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This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 751. |
How do you write an equation in the point-slope form of the line that passes through the given points (-1, -8), (4, -6)? |
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Answer» How do you write an equation in the point-slope form of the line that passes through the given points (-1, -8), (4, -6)? Solution: |
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| 752. |
Which linear function represents the line given by the point-slope equation y + 1 = -3(x - 5)? |
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Answer» Which linear function represents the line given by the point-slope equation y + 1 = -3(x - 5)? Solution: |
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| 753. |
Which set of rational numbers is arranged from least to greatest? (1)(-3/2, 0, 1/2, 8/2) (2)(4/2, 3/4, 0, -1/2) |
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Answer» Which set of rational numbers is arranged from least to greatest? (1)(-3/2, 0, 1/2, 8/2) (2)(4/2, 3/4, 0, -1/2) Solution: |
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| 754. |
Consider the given figure and answer the questions: (a) Is it a curve? (b) Is it closed? |
| Answer» The given figure is a curve and it is closed (a) Yes, the figure is a curve. (b) Yes, the figure is closed. | |
| 755. |
Using the given points, determine the slope. (0, 32) and (100, 212) |
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Answer» Using the given points, determine the slope. (0, 32) and (100, 212) Solution: |
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| 756. |
What is the inverse function for f(x) = x / (x - 2)? |
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Answer» What is the inverse function for f(x) = x / (x - 2)? Solutions : |
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| 757. |
Evaluate the \(\sum_{n=3}^{12}\) -5n -1. |
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Answer» Evaluate the \(\sum_{n=3}^{12}\)-5n -1. Solution: |
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| 758. |
If 3x2 - 2x + 7 = 0, then (x - 1/3)2= ? |
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Answer» If 3x2- 2x + 7 = 0, then (x - 1/3)2 = ? Solution: |
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| 759. |
Find the derivative of the function using the definition of the derivative. g(t) = 5/√t. |
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Answer» Find the derivative of the function using the definition of derivative. g(t) = 5/√t. Solution: |
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| 760. |
What is the inverse of the given function? y = 3x + 9. |
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Answer» What is the inverse of the given function? y = 3x + 9. Solution: |
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| 761. |
What are the approximate solutions of 2x2 + 9x = 8 to the nearest hundredth? |
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Answer» What are the approximate solutions of 2x2+ 9x = 8 to the nearest hundredth? Solution: |
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| 762. |
Find the derivative of the function using the definition of derivative. g(t) = 3/ √t |
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Answer» Find the derivative of the function using the definition of derivative. g(t) = 3/ √t Solution: |
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| 763. |
What is the slope of the line passing through (-3, 5) and (5, -3)? |
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Answer» What is the slope of the line passing through (-3, 5) and (5, -3)? Solution: |
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| 764. |
What is the axis of symmetry for f(x) = 2x2 + 8x + 8? |
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Answer» What is the axis of symmetry for f(x) = 2x2+ 8x + 8? Solution: |
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| 765. |
How many subsets of a set with 100 elements have more than one element? |
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Answer» How many subsets of a set with 100 elements have more than one element? Solution: |
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| 766. |
List the first five terms of the sequence. an = (-1)n - 1/6n |
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Answer» List the first five terms of the sequence. an = (-1)n - 1/6n Solution: |
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| 767. |
What is the greatest number which can be made using each of the digits 5, 3, 1, 4, 7 |
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Answer» What is the greatest number which can be made using each of the digits 5, 3, 1, 4, 7 Solution: |
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| 768. |
What is the positive solution to the equation 0 = -x2 + 2x + 1? |
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Answer» What is the positive solution to the equation 0 = -x2+ 2x + 1? Solution: |
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| 769. |
Find dy/dx and d2y/dx2 . x = 2 sin t, y = 3 cos t, 0 < t < 2π |
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Answer» Find dy/dx and d2y/dx2 . x = 2 sin t, y = 3 cos t, 0 < t < 2π Solution: |
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| 770. |
What is the solution to the equation 6y - 2(y + 1) = 3(y - 2) + 6? |
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Answer» What is the solution to the equation 6y - 2(y + 1) = 3(y - 2) + 6? Solution: |
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| 771. |
How do you find the linear approximation of the function g(x) =5√1 + x at a = 0? |
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Answer» How do you find the linear approximation of the function g(x) =5√1 + x at a = 0? Solution: |
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| 772. |
Find the lateral area for the cylinder with the given measurement. r = 4, h = 5. |
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Answer» Find the lateral area for the cylinder with the given measurement. r = 4, h = 5. Solution: |
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| 773. |
What is the sum of the geometric sequence 2, 10, 50, … if there are 8 terms? |
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Answer» What is the sum of the geometric sequence 2, 10, 50, … if there are 8 terms? Solution: |
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| 774. |
What is the x-intercept of the graph of y = x2 - 4x + 4? |
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Answer» What is the x-intercept of the graph of y = x2- 4x + 4? Solution: |
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| 775. |
Find the exact value by using a half-angle identity. Sine of seven pi divided by eight. |
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Answer» Find the exact value by using a half-angle identity. Sine of seven pi divided by eight. Solution: |
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| 776. |
