CASA Mathematics Practice Test Welcome to your CASA Mathematics Practice Test 1. CASA Math: Numbers and Algebra What is the product of \((-3)(4)(-5)\ 60 -60 20 -20 None 2. CASA Math: Numbers and Algebra What is the solution to the equation \(3x - 5 = 10\ 5 3 15 6 None 3. CASA Math: Numbers and Algebra What is the simplified form of \(\frac{8x^3y^2}{4xy}\ \(2x^2y\) \(4x^2y\) \(2x^3y^2\) \(4xy\) None 4. CASA Math: Numbers and Algebra What is the result when \(-3x^2 + 5x - 2\) is subtracted from \(4x^2 - 3x + 6\ \(7x^2 - 8x + 8\) \(7x^2 - 2x + 4\) \(x^2 + 2x + 4\) \(x^2 - 8x + 8\) None 5. CASA Math: Numbers and Algebra How many solutions does the equation \(x^2 = x\) hav None One Two Infinite None 6. CASA Math: Numbers and Algebra What is the solution set for the inequality \(2x - 6 > 4\ \(x > 5\) \(x > 10\) \(x < 5\) \(x > 2\) None 7. CASA Math: Numbers and Algebra What is the simplified form of \(x^4 \cdot x^3\ \(x^7\) \(x^{12}\) \(7x\) \(12x\) None 8. CASA Math: Numbers and Algebra What is the value of \(x\) in the equation \(\frac{1}{3}x = 15\ 5 45 10 30 None 9. CASA Math: Numbers and Algebra Evaluate \(3x + 2\) for \(x = 3\ 11 12 9 13 None 10. CASA Math: Numbers and Algebra What is the least common multiple (LCM) of 8 and 1 24 48 96 36 None 11. CASA Math: Numbers and Algebra Evaluate \(4^3 \div 4^2\ 4 16 8 2 None 12. CASA Math: Numbers and Algebra Solve for \(x\) if \(\sqrt{x+16} = 5\ 9 25 11 -11 None 13. CASA Math: Numbers and Algebra Calculate the expression \( \left(\frac{4x}{2x}\right)^2 \) when \(x = 5\ 4 8 16 2 None 14. CASA Math: Numbers and Algebra What is the value of \(x\) in the equation \(\frac{1}{3}x = 15\ 5 45 10 30 None 15. CASA Math: Numbers and Algebra If \(f(x) = 3x + 7\) and \(g(x) = x - 2\), what is \(f(g(3))\ 10 8 4 12 None Comment 16. CASA Math: Numbers and Algebra What are the solutions for the quadratic equation \(x^2 - 8x + 16 = 0\ \(x = 4\) only \(x = -4\) only \(x = 4\) and \(x = -4\) \(x = 8\) and \(x = 0\) None 17. CASA Math: Numbers and Algebra If \(f(x) = x^2 - 4x + 4\), what are the roots of \(f(x)\ \(x = 2\) only \(x = 2\) and \(x = -2\) \(x = 4\) and \(x = 1\) \(x = 0\) and \(x = 4\) None Comment 18. CASA Math: Numbers and Algebra If \(f(x) = x^2 - 6x + 8\), find the value of \(f(3)\ -1 1 0 3 None Comment 19. CASA Math: Numbers and Algebra If \(f(x) = x^2 - 6x + 8\), find the value of \(f(3)\ -1 1 0 3 None Comment 20. CASA Math: Numbers and Algebra If \(y = 2x + 3\) and \(x = 4\), what is the value of \(y\ 11 8 14 5 None Comment 21. CASA Math: Numbers and Algebra Solve for \(y\) in the equation \(3y - 12 = 0\ 4 -4 12 0 None 22. CASA Math: Numbers and Algebra What is the greatest common factor (GCF) of 36, 54, and 9 6 18 12 9 None 23. CASA Math: Numbers and Algebra What is the solution set for the inequality \(2x - 6 > 4\ \(x > 5\) \(x > 10\) \(x < 5\) \(x > 2\) None 24. CASA Math: Numbers and Algebra Solve for \(x\) in the equation \(5(x - 3) = 2(x + 7)\ 4 5 6 7 None 25. CASA Math: Numbers and Algebra If \(2^x = 32\), what is the value of \(x\ 4 5 6 3 None Comment 26. CASA Math: Geometry and Statistics A triangle has one angle measuring 120 degrees and another angle measuring 30 degrees. What is the measure of the third angle? 