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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.
| 2251. |
An angle bisector of a triangle divides the opposite side of the triangle into segments 6 cm and 5 cm long. The second side of the triangle is 6.9 cm long. Find the longest and shortest possible lengths of the third side of the triangle. Round answers to the nearest tenth of a centimeter. |
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Answer» An angle bisector of a triangle divides the opposite side of the triangle into segments 6 cm and 5 cm long. The second side of the triangle is 6.9 cm long. Find the longest and shortest possible lengths of the third side of the triangle. Round answers to the nearest tenth of a centimeter. Solution: |
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| 2252. |
Perform the requested operation or operations. f(x) = 4x + 6, g(x) = 5x2. Find (f + g)(x). |
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Answer» Perform the requested operation or operations. f(x) = 4x + 6, g(x) = 5x2. Find (f + g)(x). Solution: |
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| 2253. |
Given the equation 3x + 25 = 7x - 5, which order of operations completely solves for x? Add 3x, then subtract 25, lastly divide by 10 Subtract 3x, then add 5, lastly divide by 4 Add 7x, then add 25, lastly divide by 10 Subtract 7x, then add 5, lastly divide by 10 |
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Answer» Given the equation 3x + 25 = 7x - 5, which order of operations completely solves for x? Solution: |
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| 2254. |
Find dy/dx. x = t/8 + t , y = 8 + t |
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Answer» Find dy/dx. x = t/8 + t , y = 8 + t Solution: |
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| 2255. |
What number is needed to complete the pattern below? 5, 10, 3, 15, 20, 13, 25, 30, __? |
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Answer» What number is needed to complete the pattern below? 5, 10, 3, 15, 20, 13, 25, 30, __? Solution: |
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| 2256. |
Which of the following equations is of a parabola with a vertex at (1, 2)? y = (x - 1)2 - 2 y = (x - 1)2 + 2 y = (x + 1)2 - 2 y = (x + 1)2 + 2 |
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Answer» Which of the following equations is of a parabola with a vertex at (1, 2)? Solution: |
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| 2257. |
Find the area of the largest isosceles triangle that can be inscribed in a circle of radius 6? |
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Answer» Find the area of the largest isosceles triangle that can be inscribed in a circle of radius 6? Solution: |
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| 2258. |
The length of an arc of a circle is 4 cm and its radius is 6 cm. Find the area of this sector of the circle? |
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Answer» The length of an arc of a circle is 4 cm and its radius is 6 cm. Find the area of this sector of the circle? Solution: |
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| 2259. |
Find the value of 7 + 32 (-5 + 1) ÷ 2. |
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Answer» Find the value of 7 + 32 (-5 + 1) ÷ 2. Solution: |
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| 2260. |
What is the quotient when x3 - 5x2 + 2x + 5 is divided by x - 2? |
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Answer» What is the quotient when x3 - 5x2 + 2x + 5 is divided by x - 2? Solution: |
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| 2261. |
Which of the following is a function equivalent to f(x) = 5(1.9)3x? f(x) = 34.29x f(x) = 5(6.86x) f(x) = 5(6.86)x f(x) = 328.51x |
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Answer» Which of the following is a function equivalent to f(x) = 5(1.9)3x? Solution: |
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| 2262. |
If cos θ = -2/5 and tan θ > 0, what is the value of sin θ? |
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Answer» If cosθ = -2/5 and tanθ > 0, what is the value of sinθ? Solution: |
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| 2263. |
Given the following venn diagram, find n[ A ∪ ( B ∩ C ) ]. |
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Answer» Given the following venn diagram, find n[ A ∪ ( B ∩ C ) ].
