CLT Domain 3.3: Quantitative Reasoning, Mathematical Reasoning Welcome to your CLT Domain 3.3: Quantitative Reasoning, Mathematical Reasoning 1. CLT: Quantitative Reasoning Mathematical Reasoning A square has a perimeter of 64 units. What is the area of the square? 256 square units 128 square units 64 square units 32 square units None 2. CLT: Quantitative Reasoning Mathematical Reasoning Solve for \(x\): \(2(x - 3) = 4(x - 7) + 6\). \(x = 10\) \(x = 6\) \(x = 12\) \(x = 15\) None 3. CLT: Quantitative Reasoning Mathematical Reasoning A function is defined as \(f(x) = 2x^2 - 3x + 4\). What is the value of \(f(2)\)? 10 11 12 15 None 4. CLT: Quantitative Reasoning Mathematical Reasoning A rectangle has a length-to-width ratio of 3:1. If the perimeter of the rectangle is 48 units, what is its area? 144 square units 108 square units 64 square units 72 square units None 5. CLT: Quantitative Reasoning Mathematical Reasoning If \(x^2 - 10x + 25 = y\), which value of \(x\) gives the minimum value of \(y\)? \(x = 10\) \(x = 0\) \(x = 5\) \(x = -5\) None 6. CLT: Quantitative Reasoning Mathematical Reasoning A square has a diagonal length of 10 units. What is the length of its side? \(5 \sqrt{2}\) units 10 units \(10 \sqrt{2}\) units \(5 \sqrt{10}\) units None 7. CLT: Quantitative Reasoning Mathematical Reasoning The volume of a cylinder is given by \(V = \pi r^2 h\). If a cylinder's height is 10 units and its volume is 314 cubic units, what is the radius of its base? 5 units 7 units 3 units 10 units None 8. CLT: Quantitative Reasoning Mathematical Reasoning Given that \(x \cdot y = x^2 - y^2\), what is the value of \(5 \cdot 3\)? 16 -16 8 -8 None 9. CLT: Quantitative Reasoning Mathematical Reasoning What is the value of the expression \((2 + 3) \times 4 - 5\)? 15 17 25 5 None 10. CLT: Quantitative Reasoning Mathematical Reasoning A sphere has a radius of 6 units. What is the volume of the sphere? 904 cubic units 912 cubic units 913 cubic units 905 cubic units None 11. CLT: Quantitative Reasoning Mathematical Reasoning Two trains are traveling towards each other at 60 km/h and 80 km/h, respectively. If they are initially 280 km apart, how long will it take for them to meet? 2 hours 1 hour 3 hours 2.5 hours None 12. CLT: Quantitative Reasoning Mathematical Reasoning If \(3a + 7 = 16 - a\), what is the value of \(a\)? 3 5 2 4 None 13. CLT: Quantitative Reasoning Mathematical Reasoning A 10 kg object is accelerated at \(4 m/s^2\). What force is applied to the object? 40 N 100 N 200 N 50 N None 14. CLT: Quantitative Reasoning Mathematical Reasoning A function is defined as \(f(x) = 2x^2 - 3x + 4\). What is the value of \(f(2)\)? 10 11 12 15 None 15. CLT: Quantitative Reasoning Mathematical Reasoning A sphere has a radius of 6 units. What is the volume of the sphere? 904 cubic units 912 cubic units 913 cubic units 905 cubic units None 1 out of 15 Time is Up! Time's up