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InterviewSolution
This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your General Mathematics knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
What is the solution for x in x2= bx? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">What is the solution for x in x<sup>2</sup>= bx?</strong><p><strong>Solution:</strong></p> | |
| 2. |
What is the solution of the linear-quadratic system of equation: y = x2+ 5x - 3, y - x = 2? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">What is the solution of the linear-quadratic system of equation: y = x<sup>2</sup>+ 5x - 3, y - x = 2?</strong><p><strong>Solution:</strong></p> | |
| 3. |
What is the solution to the system of equations? y = -5x + 6, y = -3x - 4 |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">What is the solution to the system of equations? y = -5x + 6, y = -3x - 4</strong><p><strong>Solution: </strong></p> | |
| 4. |
What is the solution to -2(8x - 4) < 2x + 5? (a)x > 1/6 (b)x < 1/6 (c)x > 6 (d)x < 6 |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">What is the solution to -2(8x - 4) < 2x + 5?</strong><p><strong>Solution:</strong></p> | |
| 5. |
What is the solution to the equation 9(x + 1) = 27? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">What is the solution to the equation 9(x + 1) = 27?</strong><p><strong>Solution:</strong></p> | |
| 6. |
What is the solution to the linear equation,4b + 6 = 2 - b + 4? |
| Answer» <strong>What is the solution to the linear equation,4b + 6 = 2 - b + 4?</strong><p><strong>Solution:</strong></p> | |
| 7. |
What is the solution to the system of equations 2x - y = 7, y = 2x + 3? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">What is the solution to the system of equations 2x - y = 7, y = 2x + 3?</strong><p><strong>Solution:</strong></p> | |
| 8. |
What is the solution to the linear equation? d - 10 - 2d + 7 = 8 + d - 10 - 3d |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">What is the solution to the linear equation? d - 10 - 2d + 7 = 8 + d - 10 - 3d</strong><p><strong>Solution:</strong></p> | |
| 9. |
What is the solution to this system of linear equations7x - 2y = -6 and 8x + y = 3? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">What is the solution to this system of linear equations7x - 2y = -6 and 8x + y = 3?</strong><p><strong>Solution:</strong></p> | |
| 10. |
What is the solution to this system of linear equationsy - x = 6 and y + x = -10? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">What is the solution to this system of linear equationsy - x = 6 and y + x = -10?</strong><p><strong>Solution:</strong></p> | |
| 11. |
What is the speed of a person in kilometers per hour if the distance he travels is 39 kilometersin 2 hours? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">What is the speed of a person in kilometers per hour if the distance he travels is 39 kilometersin 2 hours?</strong><p><strong>Solution:</strong></p> | |
| 12. |
What is the square footage of one acre of land? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">What is the square footage of one acre of land?</strong><p><strong>Explanation:</strong></p> | |
| 13. |
What is the square of the standard deviation is called? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">What is the square of the standard deviation is called?</strong><p><strong>Explanation:</strong></p> | |
| 14. |
What is the square root of 0? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">What is the square root of 0?</strong><p><strong>Solution:</strong></p> | |
| 15. |
What is the square root of x2? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">What is the square root of x<sup>2</sup>?</strong><p><strong>Solution:</strong></p> | |
| 16. |
What is the square root of pi? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">What is the square root of pi?</strong><p><strong>Solution:</strong></p> | |
| 17. |
What is the sum of 1/9, 2/3, and 5/18? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">What is the sum of 1/9, 2/3, and 5/18?</strong><p><strong>Solution:</strong></p> | |
| 18. |
What is the sum of the angle measures of an octagon? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">What is the sum of the angle measures of an octagon?</strong><p><strong>Solution:</strong></p> | |
| 19. |
What is the sum of the angles of an octagon? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">What is the sum of the angles of an octagon?</strong><p><strong>Solution:</strong></p> | |
