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Unformatted text preview: minus a positive. 5. 10. (E) In right triangle ADB, the longest side is the hypotenuse AB. Therefore, AB &gt; BD. www.petersons.com Numbers and Operations, Algebra, and Functions DIAGNOSTIC TEST Directions: Answer the following 10 questions, limiting your time to 15 minutes. Note that question 1 is a grid-in question, in which you provide the numerical solution. (All other questions are in multiple-choice format.) 15 x 6 y3 y is equivalent to: y6 x 3 x Answers are at the end of the chapter. 1. The population of Urbanville has always doubled every five years. Urbanville’s current population is 25,600. What was its population 20 years ago? 4. For all x ≠ 0 and y ≠ 0, (A) (B) (C) (D) (E) 5. y2 x2 xy 1 x2 2 y3 x y3 If f(x) = x + 1, then f ( x ) × f x = (A) 1 (B) 1 x 1 1 2. Which of the following describes the union of the factors of 15, the factors of 30, and the factors of 75? (A) The factors of 15 (B) The factors of 30 (C) The factors of 45 (D) The factors of 75 (E) None of the above |–1 – 2| – |5 – 6| – |–3 + 4| = (A) –5 (B) –3 (C) 1 (D) 3 (E) 5 (C) (D) (E) 6. x x2 x x +1 If the domain of f(x) = − x is the set {–2, –1, 0, 5 2}, then f(x) CANNOT equal (A) (B) (C) (D) (E) −2 25 1 − 5 x 3. 0 5 50 7. Which of the following equations defines a function containing the (x,y) pairs (–1,–1) and (– 1 ,0)? 2 (A) y = 3x + 2 (B) y = 2x + 1 (C) y = 6x + 5 (D) y = –4x – 2 (E) y = 4x + 3 243 244 Chapter 15 8. The figure below shows the graph of a linear function on the xy-plane. 9. The figure below shows a parabola in the xyplane. If the x-intercept of line l is 4, what is the slope of l ? (A) (B) (C) (D) (E) 2 3 3 4 5 6 6 5 Which of the following equations does the graph best represent? (A) y = –x2 + 6x – 9 (B) y = x2 – 2x + 6 (C) y = 2 x2 – 4x + 6 3 (D) y = –x2 + x – 3 (E) y = x2 + 3x + 9 10. Which of the following best describes the 2 relationship between the graph of y = 2 and 2 x the graph of x = 2 in the xy-plane? (A) (B) (C) (D) (E) Mirror images symmetric...
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