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| 2264. |
How do you use the intermediate value theorem to show that there is a root of the equation 2x3+ x2+ 2 = 0 over the interval (-2, -1)? |
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Answer» How do you use the intermediate value theorem to show that there is a root of the equation 2x3+ x2+ 2 = 0 over the interval (-2, -1)? Solution: |
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| 2265. |
Find the function h(x) = f(x).g(x) if f(x) = x(2 - x) and g(x) = 3x. |
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Answer» Find the function h(x) = f(x).g(x) if f(x) = x(2 - x) and g(x) = 3x. Solution: |
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| 2266. |
Find the standard form of the equation of the parabola with the given characteristics and vertex at the origin. Directrix: x = -4. |
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Answer» Find the standard form of the equation of the parabola with the given characteristics and vertex at the origin. Directrix: x = -4. Solution: |
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| 2267. |
The equation of a line is x + 5y = 12. What is the y-intercept of the line? |
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Answer» The equation of a line is x + 5y = 12. What is the y-intercept of the line? Solution: |
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| 2268. |
What is the remainder when (3x4 + 2x3 - x2 + 2x - 24) ÷ (x + 2)? |
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Answer» What is the remainder when (3x4+ 2x3- x2+ 2x - 24) ÷ (x + 2)? Solution: |
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| 2269. |
What are the approximate solutions of 2x2 - 7x = 3, rounded to the nearest hundredth? |
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Answer» What are the approximate solutions of 2x2- 7x = 3, rounded to the nearest hundredth? Solution: |
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| 2270. |
If mVUW = (4x + 6)° and mWUT = (6x - 10)°, what is the measure of WUT? |
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Answer» If mVUW = (4x + 6)° and mWUT = (6x - 10)°, what is the measure of WUT? Solution: |
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| 2271. |
You invested $1,200 in a mutual fund. Your account now has a value of $1,333. Your gain was: |
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Answer» You invested $1,200 in a mutual fund. Your account now has a value of $1,333. Your gain was: Solution: |
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| 2272. |
Which of the solution sets is all real numbers? |x| < -1,|x| = -1,|x| > -1,None of the above |
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Answer» Which of the solution sets is all real numbers? Solution: |
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| 2273. |
Use the Law of Sines to find the missing side of the triangle. Find b. |
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Answer» Use the Law of Sines to find the missing side of the triangle. Find b.
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| 2274. |
In how many ways can 4 married couples (total of 8 people) be seated in a row if: (a) there are no restrictions on the seating arrangement? (b) persons A and B must sit next to each other?(c) there are 4 men and 4 women and no 2 men or 2 women can sit next to each other? (d) there are 5 men and they must sit next to one another? (e) there are 4 married couples and each couple must sit together? |
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Answer» In how many ways can 4 married couples (total of 8 people) be seated in a row if: (a) there are no restrictions on the seating arrangement? (b) persons A and B must sit next to each other?(c) there are 4 men and 4 women and no 2 men or 2 women can sit next to each other? (d) there are 5 men and they must sit next to one another? (e) there are 4 married couples and each couple must sit together? Solution: |
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| 2275. |
Choose the correct sum of the polynomials (6x3 - 8x - 5) + (3x3 + 6x + 2). 9x3 - 2x - 3 3x3 + 2x + 3 3x3 - 2x - 3 9x3 + 14x + 3 |
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Answer» Choose the correct sum of the polynomials (6x3- 8x - 5) + (3x3+ 6x + 2). Solution: |
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| 2276. |
Find the inverse of each of the given functions. f(x) = 4x - 12 |
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Answer» Find the inverse of each of the given functions. f(x) = 4x - 12 Solution: |
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| 2277. |
A musician plans to perform 8 selections. In how many ways can she arrange the musical selections? |
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Answer» A musician plans to perform 8 selections. In how many ways can she arrange the musical selections? Solution: |
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| 2278. |
Find the points on the graph of the function that are closest to the given point. f(x) = x2 -5, (0, -4) |
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Answer» Find the points on the graph of the function that are closest to the given point. f(x) = x2 -5, (0, -4) Solution: |
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| 2279. |
Solve the equation 4(x - 1) - x = 3(x + 5) - 11. |
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Answer» Solve the equation 4(x - 1) - x = 3(x + 5) - 11. Solution: |
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| 2280. |
What is the area of a sector with a central angle of 185 degrees and a diameter of 6.4m? |
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Answer» What is the area of a sector with a central angle of 185 degrees and a diameter of 6.4m? Solution: |
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| 2281. |
Two square pyramids have the same volume. For the first pyramid, the side length of the base is 20 in., and the height is 21 in. The second pyramid has a height of 84 in. What is the side length of the base of the second pyramid? |