| 20. |
What is the sum of the first 21 terms of the arithmetic series? -5 + (-3) + (-1) + 1 + ... ? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">What is the sum of the first 21 terms of the arithmetic series? -5 + (-3) + (-1) + 1 + ... ?</strong><p><strong>Solution:</strong></p> | |
| 21. |
Find the circumference of a circle if the area is 300 square centimeters. |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Find the circumference of a circle if the area is 300 square centimeters.</strong><p><strong>Solution:</strong></p> | |
| 22. |
Which of the following options is an equivalent function to f(x) = 4(3)2x? f(x) = 36x f(x) = 4(9)x f(x) = 144x f(x) = 4(6x) |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Which of the following options is an equivalent function to f(x) = 4(3)<sup>2</sup>x?</strong><p><strong>Solution:</strong></p> | |
| 23. |
On a number line what is the distance between -3/7 and -2/3 ? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">On a number line what is the distance between -3/7 and -2/3 ?</strong><p><strong>Solution:</strong></p> | |
| 24. |
If four times a number plus 3 is 11, what is the number? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">If four times a number plus 3 is 11, what is the number?</strong><p><strong>Solution:</strong></p> | |
| 25. |
What are the solutions to the quadratic equation 4(x + 2)2 = 36 |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">What are the solutions to the quadratic equation 4(x + 2)<sup>2</sup> = 36</strong><p><strong>Solution:</strong></p> | |
| 26. |
The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is increasing at a rate of 2 cm2/min. At what rate is the base of the triangle changing when the altitude is 10 cm and the area is 100 cm2? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is increasing at a rate of 2 cm<sup>2</sup>/min. At what rate is the base of the triangle changing when the altitude is 10 cm and the area is 100 cm<sup>2</sup>?</strong><p><strong>Solution:</strong></p> | |
| 27. |
If c(x) = 5/x - 2 and d(x) = x + 3. What is the domain of (cd)(x)? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">If c(x) = 5/x - 2 and d(x) = x + 3. What is the domain of (cd)(x)?</strong><p><strong>Solution:</strong></p> | |
| 28. |
Which measure is of an angle that is coterminal with a 425 angle? 425° - (1,000n)° for any integer n 425° - (840n)° for any integer n 425° + (960n)° for any integer n 425° + (1,440n)°, for any integer n |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Which measure is of an angle that is coterminal with a 425 angle?</strong><p><strong>Solution:</strong></p> | |
| 29. |
Which equation can be simplified to find the inverse of y = 2x2? 1/y = 2x2, y = 1/2 x2, -y = 2x2, x = 2y2 |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Which equation can be simplified to find the inverse of y = 2x2? 1/y = 2x2, y = 1/2 x2, -y = 2x2, x = 2y2</strong><p><strong>Solution:</strong></p> | |
| 30. |
The number of integers between 100 and 500 that are multiples of 11 |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">The number of integers between 100 and 500 that are multiples of 11</strong><p><strong>Solution:</strong></p> | |
| 31. |
How many numbers between 111 and 100100100 (inclusive) are divisible by 555 or 333? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">How many numbers between 111 and 100100100 (inclusive) are divisible by 555 or 333?</strong><p><strong>Solution:</strong></p> | |
| 32. |
What is the vertex of the graph of y = 1/3 (x - 9)2 + 5 |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">What is the vertex of the graph of y = 1/3 (x - 9)<sup>2</sup> + 5</strong><p><strong>Solution:</strong></p> | |
| 33. |
Simplify (8j3 - 3j2 + 5) - (4j3 + 8j2 + 7j - 6). |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Simplify (8j<sup>3 </sup>- 3j<sup>2</sup> + 5) - (4j<sup>3</sup> + 8j<sup>2</sup> + 7j - 6).</strong><p><strong>Solution:</strong></p> | |
| 34. |
Which equation represents the line that passes through (-6, 7) and (-3, 6)? y = -x + 9, y = -x + 5, y = -3x - 11, y = -3x + 25 |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Which equation represents the line that passes through (-6, 7) and (-3, 6)?</strong><p><strong>Solution:</strong></p> | |
| 35. |
