Praxis Core Math Domain 1: Number and Quantity Welcome to your Praxis Core Math Domain 1: Number and Quantity 1. Praxis Core Math: Numbers and Quantity If \( x \) and \( y \) are two distinct prime numbers, which of the following represents the total number of factors for the product \( xy \)? A. 2 B. 3 C. 4 D. 5 None 2. Praxis Core Math: Numbers and Quantity Given that \( a \) is a positive integer, which of the following represents the sum of the first \( n \) terms of the sequence \( 2a, 4a, 6a, \ldots, 2na \)? A. \( na^2 \) B. \( n^2a \) C. \( na(n + 1) \) D. \( a(n)(n + 1) \) None 3. Praxis Core Math: Numbers and Quantity What is the value of \( x \) in the equation \( 2^{3x - 1} = 8^x \)? A. 1 B. 2 C. 3 D. 4 None 4. Praxis Core Math: Numbers and Quantity If \( \frac{5}{3x} = \frac{15}{9x - 6} \), what is the value of \( x \)? A. 0 B. 1 C. 2 D. 3 None 5. Praxis Core Math: Numbers and Quantity What is the least common multiple (LCM) of \( 12 \) and \( 18 \)? A. 36 B. 54 C. 72 D. 108 None 6. Praxis Core Math: Numbers and Quantity What is the sum of the infinite geometric series \( 8, 4, 2, 1, \ldots \)? A. 16 B. 15 C. 14 D. 13 None 7. Praxis Core Math: Numbers and Quantity What is the \( n^{th} \) term of the sequence defined by \( a_n = 3^n - 2^n \)? A. \( 3n - 2n \) B. \( 3^{n-1} - 2^{n-1} \) C. \( n(3 - 2) \) D. \( 3^n - 2^n \) None 8. Praxis Core Math: Numbers and Quantity If \( \frac{x}{4} = \frac{y}{3} \) and \( y = 12 \), what is the value of \( x \)? A. 16 B. 15 C. 14 D. 13 None 9. Praxis Core Math: Numbers and Quantity If the ratio of \( x \) to \( y \) is \( 3:4 \) and \( y = 20 \), what is the value of \( x \)? A. 15 B. 25 C. 30 D. 35 None 10. Praxis Core Math: Numbers and Quantity What is the decimal equivalent of the fraction \( \frac{7}{8} \)? A. 0.875 B. 0.885 C. 0.895 D. 0.905 None 11. Praxis Core Math: Numbers and Quantity If the ratio \( \frac{x}{y} \) is equivalent to \( \frac{2}{3} \) and \( x + y = 30 \), what is the value of \( x \)? A. 10 B. 12 C. 15 D. 18 None 12. Praxis Core Math: Numbers and Quantity What is the result of simplifying the expression \( \sqrt{50} - \sqrt{18} \)? A. \( 4\sqrt{2} \) B. \( 2\sqrt{5} \) C. \( 5\sqrt{2} \) D. \( 3\sqrt{2} \) None 13. Praxis Core Math: Numbers and Quantity Find the sum of the arithmetic series \( 3 + 7 + 11 + \ldots + 47 \). A. 340 B. 430 C. 550 D. 600 None 14. Praxis Core Math: Numbers and Quantity If \( \log_5(x) = 3 \), what is the value of \( x \)? A. 15 B. 125 C. 243 D. 625 None 15. Praxis Core Math: Numbers and Quantity What is the value of \( x \) in the equation \( 4^{2x+1} = 64 \)? A. 1.5 B. 2 C. 2.5 D. 3 None 16. Praxis Core Math: Numbers and Quantity If the prime factors of \( n \) are 2, 3, and 5, which of the following must be a factor of \( n \)? A. 60 B. 30 C. 15 D. 10 None 17. Praxis Core Math: Numbers and Quantity The expression \( \frac{8^x}{4^{x+1}} \) simplifies to which of the following? A. \( 2^{2x-2} \) B. \( 2^{2x} \) C. \( 2^{x-2} \) D. \( 2^x \) None 18. Praxis Core Math: Numbers and Quantity What is the solution set for the inequality \( 3x - 4 > 2x + 5 \)? A. \( x > 9 \) B. \( x > 1 \) C. \( x < 9 \) D. \( x < 1 \) None 19. Praxis Core Math: Numbers and Quantity If \( a, b \), and \( c \) are consecutive even integers and \( a < b < c \), what is \( c \) in terms of \( a \)? A. \( a + 2 \) B. \( a + 4 \) C. \( 2a \) D. \( 2a + 2 \) None 20. Praxis Core Math: Numbers and Quantity What is the cube root of \( -27 \)? A. -9 B. -3 C. 3 D. 9 None 1 out of 20 Time is Up! Time's up