What number would complete the pattern below? 14, 5, 18, 24, 15, 28, 34, __? |
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Answer» What number would complete the pattern below? 14, 5, 18, 24, 15, 28, 34, __? Solution: |
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| 777. |
What is the equation of the line that passes through the points (-2, 3) and (2, 7)? |
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Answer» What is the equation of the line that passes through the points (-2, 3) and (2, 7)? Solution: |
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| 778. |
What is the slope of the line which passes through (2, 5) and (3, 6)? |
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Answer» What is the slope of the line which passes through (2, 5) and (3, 6)? Solution: |
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| 779. |
Which of the following is a factor of the polynomial x2 - x - 20? (x - 5),(x + 5),(x - 4),(x + 4) |
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Answer» Which of the following is a factor of the polynomial x2- x - 20? Solution: |
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| 780. |
Use the rational root theorem to list all possible rational roots for the equation x3 - x2 - x - 3 = 0 -3, -1, 1, 3 1, 3 -3, 3 No roots |
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Answer» Use the rational root theorem to list all possible rational roots for the equation x3 - x2 - x - 3 = 0 Solution: |
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| 781. |
What happens if you try to use l'hospital's rule to find the limit? lim x → ∞ x / x2 + 5. |
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Answer» By the l'hospital's rule, the required limit is 0. We will use the concept of limit in order to find the required limit. |
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| 782. |
Graph the first six terms of a sequence where a1 = 3 and d = -10. |
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Answer» Graph the first six terms of a sequence where a1= 3 and d = -10. Solution: |
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| 783. |
Let f(x) = 8x3 - 22x2 - 4 and g(x) = 4x - 3. Find f(x)/g(x). |
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Answer» Let f(x) = 8x3 - 22x2 - 4 and g(x) = 4x - 3. Find f(x)/g(x). Solution: |
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| 784. |
If a(x) = 3x + 1 and b(x) = squareroot x - 4, what is the domain of (b*a)(x)? |
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Answer» If a(x) = 3x + 1 and b(x) = squareroot x - 4, what is the domain of (b*a)(x)? Solution: |
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| 785. |
Find a.b if a = 9i + 5j, b = 4i + 3j |
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Answer» Find a.b if a = 9i + 5j, b = 4i + 3j Solution: |
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| 786. |
Find a cartesian equation for the curve and identify it. r = 3 cos(θ) |
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Answer» Find a cartesian equation for the curve and identify it. r = 3 cos(θ) Solution: |
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| 787. |
If f(x) = 3 - 2x and g(x) = (1/x) + 5, what is value of (f/g)(8)? |
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Answer» If f(x) = 3 - 2x and g(x) = (1/x) + 5, what is value of (f/g)(8)? Solution: |
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| 788. |
Triangle BDC is isosceles. Which angle is congruent to BAD? BCD, CAB, DBC, ACD |
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Answer» Triangle BDC is isosceles. Which angle is congruent to BAD?
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| 789. |
Which of the following best defines 2 to the power of 2 over 3? Cube root of 4 Square root of 4 Cube root of 2 Square root of 2 |
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Answer» Which of the following best defines 2 to the power of 2 over 3? Solution: |
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| 790. |
What is the range of the function f(x) = 3x2 + 6x - 8? |
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Answer» What is the range of the function f(x) = 3x2 + 6x - 8? Solution: |
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| 791. |
What is the completely factored form of the expression 16x2 + 8x + 32? |
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Answer» What is the completely factored form of the expression 16x2+ 8x + 32? Solution: |
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| 792. |
What is the solution to equation 9(x - 2) = 27? |
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Answer» What is the solution to equation 9(x - 2) = 27? Solution: |
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| 793. |
What is the area of a regular hexagon with a side length of 4 m? |
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Answer» What is the area of a regular hexagon with a side length of 4 m? Solution: |
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| 794. |
How many ways can a committee of four students be selected from a 15-member club? |
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Answer» How many ways can a committee of four students be selected from a 15-member club? Solution: |
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| 795. |
What is the equation of a parabola with focus (-5, 3) and vertex (-5, 6)? |
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Answer» What is the equation of a parabola with focus (-5, 3) and vertex (-5, 6)? Solution: |
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| 796. |
What is the simplified base for the function f(x) = 2(3√27(2x))? |
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Answer» What is the simplified base for the function f(x) = 2(3√27(2x))? Solution: |
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| 797. |
Find the midpoint of the line segment whose endpoints are (7, 5) and (7, 11). |
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Answer» Find the midpoint of the line segment whose endpoints are (7, 5) and (7, 11). Solution: |
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| 798. |
What is the slope of the line which passes through (4, 5) and (0, 1)? |
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Answer» What is the slope of the line which passes through (4, 5) and (0, 1)? Solution: |
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| 799. |
What is the circumference and area of a circle with a radius of 4 meters? |
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Answer» What is the circumference and area of a circle with a radius of 4 meters? Solution: |
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| 800. |
Find the quotient of 5/31 divided by 15/23. reduce your answer to the lowest fraction. |
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Answer» Find the quotient of 5/31 divided by 15/23. reduce your answer to the lowest fraction. Solution: |
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