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## CLASS DETAILS

- Class Name:
- Shop Algebra Overview 200
- Description:
- This class explains basic principles of algebra and demonstrates how to solve equations containing multiple operations.
- Version:
- 1.0
- Difficulty:
- Intermediate
- Number of Lessons:
- 19
- Additional Language:
- Spanish, Chinese
- Related 2.0 Class:
- Algebra Fundamentals 141

## Class Outline

- Objectives
- What Is Algebra?
- Variables
- Order of Operations
- Grouping
- Symbols in Algebra
- Reducing Terms
- Factoring
- Distributing
- Balancing
- Addition and Subtraction
- Multiplication and Division
- Exponents and Radicals
- Multiple Operations
- Creating Equations
- Constants
- Formulas and Standards
- Working with Complex Equations
- Summary

## Objectives

- Describe the purpose of algebra.
- Define variable.
- Solve an expression by following the order of operations.
- Solve an expression by following the correct grouping of terms.
- Identify common symbols used in algebra.
- Demonstrate how to reduce like terms of an equation.
- Demonstrate factoring in an algebra equation.
- Demonstrate distribution in an algebra equation.
- Describe the process of balancing an equation.
- Demonstrate the additive inverse in an algebra equation.
- Demonstrate the multiplicative inverse in an algebra equation.
- Demonstrate how to use exponents and radicals to solve an equation.
- Demonstrate how to perform multiple operations to solve an equation.
- Change a story problem into an equation.
- Define constant.
- Define formula.
- Describe how standard units are used in formulas.
- Calculate an unknown variable in a story problem.

## Job Roles

## Certifications

SME- CMfgT

- CNC Lathe Operations
- CNC Milling Operations

- MSSC Quality Practices and Measurement

## Glossary

Vocabulary Term | Definition |
---|---|

additive inverse | A new operation that, through addition or subtraction, removes a number or variable from an equation. The additive inverse is the opposite of the number or variable that is removed. |

algebra | A branch of math that uses known quantities to find unknown quantities. In algebra, letters are sometimes used in place of numbers. |

balancing | Introducing a series of new operations to both sides of an equation to solve for an unknown variable. Whichever operations take place on one side also must take place on the other. |

common denominator | A term or number that evenly divides all of the terms or numbers that appear below the lines in multiple fractions. |

constant | A variable or number that does not change value. |

distributing | An operation in which the individual terms in a group are multiplied by the same term outside of the group. |

equation | A mathematical statement that shows the equality of two expressions. In 2 + 2 = 4, both sides of the equation are two different ways to express the same value. |

exponent | The proper term for a power. |

factoring | An operation in which the common number in a set of terms is factored or divided out. |

formula | A representation of a known equation using letters, numbers, and/or symbols. |

fraction line | The horizontal line that separates the numerator and denominator in a fraction. |

greatest common factor | The largest term or number that evenly divides each term of an expression. |

grouping | A method of organizing the sequence of mathematical operations by using symbols such as parentheses. |

multiplicative inverse | A new operation that, through multiplication or division, removes a number or variable from an equation. The multiplicative inverse is the opposite of the number or variable that is removed. |

nesting | The placement of a group of terms within a larger grouping of terms. |

numerator | The expression or number that appears above the line in a fraction. |

operation | A mathematical action or process such as addition or subtraction. |

order of operations | A set of mathematical rules that dictates the sequence in which operations must be performed. |

power | A value indicating how many times a number or variable is multiplied by itself to reach a new value. Powers, or exponents, are positioned above and to the right of another number or variable. |

radical | A checkmark-like symbol that indicates that the number inside of it should be read as the root of that number. |

reducing | The combining of similar terms to simplify an equation. Reducing often takes place through addition and subtraction. |

root | A value indicating how many times a new, unknown value must be multiplied by itself to equal the stated number or variable. A root is an inverse of a power operation. |

solving | Finding the solution or answer to a problem with an unknown variable. |

square root | A type of root that asks, "what number times itself is equal to the stated number or variable?" |

superscript | A small number, letter, or symbol that appears above and to the right of another number, letter, or symbol. |

term | A series of numbers or variables connected to one another by multiplication or division operations. |

variable | A symbol, such as a letter of the alphabet, that represents an unknown quantity. |