9

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

Then 2 **·** g, or 2g can represent "g groups of 2 students".

In the problem above, the change g to represent the variety of groups in Ms. Jensen"s class. A **variable** is a symbol used to represent a number in one expression or one equation. The value of this number deserve to vary (change). Let"s look at 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 also 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 deserve to change. If x is 2, then the expression **9 + x** has a worth 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 certainly be working exclusively with algebraic expressions.

Example 2: Write each phrase as an algebraic expression.

Phrase | Expression |

nine boosted by a number x | 9 + x |

fourteen lessened by a number p | 14 - p |

seven less than a number t | t - 7 |

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

thirty-two separated 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 instance in i beg your pardon the expression is composed of an ext than one number and/or operation.

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

Phrase | Expression |

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

the product of a number and also 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 variety of employees in the company. The lot of money every employee will obtain is represented by the complying with algebraic expression:

Example 5: An electrician dues $45 per hour and also spends $20 a day on gasoline. Create an algebraic expression to stand for his earnings 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 stood for by the following algebraic expression:

Solution: 45x - 20

Summary: A **variable** is a symbol used to represent a number in one expression or one equation. The worth of this number have the right to change. An **algebraic expression** is a mathematics expression that is composed of variables, numbers and also operations. The value of this expression can change.

**Exercises**

Directions: select the algebraic expression that properly represents the phrase provided. Pick your prize by clicking its button. Feedback to her answer is listed in the outcomes BOX. If you make a mistake, choose a different button.

1. | Fifteen much less than double a number |

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

2. | Three time a number, raised 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 seven times a number | |

30 + 7n | ||

30(7n) | ||

None the the above. See more: How Much Does A Chicken Breast Weigh, (Pound/Gram) |

RESULTS BOX: |

5. | Jenny earns $30 a work working part time in ~ a supermarket. Create an algebraic expression to stand for the lot of money she will certainly earn in d days. | |

30d | ||

30 + d | ||

None that the above |

RESULTS BOX: |