## Algebraic expression With instance Problems and also Interactive Exercises

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

You are watching: Which algebraic expression represents this phrase

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

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

In the difficulty above, the variable g represents the number of groups in Ms. Jensen"s class. A **variable** is a symbol provided to represent a number in one expression or one equation. The worth of this number have the right to vary (change). Let"s look at at an example in i m sorry we usage a variable.

Example 1: Write each expression as a mathematics expression.

Phrase | Expression |

the sum of nine and also eight | 9 + 8 |

the amount of nine and also a number x | 9 + x |

The expression **9 + 8** represents a single number (17). This expression is a numerical expression, (also dubbed 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 value of 11. If x is 6, climate 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 solely with algebraic expressions.

Example 2: Write each expression as one algebraic expression.

Phrase | Expression |

nine boosted by a number x | 9 + x |

fourteen diminished by a number p | 14 - p |

seven less than a number t | t - 7 |

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

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

In example 2, every algebraic expression contained one number, one operation and one variable. Let"s look at at an instance in i m sorry 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 an ext than double a number | 2n + 5 |

the product of a number and 6 | 6n |

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

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

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

Example 5: An electrician charges $45 every hour and also spends $20 a work on gasoline. Write an algebraic expression to stand for his revenue 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 adhering to algebraic expression:

Solution: 45x - 20

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

**Exercises**

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

1. | Fifteen much less than twice a number |

15 - 2x2x + 152x - 15None that 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 of nine and a number, diminished by six |

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

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

30 + 7n | ||

30(7n) | ||

None of the above. See more: Kid Goku Turns Into Great Ape |

RESULTS BOX: |

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

30d | ||

30 + d | ||

None that the above |

RESULTS BOX: |