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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.
| 1951. |
What is the algebraic rule for a figure that is rotated 270° clockwise about the origin? |
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Answer» What is the algebraic rule for a figure that is rotated 270° clockwise about the origin? Solution: |
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| 1952. |
What is the vertex of the graph of g(x) = |x - 8| + 6? |
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Answer» What is the vertex of the graph of g(x) = |x - 8| + 6? Solution: |
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| 1953. |
What is the sum of the angles in a rhombus? |
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Answer» What is the sum of the angles in a rhombus? Solution: |
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| 1954. |
In circle O, angle AOB measures π/3 radians. What is the length of arc AB? |
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Answer» In circle O, angle AOB measures π/3 radians. What is the length of arc AB?
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| 1955. |
Using the definition of the scalar product, find the angle between the following vectors. (Find the smallest angle.) (a) A = 5i - 9j and B = 5i - 5j (b) A = -8i + 5j and B = 3i - 4j + 2k (c) A= -2i + 2j and B = 3j + 4k |
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Answer» Using the definition of the scalar product, find the angle between the following vectors. (Find the smallest angle. a) A = 5i - 9j and B = 5i - 5j (b) A = -8i + 5j and B = 3i - 4j + 2k (c) A= -2i + 2j and B = 3j + 4k Solution: |
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| 1956. |
The radius of a sphere is increasing at a rate of 4 mm/s. How fast is the volume increasing when the diameter is 40 mm? |
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Answer» The radius of a sphere is increasing at a rate of 4 mm/s. How fast is the volume increasing when the diameter is 40 mm? Solution: |
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| 1957. |
What are the real or imaginary solutions of the polynomial equation x4- 52x2+ 576? |
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Answer» What are the real or imaginary solutions of the polynomial equation x4- 52x2+ 576? Solution: |
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| 1958. |
What is the 8th term of the geometric sequence where a1 = 256 and a3 = 16? |
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Answer» What is the 8th term of the geometric sequence where a1 = 256 and a3 = 16? Solution: |
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| 1959. |
How does the graph of y = 3x compare to the graph of y = 3 - x? |
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Answer» How does the graph of y = 3x compare to the graph of y = 3 - x? Solution: |
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| 1960. |
Use the definition of the scalar product, find the angles between the following pairs of vectors: A = 3i + 4j - 4k and B = 4i - 5j + 5k? |
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Answer» Use the definition of the scalar product, find the angles between the following pairs of vectors: A = 3i + 4j - 4k and B = 4i - 5j + 5k? Solution: |
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| 1961. |
What is the x-coordinate of the vertex of the parabola whose equation is y = 3x2 + 12x + 5? |
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Answer» What is the x-coordinate of the vertex of the parabola whose equation is y = 3x2+ 12x + 5? Solution: |
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| 1962. |
Which function represents a reflection of f(x) = 5(0.8)x across the x-axis? g(x) = 5(0.8)-x g(x) = -5(0.8)x g(x) = (0.8)x g(x) = 5(-0.8)x |
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Answer» Which function represents a reflection of f(x) = 5(0.8)xacross the x-axis? Solution: |
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| 1963. |
What is the 7th term of the geometric sequence where a1 = 1,024 and a4 = -16? |
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Answer» What is the 7th term of the geometric sequence where a1 = 1,024 and a4 = -16? Solution: |
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| 1964. |
Identify the 16th term of a geometric sequence where a1 = 4 and a8 = -8,748. |
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Answer» Identify the 16th term of a geometric sequence where a1 = 4 and a8 = -8,748. Solution: |
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| 1965. |
What is a possible value for the missing term of the geometric sequence 1250 , __ , 50 ,..? |
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Answer» What is a possible value for the missing term of the geometric sequence 1250 , __ , 50,..? Solution: |
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| 1966. |
Find the sixth term of a geometric sequence with t5 = 24 and t8 = 3. |
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Answer» Find the sixth term of a geometric sequence with t5= 24 and t8= 3. Solution: |
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| 1967. |
Find the value of x for which l is parallel to m. The diagram is not to scale. Lines l and m are parallel. |
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Answer» Find the value of x for which l is parallel to m. The diagram is not to scale. Lines l and m are parallel.
