Praxis Middle School Mathematics 5164 Domain 2: Algebra Welcome to your Praxis Middle School Mathematics 5164 Domain 2: Algebra 1. Praxis Mathematics (5164): Algebra If \( x \) and \( y \) satisfy the system of equations \( 2x + 3y = 10 \) and \( x - 4y = -3 \), what is the value of \( x \)? A. 1 B. 2 C. 3 D. 4 None 2. Praxis Mathematics (5164): Algebra What is the vertex of the parabola represented by the equation \( y = 2x^2 - 4x + 1 \)? A. \( (1, -1) \) B. \( (-1, 1) \) C. \( (1, 3) \) D. \( (-1, -3) \) None 3. Praxis Mathematics (5164): Algebra What is the solution to the inequality \( 3(2x - 1) > 4x + 5 \)? A. \( x > 4 \) B. \( x < 4 \) C. \( x > 3 \) D. \( x < 3 \) None 4. Praxis Mathematics (5164): Algebra Given \( f(x) = x^2 - 4x + 3 \), find the value of \( f(2a) \). A. \( 4a^2 - 8a + 3 \) B. \( 4a^2 - 16a + 3 \) C. \( a^2 - 4a + 3 \) D. \( 4a^2 - 8a - 1 \) None 5. Praxis Mathematics (5164): Algebra If \( g(x) = 2x^3 - 3x^2 + x - 5 \), what is \( g(-1) \)? A. -9 B. -7 C. 7 D. 9 None 6. Praxis Mathematics (5164): Algebra Which of the following is the factored form of \( x^2 - 5x - 6 \)? A. \( (x - 6)(x + 1) \) B. \( (x - 2)(x - 3) \) C. \( (x + 6)(x - 1) \) D. \( (x + 2)(x + 3) \) None 7. Praxis Mathematics (5164): Algebra What are the roots of the quadratic equation \( 3x^2 - 12x + 9 = 0 \)? A. 1 and 3 B. 2 and 3 C. -1 and -3 D. -2 and -3 None 8. Praxis Mathematics (5164): Algebra Find the inverse function of \( f(x) = \frac{3x - 4}{2} \). A. \( f^{-1}(x) = \frac{2x + 4}{3} \) B. \( f^{-1}(x) = \frac{2x - 4}{3} \) C. \( f^{-1}(x) = \frac{3x + 4}{2} \) D. \( f^{-1}(x) = \frac{3x - 4}{2} \) None 9. Praxis Mathematics (5164): Algebra If \( h(x) = 2|x - 3| \), what is the value of \( h(0) \)? A. 6 B. -6 C. 3 D. -3 None 10. Praxis Mathematics (5164): Algebra Which expression is equivalent to \( \frac{5}{x - 2} - \frac{3}{x + 2} \)? A. \( \frac{8}{x^2 - 4} \) B. \( \frac{2}{x^2 - 4} \) C. \( \frac{2x}{x^2 - 4} \) D. \( \frac{8x}{x^2 - 4} \) None 11. Praxis Mathematics (5164): Algebra What is the coefficient of \( x \) in the expansion of \( (3x - 2)^2 \)? A. -12 B. -4 C. 4 D. 12 None 12. Praxis Mathematics (5164): Algebra If \( f(x) = x^2 - 4x + 3 \) and \( g(x) = 2x - 1 \), what is the value of \( f(g(2)) \)? A. 1 B. 3 C. 5 D. 7 None 13. Praxis Mathematics (5164): Algebra Solve for \( x \) in the equation \( \frac{1}{x} + \frac{1}{x+2} = \frac{1}{2} \). A. 1 B. 2 C. 3 D. 4 None 14. Praxis Mathematics (5164): Algebra What is the solution to the system of equations \( y = 2x + 3 \) and \( y = -x + 5 \)? A. \( (1, 5) \) B. \( (2, 7) \) C. \( (1, 3) \) D. \( (2, 5) \) None 15. Praxis Mathematics (5164): Algebra If \( h(t) = 3t^2 - 2t + 1 \), what is \( h(-2) \)? A. 17 B. 13 C. 11 D. 7 None 16. Praxis Mathematics (5164): Algebra Determine the zeros of the quadratic function \( f(x) = x^2 - 6x + 8 \). A. 2 and 4 B. 1 and 7 C. 3 and 5 D. 4 and 6 None 17. Praxis Mathematics (5164): Algebra What is the value of \( x \) in the inequality \( 3(x - 2) > 2x + 1 \)? A. \( x > 5 \) B. \( x > 7 \) C. \( x < 5 \) D. \( x < 7 \) None 18. Praxis Mathematics (5164): Algebra If \( 2^x = 8^2 \), what is the value of \( x \)? A. 3 B. 4 C. 5 D. 6 None 19. Praxis Mathematics (5164): Algebra Which of the following is equivalent to \( \frac{x^2 - 4}{x^2 - 2x - 8} \)? A. \( \frac{x + 2}{x - 4} \) B. \( \frac{x - 2}{x + 4} \) C. \( \frac{x - 2}{x - 4} \) D. \( \frac{x + 2}{x + 4} \) None 20. Praxis Mathematics (5164): Algebra What is the inverse of the function \( f(x) = \frac{1}{x - 3} \)? A. \( f^{-1}(x) = \frac{1}{x} + 3 \) B. \( f^{-1}(x) = \frac{1}{x + 3} \) C. \( f^{-1}(x) = x - 3 \) D. \( f^{-1}(x) = x + 3 \) None 1 out of 20 Time is Up! Time's up
