# RADICAL EXPRESSIONS

Sections:

Adding and Subtracting

All Topics - Mixed Review

Distance and Midpoint

Multiplying

Pythagorean Theorem

Simplifying

Solving Radical Equations

Adding and Subtracting:

Name | Type | Description | Funsheet | Key | Standard | Key |

Adding and Subtracting Like Radicals 1 | Riddle | Students will add or subtract two like radicals. | ||||

Adding and Subtracting Unlike Radicals 3 | Standard | Most with 3 terms. | ||||

Adding and Subtracting Unlike Radicals 4 | Riddle | Students must simplify to add or subtract radicals. Some with 3 or 4 terms. |

All Topics - Mixed Review:

Name | Type | Description | Funsheet | Key | Standard | Key |

Radical Operations as Shaded Area Problems | Standard | Students must use multiplication, addition and subtraction to solve shaded area problems. Assumes student knows area formulas. |

Distance and Midpoint:

Name | Type | Description | Funsheet | Key | Standard | Key |

Distance Formula | Riddle | Distance between two points. All points are integers. Radical answers in simplest form. | ||||

Distance Formula as Perimeter Problems | Standard | Given coordinates of a shape, students use the distance formula to calculate lengths of each side to find perimeter. | ||||

Midpoint Formula | Riddle | Midpoint of two points. All points are integers. Non integer answers left as improper fractions. |

Multiplying:

Name | Type | Description | Funsheet | Key | Standard | Key |

Distributive Property | Riddle | Students will use the distributive property with numerical radicals only (no variables). | ||||

Multiplying Radicals 1 | Riddle | Students will multiply two numerical radicals only. | ||||

Multiplying Radicals 2 | Riddle | Students will multiply two radicals, single variable expressions. | ||||

Multiplying Radicals 3 | Color Pattern | Some with 3 factors, up to single variable expressions only. | ||||

Squaring Binomial Radicals | Riddle | No variables. |

Pythagorean Theorem:

Name | Type | Description | Funsheet | Key | Standard | Key |

A Ladder Problem | Problem Solving | Could also be solved using trig functions. | ||||

Pythagorean Theorem | Riddle | Students will find missing length of right triangle. All integer answers. |

Simplifying:

Name | Type | Description | Funsheet | Key | Standard | Key |

Simplify Numerical Radicals | Riddle | Simplify numerical radicals only. | ||||

Simplify Numerical Radicals 2 | Riddle | Simplify numerical radicals only. | ||||

Simplify Numerical Radicals 3 | Riddle | Simplify numerical radicals only. These problems have numbers outside the radical. | ||||

Simplify Radical Expressions | Riddle | Single variable radicals only. | ||||

Simplify Radical Expressions With 2 Variables | Riddle | Students will simplify radical expressions with two variables. | ||||

Simplify Radical Expressions With 3 Variables | Riddle | Students will simplify radical expressions with three variables. | ||||

Simplifying Fraction Radicals | Riddle | Students will simplify fractions with radicals. Radicals are numerical only, no variables. | ||||

Simplifying Fraction Radicals 2 | Riddle | Students will simplify radical fractions. single variable terms. | ||||

Simplifying Radical Expressions by Rationalizing the Denominator | Riddle | Mostly numerical denominators < 20, though a few have variables. |

Solving Radical Equations:

Name | Type | Description | Funsheet | Key | Standard | Key |

Solving Radical Equations 1 | Riddle | Solve by isolating the radical. | ||||

Solving Radical Equations 2 | Riddle | Radicals on both sides. | ||||

Solving Radical Equations 3 | Riddle | Easy FOIL required to solve. Check for extraneous solutions. | ||||

Solving Radical Equations 4 | Pair-Share | Answers match in each row. Use as partner activity or as self-check for individual work. |