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| 1968. |
What is the common ratio of the geometric sequence below? 625, 125, 25, 5, 1, … |
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Answer» What is the common ratio of the geometric sequence below? 625, 125, 25, 5, 1, … Solution: |
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| 1969. |
What transformation is represented by the rule (x, y)→(-x, -y)? Reflection across the x-axis Rotation of 180° about the origin Rotation of 90° counterclockwise about the origin Reflection across the y-axis |
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Answer» What transformation is represented by the rule (x, y)→(-x, -y)? Solution: |
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| 1970. |
Find a + b, 2a + 3b, |a|, and |a - b|. a = i + 4j - 3k, b = -4i - j + 5k |
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Answer» Find a + b, 2a + 3b, |a|, and |a - b|. a = i + 4j - 3k, b = -4i - j + 5k Solution: |
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| 1971. |
Solve and graph the absolute value inequality: |2x + 4| > 14. |
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Answer» Solve and graph the absolute value inequality: |2x + 4| > 14. Solution: |
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| 1972. |
What is the common ratio of the geometric sequence below? -2, 4, -8, 16, -32, … |
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Answer» What is the common ratio of the geometric sequence below? -2, 4, -8, 16, -32, … Solution: |
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| 1973. |
Simplify 5 log2 k - 8 log2 m + 10 log2 n. |
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Answer» Simplify 5 log2k - 8 log2m + 10 log2n. Solution: |
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| 1974. |
Find the first partial derivatives of the function. f(x, y) = x7y? |
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Answer» Find the first partial derivatives of the function. f(x, y) = x7y? Solution: |
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| 1975. |
Simplify (15x2 - 24x + 9) ÷ (3x - 3) = ? |
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Answer» Simplify (15x2- 24x + 9) ÷ (3x - 3) = ? Solution: |
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| 1976. |
Which exponential function goes through the points (1, 16) and (4, 128)? f(x) = 4(4)x f(x) = 8(2)x f(x) = 8(2)-x f(x) = 4(4)-x |
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Answer» Which exponential function goes through the points (1, 16) and (4, 128)? Solution: |
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| 1977. |
Find the sum of a finite arithmetic sequence from n = 1 to n = 15, using the expression2n+ 5. |
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Answer» Find the sum of a finite arithmetic sequence from n = 1 to n = 15, using the expression2n+ 5. Solution: |
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| 1978. |
What is the 32nd term of the arithmetic sequence where a1 = 12 and a13 = -60? |
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Answer» What is the 32nd term of the arithmetic sequence where a1 = 12 and a13 = -60? Solution: |
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| 1979. |
The length of the shadow of a building is 100 meters, as shown below: the shadow of a building is 100 meters long. The acute angle that the shadow makes with the line joining the tip of the building to the end of the shadow measures 45 degrees. What is the height of the building? |
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Answer» The length of the shadow of a building is 100 meters, as shown below: the shadow of a building is 100 meters long. The acute angle that the shadow makes with the line joining the tip of the building to the end of the shadow measures 45 degrees. What is the height of the building? Solution: |
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| 1980. |
Find the standard form of the equation of the ellipse satisfying the given conditions. Foci: (0, -2), (0, 2); Vertices: (0, -8), (0, 8) |
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Answer» Find the standard form of the equation of the ellipse satisfying the given conditions. Foci: (0, -2), (0, 2); Vertices: (0, -8), (0, 8) Solution: |
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| 1981. |
Find the standard form of the equation of the ellipse satisfying the given conditions below. Endpoints of major axis: (-11, 1) and (7, 1); endpoints of minor axis: (-2, -2) and (-2, 4) |
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Answer» Find the standard form of the equation of the ellipse satisfying the given conditions below. Endpoints of major axis: (-11, 1) and (7, 1); endpoints of minor axis: (-2, -2) and (-2, 4) Solution: |
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| 1982. |
A pentagon can be divided into 5 congruent triangles. The function y = 5 tanθ models the height of each triangle. What is the area of the pentagon if θ = 54 degrees? |
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Answer» A pentagon can be divided into 5 congruent triangles. The function y = 5 tanθ models the height of each triangle. What is the area of the pentagon if θ = 54 degrees? Solution: |
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| 1983. |
The length of the shadow of a building is 120 meters, as shown below. The shadow of a building is 120 meters long. The acute angle that the shadow makes with the line joining the tip of the building to the end of the shadow measures 60 degrees. What is the height of the building? |
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Answer» The length of the shadow of a building is 120 meters, as shown below. The shadow of a building is 120 meters long. The acute angle that the shadow makes with the line joining the tip of the building to the end of the shadow measures 60 degrees. What is the height of the building?
