Chapter 24

# Answers for Practice Exam 1, Mathematical Reasoning

This chapter provides you with answers and explanations for the Mathematical Reasoning practice test in Chapter 23. The answers tell you whether you answered the questions right or wrong, but the explanations are even more important. They explain why your answers were right or wrong and give you some hints about the areas tested. Reading the explanations and checking the areas where your answers weren’t the best will help you identify where you should spend more time preparing for the test.

## Answers and Explanations

**C. Sign D offers the worst deal.** This problem tests your understanding of numbers and their equivalents (integers, fractions, decimals, and percents) in a real-world situation. Signs A, B, and C give customers 50% off. Sign D gives them 45% (9 × 5% sales tax). Sign D offers the least discount.
**A.** **ab** **must be perpendicular to** **ad.** This problem involves measurement and geometry and tests your understanding of perpendicular and parallel lines in a geometrical figure. Frames are rectangles. Each pair of opposite sides must be parallel and intersecting sides (*ab* and *ad*) must be perpendicular.
**$1,680.** This problem tests your knowledge and mastery of number operations and number sense. Use a calculator, because numerous conversions are involved, including the following:
- Area of the deck is 16 × 21 = 336 square feet
- 9 square feet = 1 square yard
- 37.33 square yards

Because you have to buy carpet at a full square ...