Praxis Middle School Mathematics 5164 Domain 1: Numbers and Operations Welcome to your Praxis Middle School Mathematics 5164 Domain 1: Numbers and Operations 1. Praxis Mathematics (5164): Numbers and Operations What is the value of \( 8^{2/3} \)? A. 2 B. 4 C. 16 D. 64 None 2. Praxis Mathematics (5164): Numbers and Operations If \( \frac{5}{x} = \frac{x}{20} \), what is the value of \( x \)? A. 4 B. 10 C. 20 D. 25 None 3. Praxis Mathematics (5164): Numbers and Operations What is the result of \( \left(\frac{2}{3}\right)^{-2} \)? A. \(\frac{4}{9}\) B. \(\frac{9}{4}\) C. \(\frac{3}{2}\) D. 2.25 None 4. Praxis Mathematics (5164): Numbers and Operations Simplify: \( \sqrt[3]{-125} \). A. -5 B. 5 C. -25 D. 25 None 5. Praxis Mathematics (5164): Numbers and Operations What is the least common multiple of 6, 8, and 12? A. 24 B. 48 C. 72 D. 96 None 6. Praxis Mathematics (5164): Numbers and Operations If \( a \) and \( b \) are integers such that \( 2^a \cdot 2^b = 2^{10} \), and \( a > b \), what is the value of \( a \)? A. 5 B. 6 C. 7 D. 9 None 7. Praxis Mathematics (5164): Numbers and Operations Evaluate: \( \frac{6!}{4! \cdot 2!} \). A. 15 B. 18 C. 30 D. 45 None 8. Praxis Mathematics (5164): Numbers and Operations What is the greatest common divisor (GCD) of 54 and 81? A. 9 B. 18 C. 27 D. 36 None 9. Praxis Mathematics (5164): Numbers and Operations If \( \frac{2}{3} \) of a number is 60, what is 150% of that number? A. 90 B. 120 C. 135 D. 180 None 10. Praxis Mathematics (5164): Numbers and Operations If the sum of the reciprocals of two consecutive integers is \(\frac{7}{24}\), what are the integers? A. 3 and 4 B. 4 and 5 C. -4 and -3 D. -3 and -2 None 11. Praxis Mathematics (5164): Numbers and Operations What is the least common multiple (LCM) of 24, 36, and 48? A. 144 B. 288 C. 432 D. 576 None 12. Praxis Mathematics (5164): Numbers and Operations What is the simplified form of the expression \(\frac{5^{x+1} \cdot 5^{x-1}}{5^{2x}}\)? A. 5 B. \(5^x\) C. \(5^{2x-2}\) D. \(25^x\) None 13. Praxis Mathematics (5164): Numbers and Operations If \( \frac{7}{x} = \frac{14}{28} \), what is the value of \( x \)? A. 2 B. 4 C. 7 D. 14 None 14. Praxis Mathematics (5164): Numbers and Operations What is the decimal equivalent of \( \frac{1}{8} + \frac{1}{4} \)? A. 0.125 B. 0.25 C. 0.375 D. 0.5 None 15. Praxis Mathematics (5164): Numbers and Operations If \( 3^x \cdot 3^{x+2} = 81 \), what is the value of \( x \)? A. 1 B. 2 C. 3 D. 4 None 16. Praxis Mathematics (5164): Numbers and Operations What is the product of the prime factors of 210? A. 10 B. 30 C. 70 D. 210 None 17. Praxis Mathematics (5164): Numbers and Operations Solve for \( y \) in the equation \( \frac{1}{y} + \frac{1}{y+1} = \frac{1}{2} \). A. 1 B. 2 C. 3 D. 4 None 18. Praxis Mathematics (5164): Numbers and Operations What is the sum of all prime numbers between 20 and 30? A. 74 B. 75 C. 76 D. 77 None 19. Praxis Mathematics (5164): Numbers and Operations If \( 16^{3x} = 64^x \), what is the value of \( x \)? A. 1 B. 2 C. 3 D. 4 None 20. Praxis Mathematics (5164): Numbers and Operations What is the value of \( x \) in the equation \( 2x^2 - 8x = 0 \)? A. 0 and 2 B. 0 and 4 C. -4 and 4 D. 2 and 4 None 1 out of 20 Time is Up! Time's up