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| 1984. |
Where does the graph of y = sin x from x = 0 to x = 2π start? At its minimum At an x-intercept At its maximum Between an x-intercept and its maximum |
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Answer» Where does the graph of y = sin x from x = 0 to x = 2π start? At its minimum At an x-intercept At its maximum Between an x-intercept and its maximum Solution: |
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| 1985. |
What is an angle between 0° and 360° that is coterminal with -86°? |
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Answer» The coterminal for 86° will be however -360° + 86° = -274° Solution: |
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| 1986. |
Cylinder A has a radius of 1 m and a height of 4 m. Cylinder B has a radius of 2 m and a height of 4 m. Find the ratio of the volume of cylinder A to the volume of cylinder B. |
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Answer» Cylinder A has a radius of 1 m and a height of 4 m. Cylinder B has a radius of 2 m and a height of 4 m. Find the ratio of the volume of cylinder A to the volume of cylinder B. Solution: |
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| 1987. |
Find the sum of a finite arithmetic sequence from n = 1 to n = 13, using the expression 3n + 3. |
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Answer» Find the sum of a finite arithmetic sequence from n = 1 to n = 13, using the expression 3n + 3. Solution: |
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| 1988. |
In which quadrant is the number 6 - 8i located on the complex plane? |
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Answer» In which quadrant is the number 6 - 8i located on the complex plane? Solution: |
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| 1989. |
Which logarithmic graph can be used to approximate the value of y in the equation 2y = 5? |
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Answer» Which logarithmic graph can be used to approximate the value of y in the equation 2y = 5? Solution: |
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| 1990. |
Find the vertex of the parabola whose equation is y = x2 - 4x + 6. |
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Answer» Find the vertex of the parabola whose equation is y = x2- 4x + 6. Solution: |
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| 1991. |
Find the center and radius of the circle with equation (x + 2)2 + (y - 2)2= 36? |
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Answer» Find the center and radius of the circle with equation (x + 2)2 + (y - 2)2= 36? Solution: |
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| 1992. |
Find the area of the trapezoid shown. 39√3 sq.units, 43.5 sq.units, 43.5√3 sq.units |
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Answer» Find the area of the trapezoid shown.
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| 1993. |
Find the vertex of the parabola whose equation is y = -2x2 + 8x - 5. |
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Answer» Find the vertex of the parabola whose equation is y = -2x2+ 8x - 5. Solution: |
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| 1994. |
A bicycle pedal is pushed by a foot with a 60-N force as shown. The shaft of the pedal is 16 cm long. Find the magnitude of the torque about P. |
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Answer» A bicycle pedal is pushed by a foot with a 60-N force as shown. The shaft of the pedal is 16 cm long. Find the magnitude of the torque about P.
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| 1995. |
Which of the following could be the measure of the angle below? -180°, -120°, 140°, 510° |
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Answer» Which of the following could be the measure of the angle below?
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| 1996. |
(x - 1)/x2 - x - 20, give the equivalent numerator if the denominator is (x - 5)(x + 4)(x + 3). |
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Answer» (x - 1)/x2- x - 20, give the equivalent numerator if the denominator is (x - 5)(x + 4)(x + 3). Solution: |
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| 1997. |
Find the values of the six trigonometric functions of θ with the given constraint. Function Value sec θ = -2 Constraint sin θ < 0 |
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Answer» Find the values of the six trigonometric functions of θ with the given constraint. Function Value sec θ = -2 Constraint sin θ < 0 Solution: |
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| 1998. |
What are the coefficients for the binomial expansion of (p + q)6? |
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Answer» What are the coefficients for the binomial expansion of (p + q)6? Solution: |
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| 1999. |
Point O is the incenter of triangle ABC. What is m QOB?30°, 60°, 75°, 90° |
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Answer» Point O is the incenter of triangle ABC. What is m QOB?30°, 60°, 75°, 90°
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| 2000. |
What is the minimum vertical distance between the parabolas y = x2 + 1 and y = x - x2 |
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Answer» What is the minimum vertical distance between the parabolas y = x2+ 1 and y = x - x2 Solution: |
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