# CliffsNotes Praxis II: Middle School Mathematics Test (0069) by Sandra Luna McCune PhD, E. Donice McCune

By Sandra Luna McCune PhD, E. Donice McCune

A brand new consultant within the best-performing Praxis II test-prep sequence at the marketThirty states require aspiring academics to move the Praxis II center university arithmetic try out. This e-book offers targeted overview chapters for each topic lined at the try out, plus 3 full-length assessments with entire resolution explanations.Sandra Luna McCune, PhD (Nacogdoches, TX), is Regents Professor within the division of trouble-free schooling at Stephen F. Austin nation college. E. D. McCune, PhD (Nacogdoches, TX), is Regents Professor of arithmetic at Stephen F. Austin kingdom college.

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Extra resources for CliffsNotes Praxis II: Middle School Mathematics Test (0069) Test Prep

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C. D. 2 3 6 90 2. Simplify 7 + 3(42) – 8. A. B. C. D. 23 32 47 152 input √ √ √ 3 √ output 3. If x6, where x is a positive number, is used as the input for the sequence of root operations shown in the function machine diagram, which of the following is equivalent to the output? 11 A. x6 B. x4 C. x7 ⋅ x6 D. x11 1 1 23 + 39 + 77 + 11 = 23 + 77 + 39 + 11 = 100 + 50 = 150 4. Which of the following properties of the real numbers are illustrated by the preceding computation sequence? I. II. III. A. B.

C. D. qxp 9/24/08 12:12 PM Page 33 Arithmetic and Basic Number Concepts Answer Explanations for Sample Exercises 1. C. The greatest common factor of 18 and 30 is the greatest product that will divide evenly into each of them. It can be obtained by writing the prime factorization of both 18 and 30 and building a product consisting of each factor the highest number of times it appears as a common factor in 18 and 30. Since 18 = 2 · 3 · 3 and 30 = 2 · 3 · 5, the gcf(18, 30) = 2 · 3 = 6, Choice C. 2.

C. D. qxp 9/24/08 12:12 PM Page 33 Arithmetic and Basic Number Concepts Answer Explanations for Sample Exercises 1. C. The greatest common factor of 18 and 30 is the greatest product that will divide evenly into each of them. It can be obtained by writing the prime factorization of both 18 and 30 and building a product consisting of each factor the highest number of times it appears as a common factor in 18 and 30. Since 18 = 2 · 3 · 3 and 30 = 2 · 3 · 5, the gcf(18, 30) = 2 · 3 = 6, Choice C. 2.