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Answer» Two square pyramids have the same volume. For the first pyramid, the side length of the base is 20 in., and the height is 21 in. The second pyramid has a height of 84 in. What is the side length of the base of the second pyramid? Solution: |
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| 2282. |
If a die is rolled twice, what is the probability of rolling a 5 and then a 2? |
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Answer» If a die is rolled twice, what is the probability of rolling a 5 and then a 2? Solution: |
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| 2283. |
What is the equation of a line that passes through (4, 3) and has a slope of 2? |
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Answer» What is the equation of a line that passes through (4, 3) and has a slope of 2? Solution: |
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| 2284. |
Find equations of the tangent lines to the curve y = (x - 1) / (x + 1) that are parallel to the line x - 2y = 2 |
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Answer» Find equations of the tangent lines to the curve y = (x - 1) / (x + 1) that are parallel to the line x - 2y = 2 Solution: |
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| 2285. |
One number is 2 more than 3 times another. Their sum is 22. Find the numbers. |
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Answer» One number is 2 more than 3 times another. Their sum is 22. Find the numbers. Solution: |
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| 2286. |
Find the point on the graph of the function that is closest to the point. f(x)=x2 (2,1/2) |
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Answer» Find the point on the graph of the function that is closest to the point. f(x)=x2 (2,1/2). Solution: |
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| 2287. |
What is the percent increase of the price of a hair piece that was increased from $500 to $550? |
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Answer» What is the percent increase of the price of a hair piece that was increased from $500 to $550? Solution: |
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| 2288. |
Which calculation can be used to find the value of q in the equation q3 = 64? |
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Answer» Which calculation can be used to find the value of q in the equation q3= 64? Solution: |
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| 2289. |
What value of x is in the solution set of 4x - 12 ≤ 16 + 8x? -10,-9,-8,-7 |
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Answer» What value of x is in solution set of 4x - 12 ≤ 16 + 8x? Solution: |
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| 2290. |
Plot the point whose polar coordinates are given. then find the cartesian coordinates of the point. (3, 3π/2) |
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Answer» Plot the point whose polar coordinates are given. then find the cartesian coordinates of the point. (3, 3π/2) Solution: |
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| 2291. |
Find the surface area of the part of the sphere x2+ y2+ z2= 81 that lies above the cone z = √(x2+ y2) |
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Answer» Find the surface area of the part of the sphere x2+ y2+ z2= 81 that lies above the cone z = √ (x2+ y2) Solution: |
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| 2292. |
What is the simplest form of the expression 6x(x - 4)-16x2- (9x - 1)? |
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Answer» What is the simplest form of the expression 6x(x - 4) - 16x2- (9x - 1)? Solution: |
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| 2293. |
Identify the vertical asymptotes of f(x) = 2/ x2 + 3x - 10. |
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Answer» Identify the vertical asymptotes of f(x) = 2/ x2+ 3x - 10. Solution: |
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| 2294. |
Find the coordinates of the midpoint of the segment whose endpoints are (10, 6) and (-4, 8). |
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Answer» Find the coordinates of the midpoint of the segment whose endpoints are (10, 6) and (-4, 8). Solution: |
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| 2295. |
What is the sum of the geometric sequence 3, 15, 75, … if there are 7 terms? |
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Answer» What is the sum of the geometric sequence 3, 15, 75, … if there are 7 terms? Solution: |
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| 2296. |
Find a tangent vector of unit length at the point with the given value of the parameter t. r(t) = (7 + t2)i + t2j, t = 1 |
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Answer» Find a tangent vector of unit length at the point with the given value of the parameter t. r(t) = (7 + t2)i + t2j, t = 1 Solution: |
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| 2297. |
y = x - 6, x = -4 what is the solution to the system of equations? (-8, -4),(-4, -8),(-4, 4),(4, -4) |
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Answer» y= x - 6 x = -4 what is the solution to the system of equations? Solution: |
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| 2298. |
Can you conclude that A = B if A, B, and C are sets such that A ∪ C = B ∪ C, A ∩ C = B ∩ C, A ∪ C = B ∪ C , A ∩ C = B ∩ C |
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Answer» Can you conclude that A = B if A, B, and C are sets such that A ∪ C = B ∪ C, A ∩ C = B ∩ C, A ∪ C = B ∪ C , A ∩ C = B ∩ C Solution: |
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| 2299. |
What is the sum of the geometric sequence 4, 16, 64, … if there are 8 terms? |
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Answer» What is the sum of the geometric sequence 4, 16, 64, … if there are 8 terms? Solution: |
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| 2300. |
Draw the Venn diagrams for each of these combinations of the sets A, B, and C. A ∩ (B ∪ C) A̅ ∩ B̅ ∩ C̅ (A -B) ∪ (A -C) ∪ (B -C) |
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Answer» Draw the Venn diagrams for each of these combinations of the sets A, B, and C. A ∩ (B ∪ C) A̅ ∩ B̅ ∩ C̅ (A -B) ∪ (A -C) ∪ (B -C) Solution: |
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