This is straight out of the PWN the SAT Math Guide, except I’ve deleted the page number references and inserted links to certain techniques. View the breakdown of Blue Book Test 1 here.

§ | p | # | Techniques and concepts | Diff. |

2 | 452 | 1 | Patterns | 1 |

2 | 452 | 2 | 1 | |

2 | 453 | 3 | Read the graph and the question carefully. | 1 |

2 | 453 | 4 | 3 | |

2 | 453 | 5 | Actually turn the book on your desk and see what the shape looks like when rotated. | 2 |

2 | 454 | 6 | Do the algebra: 2 x + 3 = 10, what is 4x? | 2 |

2 | 454 | 7 | 2 | |

2 | 454 | 8 | Break it into two rectangles. | 2 |

2 | 454 | 9 | Do the algebra carefully. | 2 |

2 | 455 | 10 | 3 | |

2 | 455 | 11 | First, read the graph carefully: the scales on the axes are different! Lines. | 2 |

2 | 455 | 12 | 3 | |

2 | 455 | 13 | Read the Venn diagram carefully. It might help to darken the boundaries of Y and Z. | 3 |

2 | 456 | 14 | 3 | |

2 | 456 | 15 | 4 | |

2 | 456 | 16 | 3 | |

2 | 456 | 17 | 3 | |

2 | 457 | 18 | 4 | |

2 | 457 | 19 | This one is a pain, but backsolving works if you don’t want to do algebra. | 4 |

2 | 457 | 20 | 5 | |

5 | 463 | 1 | Well, x must be 0, right? | 1 |

5 | 463 | 2 | 1 | |

5 | 464 | 3 | Plug in, Sets | 2 |

5 | 464 | 4 | 2 | |

5 | 464 | 5 | 2 | |

5 | 464 | 6 | 3 | |

5 | 465 | 7 | Graph amplification, or just plug in and graph if your calculator can. | 3 |

5 | 465 | 8 | 4 | |

5 | 466 | 9 | Do the algebra: 2 x + 5 = 14, solve for x. | 2 |

5 | 466 | 10 | 3 | |

5 | 467 | 11 | How many times does 0.25 fit into 8? | 2 |

5 | 467 | 12 | 4 | |

5 | 467 | 13 | 3 | |

5 | 467 | 14 | 3 | |

5 | 468 | 15 | Just walk through each choice keeping the goal in mind (and write everything down). | 3 |

5 | 468 | 16 | 4 | |

5 | 468 | 17 | Do the algebra: 1 + 0.07( t – 20) = 0.06t, solve for t. | 4 |

5 | 468 | 18 | Tricky (but fun!): p = 16k (count carefully) and a = 10k^{2}. Set them equal and solve for k. | 5 |

8 | 481 | 1 | Simplifying fractions? | 1 |

8 | 481 | 2 | 1 | |

8 | 482 | 3 | 1 | |

8 | 482 | 4 | 2 | |

8 | 482 | 5 | 2 | |

8 | 483 | 6 | 2 | |

8 | 483 | 7 | It might help to plug in, but make sure your numbers make sense on the diagram. | 3 |

8 | 483 | 8 | 3 | |

8 | 484 | 9 | Graph reflection | 2 |

8 | 484 | 10 | Backsolve carefully, or solve for the expression. | 3 |

8 | 484 | 11 | Inequalities | 3 |

8 | 485 | 12 | Picture that circle as a wheel rolling along. Those rectangles could be at any orientation. | 4 |

8 | 485 | 13 | 4 | |

8 | 485 | 14 | 5 | |

8 | 486 | 15 | Figure out what Tom paid for the room using percents, then multiply that by 4. | 5 |

8 | 486 | 16 | 5 |

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