## How to Prepare for the ELM: California Entry Level Mathematics TestThis manual is designed to prepare undergraduate students in the California State University system to pass the California Entry Level Mathematics Test that must be taken by all students before graduation. It reviews arithmetic, algebra, and geometry, and offers three model ELM tests with questions answered and explained. |

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### Contents

Whole Numbers | 23 |

Decimals | 42 |

Averages | 58 |

PART THREE ALGEBRA | 65 |

Substitution | 72 |

Polynomials | 79 |

Division of Polynomials | 87 |

Solving Systems of Linear Equations | 106 |

Properties of Triangles | 139 |

Quadrilaterals and Polygons with More than Four Sides | 145 |

Geometry Problem Sets Answers | 156 |

Radicals | 162 |

The Distance Formula and the Midpoint Formula | 183 |

Intermediate Algebra Problem Sets Answers | 212 |

Model ELM Test I | 221 |

Model ELM Test II | 249 |

### Common terms and phrases

absolute value answer Arithmetic axis binomial called circle coefficient common denominator common factor congruent critical numbers decimal point diagram digit Divide division divisor ellipse endpoints equivalent Evaluate Example 1 Solve Example 2 Find expression exterior angle Five Intermediate Algebra Four Geometry geometric sequence Graph the solution greatest common factor hyperbola hypotenuse improper fraction inches indicated operations integers intersect interval isosceles length log2 loga logarithm measure midpoint mixed number Model ELM Test monomial Multiply both sides negative numbers number line numerator and denominator ordered pairs parentheses Pascal's triangle percent Perform the indicated polygon polynomial Problem Set proportion quadratic equation quadratic formula quadratic function quotient radicand ratio real numbers rectangle Rewrite right triangle rule scientific notation secant segment simplest radical form Simplify Sketch the graph slope solution set square root standard form subtract symbol Three Algebra variable vertex vertical whole number zero