Praxis Fundamental Subjects CK (5511) Domain 2: Mathematics Welcome to your Praxis Fundamental Subjects CK (5511) Domain 2: Mathematics 1. Praxis Fundamental Subjects CK 5511: Mathematics If the sequence \( a_n = 3^n + 2n \) is defined for positive integers \( n \), what is the value of \( a_4 \)? A. 87 B. 94 C. 98 D. 105 None 2. Praxis Fundamental Subjects CK 5511: Mathematics What is the area of a right triangle with legs of lengths 8 cm and 15 cm? A. 60 cm\(^2\) B. 120 cm\(^2\) C. 64 cm\(^2\) D. 240 cm\(^2\) None 3. Praxis Fundamental Subjects CK 5511: Mathematics In a geometric series, the first term is 5 and the common ratio is 2. What is the sum of the first four terms? A. 75 B. 80 C. 85 D. 95 None 4. Praxis Fundamental Subjects CK 5511: Mathematics If \( x \) and \( y \) are inversely proportional and \( x = 4 \) when \( y = 3 \), what is the value of \( y \) when \( x = 12 \)? A. 1 B. 4 C. 9 D. 12 None 5. Praxis Fundamental Subjects CK 5511: Mathematics What is the value of \( x \) in the equation \( 5^{2x-1} = 125 \)? A. 1 B. 2 C. 3 D. 4 None 6. Praxis Fundamental Subjects CK 5511: Mathematics A circle has a circumference of \( 10\pi \) cm. What is the area of the circle? A. 25\(\pi\) cm\(^2\) B. 50\(\pi\) cm\(^2\) C. 100\(\pi\) cm\(^2\) D. 200\(\pi\) cm\(^2\) None 7. Praxis Fundamental Subjects CK 5511: Mathematics If \( \log(x) + \log(100) = 3 \), what is the value of \( x \)? A. 10 B. 20 C. 50 D. 100 None 8. Praxis Fundamental Subjects CK 5511: Mathematics What are the solutions to the equation \( x^2 - 9x + 20 = 0 \)? A. 4 and 5 B. 1 and 20 C. 2 and 10 D. 3 and 7 None 9. Praxis Fundamental Subjects CK 5511: Mathematics What is the value of the 7th term in the sequence defined by \( b_n = 2^n - n \)? A. 121 B. 126 C. 127 D. 128 None 10. Praxis Fundamental Subjects CK 5511: Mathematics If the sum of the interior angles of a polygon is 1260 degrees, how many sides does the polygon have? A. 7 B. 8 C. 9 D. 10 None 11. Praxis Fundamental Subjects CK 5511: Mathematics What is the solution to the equation \( \frac{1}{x-1} + \frac{1}{x+1} = \frac{2}{x^2-1} \)? A. \( x = 0 \) B. \( x = 1 \) C. \( x = -1 \) D. No solution None 12. Praxis Fundamental Subjects CK 5511: Mathematics A circle has a circumference of 31.4 meters. What is the approximate diameter of the circle? (Use \( \pi \approx 3.14 \)) A. 5 meters B. 10 meters C. 15 meters D. 20 meters None 13. Praxis Fundamental Subjects CK 5511: Mathematics If \( f(x) = x^2 - 6x + 9 \), what is the vertex of the parabola represented by this function? A. (3, 0) B. (-3, 0) C. (0, 3) D. (3, -9) None 14. Praxis Fundamental Subjects CK 5511: Mathematics If a right triangle has legs of length 8 and 15, what is the length of the hypotenuse? A. 17 B. 23 C. 19 D. 21 None 15. Praxis Fundamental Subjects CK 5511: Mathematics What is the sum of the interior angles of a regular pentagon? A. 360 degrees B. 540 degrees C. 720 degrees D. 1080 degrees None 16. Praxis Fundamental Subjects CK 5511: Mathematics What is the value of the determinant of the matrix \( \begin{bmatrix} 4 & 7 \\ 2 & 5 \end{bmatrix} \)? A. 6 B. 10 C. 14 D. 20 None 17. Praxis Fundamental Subjects CK 5511: Mathematics If the equation of a circle is \( x^2 + y^2 - 6x - 8y + 9 = 0 \), what are the coordinates of its center? A. (3, 4) B. (-3, -4) C. (6, 8) D. (-6, -8) None 18. Praxis Fundamental Subjects CK 5511: Mathematics What is the sum of the roots of the quadratic equation \( 2x^2 - 3x - 5 = 0 \)? A. -2.5 B. -1.5 C. 1.5 D. 2.5 None 19. Praxis Fundamental Subjects CK 5511: Mathematics A cylinder has a radius of 4 cm and a height of 9 cm. What is the volume of the cylinder? A. 144\(\pi\) cm\(^3\) B. 36\(\pi\) cm\(^3\) C. 72\(\pi\) cm\(^3\) D. 108\(\pi\) cm\(^3\) None 20. Praxis Fundamental Subjects CK 5511: Mathematics Simplify the expression \( \frac{2x^2 - 8}{x^2 - 2x} \). A. \( 2 \) B. \( \frac{2}{x} \) C. \( 2x \) D. \( \frac{2x}{x-2} \) None 21. Praxis Fundamental Subjects CK 5511: Mathematics What is the slope of the line that passes through the points (2, -3) and (5, 6)? A. 3 B. 2 C. \( \frac{3}{2} \) D. \( \frac{9}{3} \) None 22. Praxis Fundamental Subjects CK 5511: Mathematics If \( \sin \theta = 0.6 \) and \( 0 < \theta < \frac{\pi}{2} \), what is \( \cos \theta \)? A. 0.8 B. 0.6 C. 0.4 D. 0.2 None 23. Praxis Fundamental Subjects CK 5511: Mathematics What is the result of dividing \( (x^3 - 2x^2 + x - 2) \) by \( (x - 1) \)? A. \( x^2 - x + 2 \) B. \( x^2 - x - 2 \) C. \( x^2 + x - 2 \) D. \( x^2 + x + 2 \) None 24. Praxis Fundamental Subjects CK 5511: Mathematics If \( 3^x = 81 \), what is the value of \( x \)? A. 2 B. 3 C. 4 D. 5 None 25. Praxis Fundamental Subjects CK 5511: Mathematics What is the standard form equation of the ellipse with foci at \( (0, 3) \) and \( (0, -3) \) and a major axis of length 10? A. \( \frac{x^2}{16} + \frac{y^2}{25} = 1 \) B. \( \frac{x^2}{25} + \frac{y^2}{16} = 1 \) C. \( \frac{x^2}{9} + \frac{y^2}{16} = 1 \) D. \( \frac{x^2}{16} + \frac{y^2}{9} = 1 \) None 26. Praxis Fundamental Subjects CK 5511: Mathematics What is the next term in the sequence: 2, 6, 12, 20, 30, ...? A. 40 B. 42 C. 44 D. 46 None 27. Praxis Fundamental Subjects CK 5511: Mathematics If \( \frac{2}{3}x = \frac{3}{4} \), what is the value of \( x \)? A. \( \frac{9}{8} \) B. \( \frac{8}{9} \) C. \( \frac{4}{3} \) D. \( \frac{3}{2} \) None 28. Praxis Fundamental Subjects CK 5511: Mathematics What is the sum of the series \( 1 + \frac{1}{2} + \frac{1}{4} + \frac{1}{8} + \ldots \) up to 8 terms? A. 1.875 B. 1.984 C. 1.992 D. 2 None 29. Praxis Fundamental Subjects CK 5511: Mathematics A parallelogram has base 10 cm and height 5 cm. What is its area? A. 15 cm\(^2\) B. 25 cm\(^2\) C. 50 cm\(^2\) D. 100 cm\(^2\) None 30. Praxis Fundamental Subjects CK 5511: Mathematics What is the equation of the line perpendicular to \( y = 2x + 3 \) and passing through the point (1, -2)? A. \( y = -\frac{1}{2}x - \frac{5}{2} \) B. \( y = -\frac{1}{2}x + \frac{1}{2} \) C. \( y = \frac{1}{2}x - \frac{5}{2} \) D. \( y = \frac{1}{2}x + \frac{3}{2} \) None 1 out of 30 Time is Up! Time's up
