New SAT Math Workbook

# In the number 23 the base number is 2 and the

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Unformatted text preview: f sets A and B is a set containing how many members? 4. The set of all multiples of 10 could be the intersection of which of the following pairs of sets? 5 (A) The set of all multiples of 2 ; the set of all multiples of 2 3 (B) The set of all multiples of 5 ; the set of all multiples of 5 3 (C) The set of all multiples of 2 ; the set of all multiples of 10 3 (D) The set of all multiples of 4 ; the set of all multiples of 2 5 (E) The set of all multiples of 2 ; the set of all multiples of 4 For all real numbers x, sets P, Q, and R are defined as follows: P:{x ≥ –10} Q:{x ≥ 10} R:{|x| ≤ 10} Which of the following indicates the intersection of sets P, Q, and R ? (A) x = any real number (B) x ≥ –10 (C) x ≥ 10 (D) x = 10 (E) –10 ≤ x ≤ 10 2. 5. 3. The union of sets X and Y is a set that contains exactly two members. Which of the following pairs of sets could be sets X and Y ? (A) The prime factors of 15; the prime factors of 30 (B) The prime factors of 14; the prime factors of 51 (C) The prime factors of 19; the prime factors of 38 (D) The prime factors of 22; the prime factors of 25 (E) The prime factors of 39; the prime factors of 52 www.petersons.com Numbers and Operations, Algebra, and Functions 249 3. ABSOLUTE VALUE The absolute value of a real number refers to the number’s distance from zero (the origin) on the real-number line. The absolute value of x is indicated as |x|. The absolute value of a negative number always has a positive value. Example: |–2 – 3| – |2 – 3| = (A) –2 (B) –1 (C) 0 (D) 1 (E) 4 Solution: The correct answer is (E). |–2 – 3| = |–5| = 5, and |2 – 3| = |–1| = 1. Performing subtraction: 5 – 1 = 4. The concept of absolute value can be incorporated into many different types of problems on the new SAT, including those involving algebraic expressions, equations, and inequalities, as well as problems involving functional notation and the graphs of functions. Exercise 3 Work out each problem. Circle the letter that appears before your answer. 1. |7 – 2...
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## This note was uploaded on 08/15/2010 for the course MATH a4d4 taught by Professor Colon during the Spring '10 term at Embry-Riddle FL/AZ.

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