Which statement describes the graph of f(x) = 4x7 + 40x6 + 100x5? The graph crosses the x axis at x = 0 and touches the x axis at x = 5. The graph touches the x axis at x = 0 and crosses the x axis at x = 5. The graph crosses the x axis at x = 0 and touches the x axis at x = -5. The graph touches the x axis at x = 0 and crosses the x axis at x = -5. |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Which statement describes the graph of f(x) = 4x<sup>7</sup> + 40x<sup>6</sup> + 100x<sup>5</sup>?</strong><p><strong>Solution:</strong></p> | |
| 36. |
Which equation is the inverse of 2(x - 2)2 = 8(7 + y)? -2(x - 2)2 = -8(7 + y) y = 1/4 x2 -x -6 y = -2 +/- sqrt of 28 + 4x y = 2 +/- sqrt of 28 + 4x |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Which equation is the inverse of 2(x - 2)<sup>2</sup> = 8(7 + y)?</strong><p><strong>Solution:</strong></p> | |
| 37. |
Which expression is equivalent to 6m + (m - 2)(m + 7) + 3? m2+ 11m - 11 m2+ 6m - 11 7m2+ 47m - 11 7m2+ 47m - 14 |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Which expression is equivalent to 6m + (m - 2)(m + 7) + 3?</strong><p><strong>Solution:</strong></p> | |
| 38. |
If a/4 = 2/3, then (a - 4)/4 would equal -2/3, -1/3, 0, 1/3 |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">If a/4 = 2/3, then (a - 4)/4 would equal</strong><p><strong>Solution:</strong></p> | |
| 39. |
If f(x) = log2 (x + 4), what is f-1(3)? 0, 2, 4, 8 |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">If f(x) = log<sub>2</sub> (x + 4), what is f<sup>-1</sup>(3)?</strong><p><strong>Solution:</strong></p> | |
| 40. |
What is the third term of the sequence? a1 = m, an = 2an - 1 |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">What is the third term of the sequence? a<sub>1</sub> = m, a<sub>n</sub> = 2a<sub>n - 1</sub></strong><p><strong>Solution:</strong></p> | |
| 41. |
Find the point on the parabola y2 = 2x that is closest to the point (1, 4)? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Find the point on the parabola y<sup>2 </sup>= 2x that is closest to the point (1, 4)?</strong><p><strong>Solution:</strong></p> | |
| 42. |
The next number in the series 2, 5, 11, 20, 32, 47is |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">The next number in the series 2, 5, 11, 20, 32, 47is</strong><p><strong>Solution:</strong></p> | |
| 43. |
Given that f(x) = 6x + 2 and g(x) = the quantity of 2x plus 4 divided by 5, solve for g(f(1)) 1, 3, 4, 8 |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Given that f(x) = 6x + 2 and g(x) = the quantity of 2x plus 4 divided by 5, solve for g(f(1))</strong><p><strong>Solution: </strong></p> | |
| 44. |
What is the greatest common factor of 8 and 36? 2, 4, 6, 8 |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">What is the greatest common factor of 8 and 36?</strong><p><strong>Solution:</strong></p> | |
| 45. |
Write the equation in spherical coordinates. x2 + y2 + z2 = 25. |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Write the equation in spherical coordinates. x<sup>2</sup> + y<sup>2</sup> + z<sup>2 </sup>= 25.</strong><p><strong>Solution:</strong></p> | |
| 46. |
Solve (2x3 + x4 - 6x2 + 11x - 10) / (x2 + 2 - x) |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Solve (2x<sup>3</sup> + x<sup>4</sup> - 6x<sup>2</sup> + 11x - 10) / (x<sup>2</sup> + 2 - x)</strong><p><strong>Solution:</strong></p> | |
| 47. |
Find parametric equations for the line of intersection of the planes 2x - y + 3z = 5 and 3x - 2y - z = 7 |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Find parametric equations for the line of intersection of the planes 2x - y + 3z = 5 and 3x - 2y - z = 7</strong><p><strong>Solution:</strong></p> | |
| 48. |
A right cylinder has a radius of 2 units and height of 5 units. What is the volume of the cylinder? Round to the nearest tenth. |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">A right cylinder has a radius of 2 units and height of 5 units. What is the volume of the cylinder? Round to the nearest tenth.</strong><p><strong>Solution:</strong></p> | |
| 49. |
A sphere has a radius of 3 cm. What is the volume of the sphere? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">A sphere has a radius of 3 cm. What is the volume of the sphere?</strong><p><strong>Solution:</strong></p> | |
| 50. |
Write the equation in spherical coordinates. x2 + y2 + z2 = 49. |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Write the equation in spherical coordinates. x<sup>2</sup> + y<sup>2</sup> + z<sup>2 </sup>= 49.</strong><p><strong>Solution:</strong></p> | |