# Algebra Placement

(Elementary Algebra: Linear Equations in One Variable) | |

1. | A student has earned scores of 87, 81, and 88 on the first 3 of 4 tests. If the student wants an average (arithmetic mean) of exactly 87, what score must she earn on the fourth test?A. 85B. 86C. 87D. 92E. 93 |

(Elementary Algebra: Basic Operations with Polynomials) | |

2. | Which of the following expressions represents the product of 3 less than twice x and 2 more than the quantity 3 times x ?A. –6x^{2} + 25x + 6B. 6x^{2} + 5x + 6C. 6x^{2} – 5x + 6D. 6x^{2} – 5x – 6E. 6x^{2} – 13x – 6 |

(Elementary Algebra: Substituting Values into Algebraic Expressions) | |

3. | If x = –1 and y = 2, what is the value of the expression 2x^{3} – 3xy ?A. 8B. 4C. –1D. –4E. –8 |

(Intermediate Algebra: Rational Expressions) | |

4. | For all r 2, = ?A. B. C. D. E. |

(Coordinate Geometry: Linear Equations in Two Variables) | |

5. | What is the equation of the line that contains the points with (x,y) coordinates A. y = 3x – 2B. y = x + 10C. y = –x + 8D. y = –x + E. y = –x + 4 |

**Answers:**

1. D

2. D

3. B

4. A

5. E

*These items are not actual items from ACT Compass ^{®} but are similar in content and format. These items are presented for illustrative purposes and do not constitute a full representation of item content.*