Simplified Expression Activity

For each problem, match the justification to the problem step.

Problem 1 | Justification |

4 + [2 (1+7) - 1] | |

4 + [2 (8) - 1] | |

4+[16-1] | |

4+[15] | |

19 |

Simplify the expression within the grouping

symbols.

symbols.

Combine like terms.

Multiply within the grouping symbols.

Combine like terms within the innermost

grouping symbols.

grouping symbols.

Start with a given expression.

Problem 2 | Justification |

7-(3x2)+4 | |

7-(6)+4 | |

1+4 | |

5 |

Combine like terms.

Start with a given expression.

Combine like terms.

Simplify the expression within the grouping

symbols.

symbols.

Problem 3 | Justification |

(3+2)+(12-7) | |

5+(12-7) | |

5+5 | |

10 |

Simplify the expression within the second set

of grouping symbols.

of grouping symbols.

Combine like terms.

Start with a given expression.

Simplify the expression within the first set of

grouping symbols.

grouping symbols.