30 degrees 20 degrees 10 degrees 40 degrees None 27. CASA Math: Geometry and Statistics In a circle, a chord that is 8 cm long is 6 cm from the center. What is the radius of the circle? 5 cm 7 cm 10 cm 8 cm None 28. CASA Math: Geometry and Statistics What is the area of a trapezoid with bases of 10 cm and 14 cm, and a height of 5 cm? 60 cm\(^2\) 70 cm\(^2\) 120 cm\(^2\) 40 cm\(^2\) None 29. CASA Math: Geometry and Statistics A circle has a circumference of 18\(\pi\) cm. What is the area of the circle? 81\(\pi\) cm\(^2\) 324\(\pi\) cm\(^2\) 36\(\pi\) cm\(^2\) 162\(\pi\) cm\(^2\) None 30. CASA Math: Geometry and Statistics What is the volume of a cylinder with a radius of 3 cm and a height of 4 cm? 36\(\pi\) cm\(^3\) 12\(\pi\) cm\(^3\) 24\(\pi\) cm\(^3\) 48\(\pi\) cm\(^3\) None 31. CASA Math: Geometry and Statistics A rectangle is rotated around one of its sides measuring 3 cm to form a cylinder. If the other side of the rectangle is 4 cm, what is the volume of the cylinder? 12\(\pi\) cm\(^3\) 24\(\pi\) cm\(^3\) 36\(\pi\) cm\(^3\) 48\(\pi\) cm\(^3\) None 32. CASA Math: Geometry and Statistics If the probability of raining on any given day in April is 0.3, what is the probability that it will rain exactly 3 days in a 5-day period? 0.18522 0.3087 0.1323 0.1029 None 33. CASA Math: Geometry and Statistics A sphere has a volume of 288\(\pi\) cm\(^3\). What is the surface area of the sphere? 144\(\pi\) cm\(^2\) 96\(\pi\) cm\(^2\) 72\(\pi\) cm\(^2\) 192\(\pi\) cm\(^2\) None 34. CASA Math: Geometry and Statistics What is the standard deviation of the data set \{2, 4, 4, 4, 5, 5, 7, 9\}? 2 2.5 1.5 3 None 35. CASA Math: Geometry and Statistics What is the equation of a line perpendicular to the line \( y = \frac{1}{3}x + 5 \) and passing through the point (3, -2)? \( y = -3x + 7 \) \( y = -3x + 5 \) \( y = -3x + 11 \) \( y = -3x + 9 \) None 36. CASA Math: Geometry and Statistics A regular hexagon and a square have the same perimeter. If the side of the hexagon is 6 cm, what is the area of the square? 144 cm\(^2\) 324 cm\(^2\) 1296 cm\(^2\) 81 cm\(^2\) None 37. CASA Math: Geometry and Statistics A histogram shows the number of books read by students in a month, with one of the bars representing 20 students reading 2-4 books. What is the frequency density of this bar if the class interval is 2? 5 10 20 30 None 38. CASA Math: Geometry and Statistics If a right triangle has one leg that is 7 cm longer than the other, and the hypotenuse is 25 cm, what is the length of the shorter leg? 9 cm 12 cm 24 cm 15 cm None 39. CASA Math: Geometry and Statistics In a box plot representing test scores, the upper quartile is 75, and the interquartile range (IQR) is 15. What is the lower quartile? 90 60 45 30 None 40. CASA Math: Geometry and Statistics The angle of elevation from a point on the ground to the top of a building is 30 degrees. If the point is 50 meters from the base of the building, how tall is the building? 50 \(\sqrt{3}\) meters 25 \(\sqrt{3}\) meters 25 meters 50 meters None 1 out of 40 Time is Up! Time's up
