## Algebraic expressions With example Problems and Interactive Exercises

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

You are watching: 12 more than a number algebraic expression

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

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

In the trouble above, the variable g to represent the variety of groups in Ms. Jensen"s class. A **variable** is a symbol supplied to stand for a number in an expression or one equation. The worth of this number deserve to vary (change). Let"s look at at an example in i m sorry 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 also a number x | 9 + x |

The expression **9 + 8** represents a solitary number (17). This expression is a numerical expression, (also referred to as an arithmetic expression). The expression **9 + x** represents a value 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 actually a value of 15. So **9 + x** is an algebraic expression. In the next couple of examples, we will be working exclusively with algebraic expressions.

Example 2: Write each phrase as an 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 that 9 and a number n | 9 · n or 9n |

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

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

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

Phrase | Expression |

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

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

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

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

Solution: Let e represent the number of employees in the company. The quantity of money every employee will gain is represented by the adhering to algebraic expression:

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

Solution: 45x - 20

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

**Exercises**

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

1. | Fifteen much less than twice a number |

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

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

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

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

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

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

30 + 7n | ||

30(7n) | ||

None that the above. See more: Where Is James Jt Taylor Now, James Jt Taylor (Official) Page |

RESULTS BOX: |

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

30d | ||

30 + d | ||

None that the above |

RESULTS BOX: |