## Algebraic expression With example Problems and also Interactive Exercises

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

You are watching: Seven increased by the product of two numbers

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

Then 2 **·** g, or 2g deserve to represent "g teams of 2 students".

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

Example 1: Write each phrase as a mathematics 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 single number (17). This expression is a numerical expression, (also referred to as 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, climate the expression has a value of 15. So **9 + x** is an algebraic expression. In the next couple of examples, we will certainly be working exclusively with algebraic expressions.

Example 2: Write each phrase as one algebraic expression.

Phrase | Expression |

nine enhanced by a number x | 9 + x |

fourteen diminished by a number p | 14 - p |

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

the product the 9 and 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 which the expression consists of more than one number and/or operation.

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

Phrase | Expression |

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

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

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

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

Solution: Let e represent the number of employees in the company. The amount of money each employee will acquire is stood for by the adhering to algebraic expression:

Example 5: An electrician charges $45 every hour and spends $20 a job on gasoline. Write an algebraic expression to represent his income for one day.Solution: Let x represent the variety of hours the electrician functions 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 value of this number have the right to change. An **algebraic expression** is a math expression that consists of variables, numbers and also operations. The worth of this expression have the right to change.

**Exercises**

Directions: select the algebraic expression that appropriately represents the phrase provided. Choose your prize by clicking on its button. Feedback to your answer is listed in the outcomes BOX. If you make a mistake, select a various button.

1. | Fifteen less than twice a number |

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

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

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

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

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

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

30 + 7n | ||

30(7n) | ||

None of the above. See more: Chevrolet Astro Van Heater Control Valve Location, Just A Moment |

RESULTS BOX: |

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

30d | ||

30 + d | ||

None the the above |

RESULTS BOX: |