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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.
| 6301. |
y = 4x - 10, y = 2. What is the solution to the system of equations? (3, 2),(2, 3),(-2, 2),(2, -2) |
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Answer» y = 4x - 10, y = 2. What is the solution to the system of equations? Solution: |
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| 6302. |
What is the rational number equivalent to 3 point 24 with a bar over 24? |
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Answer» What is the rational number equivalent to 3 point 24 with a bar over 24? Solution: |
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| 6303. |
List the names of the things of triangle-shaped objects. |
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Answer» The names of the things of triangle-shaped objects are sandwiches and birthday banners.
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| 6304. |
What is the solution of the system of equations? x + 2y = 7 and x - 2y = -1 |
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Answer» What is the solution of the system of equations? x + 2y = 7 and x - 2y = -1 Solution: |
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| 6305. |
Write an equation for the translation of the function. y = cos x; translated 6 units up. |
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Answer» Write an equation for the translation of the function. y = cos x; translated 6 units up. Solution: |
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| 6306. |
What is the solution set of the system? Use substitution. 3x + 2y = 7 and y = -3x + 11 |
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Answer» What is the solution set of the system? Use substitution. 3x + 2y = 7 and y = -3x + 11 Solution: |
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| 6307. |
For what values of a and b is the line 2x + y = b tangent to the parabola y = ax² when x = 2? |
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Answer» For what values of a and b is the line 2x + y = b tangent to the parabola y = ax² when x = 2? Solution: |
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| 6308. |
A race car is traveling on a straight track at a velocity of 80 meters per second. Determine the distance covered in 10 seconds. |
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Answer» The distance covered at the speed of 80 meters per second in 10 seconds is 800 meters. We will use the concept of speed, distance, and time in order to find the distance. |
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| 6309. |
What is the y-value of the vertex of the function f(x) = -(x + 8)(x - 14)? |
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Answer» What is the y-value of the vertex of the function f(x) = -(x + 8)(x - 14)? Solution: |
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| 6310. |
What is the simplified form of 3 over 2x minus 5 + 21 over 8 x squared minus 14x minus 15? |
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Answer» What is the simplified form of 3 over 2x minus 5 + 21 over 8 x squared minus 14x minus 15? Solution: |
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| 6311. |
Can you conclude that a = b if a and b are two sets with the same power set? |
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Answer» Can you conclude that a = b if a and b are two sets with the same power set? Solution: |
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| 6312. |
Which value on the number line is the best estimate of the center of the data set? |
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Answer» Which value on the number line is the best estimate of the center of the data set?
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| 6313. |
What are the x- and y-intercepts of the graph of y = x2 +3x-10? |
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Answer» What are the x- and y-intercepts of the graph of y = x2 +3x-10? Solution: |
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| 6314. |
Write the first ten terms of a sequence whose first term is -10 and whose common difference is -2. |
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Answer» Write the first ten terms of a sequence whose first term is -10 and whose common difference is -2. Solution: |
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| 6315. |
Find the shortest distance d, from the point (3, 0, -2) to the plane x + y + z = 2. |
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Answer» Find the shortest distance d, from the point (3, 0, -2) to the plane x + y + z = 2. Solution: |
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| 6316. |
Given the trinomial 3x2 - 6x + 5, what is the value of the discriminant? -66,-24,8,96 |
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Answer» Given the trinomial 3x2- 6x + 5, what is the value of the discriminant? Solution: |
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| 6317. |
What is the 6th term of the geometric sequence where a1 = -625 and a2 = 125? |
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Answer» What is the 6th term of the geometric sequence where a1 = -625 and a2 = 125? Solution: |
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| 6318. |
The HCFand LCMof two numbers are 33 and 264 respectively. When the first number is completely divided by 2, the quotient is 33. Find the other number. |
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Answer» If the HCFand LCMof two numbers are 33 and 264 respectively, and when the first number is completely divided by 2 for which the quotient is 33, the other number is 132. We can use the formula that explains the relationship between the LCM and HCF of two numbers and solve this problem. |
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| 6319. |
Find the value of 'm' if (-m, 3) is a solution of equations 4x + 9y - 3 = 0? |
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Answer» Find the value of 'm' if (-m, 3) is a solution of equations 4x + 9y - 3 = 0? Solution: |
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| 6320. |
Solve for x: -2(x + 3) = -2(x + 1) - 4. |
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Answer» Solve for x: -2(x + 3) = -2(x + 1) - 4. Solution: |
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| 6321. |
Convert the angle 35°58'38" to decimal degrees, and round to the nearest hundredth of a degree. |
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Answer» Convert the angle 35°58'38" to decimal degrees, and round to the nearest hundredth of a degree. Solution: |
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| 6322. |
The factorization of 8x³ - 125 is (2x - 5)(jx² + kx + 25). What are the values of j and k? |
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Answer» The factorization of 8x³ - 125 is (2x - 5)(jx² + kx + 25). What are the values of j and k? Solution: |
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| 6323. |
Find dy/dx and d2y/dx2. x = cos(2t), y = cos(t), 0 < t < π |
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Answer» Find dy/dx and d2y/dx2. x = cos(2t), y = cos(t), 0 < t < π Solution: |
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| 6324. |
What is the general form of the equation of a circle with center at (a, b) and radius of length m? x2 + y2-2ax -2by + (a2 + b2-m2) = 0. x2+ y2+ 2ax + 2by + (a2+ b2-m2) = 0. x2+ y2-2ax -2by + (a2 + b2+m2) = 0. x2+ y2+ 2ax + 2by + a2 + b2 = -m2. |
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Answer» What is the general form of the equation of a circle with center at (a, b) and radius of length m? Solution: |
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| 6325. |
Find all polar coordinates of point p where p = ordered pair 5 comma pi divided by 3. |
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Answer» Find all polar coordinates of point p where p = ordered pair 5 comma pi divided by 3. Solution: |
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| 6326. |
What is the commutative property of addition? |
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Answer» The commutative property of addition states that changing the order of the addends does not change the sum. The Commutative property states that changing the order or position of numbers while adding or multiplying them does not change the end result. |
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| 6327. |
Which represents the inverse of the function f(x) = 4x? h(x) = x + 4, h(x) = x – 4, h(x) = 3/4 x, h(x) = 1/4 x |
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Answer» Which represents the inverse of the function f(x) = 4x? h(x) = x + 4, h(x) = x – 4, h(x) = 3/4 x, h(x) = 1/4 x Solution: |
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| 6328. |
Fiona draws a circle with a diameter of 14 meters. What is the area of Fiona’s circle? 7π m2,14π m2,28π m2,49π m2 |
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Answer» Fiona draws a circle with a diameter of 14 meters. What is the area of Fiona’s circle? Solution: |
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| 6329. |
Please enter the missing number: 2, 9, 20, 37, 64, 107, ? |
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Answer» Please enter the missing number: 2, 9, 20, 37, 64, 107, ? Solution: |
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| 6330. |
Find an equation of the plane. The plane through the points (2, 1, 2), (3, -8, 6), and (-2, -3, 1)? |
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Answer» Find an equation of the plane. The plane through the points (2, 1, 2), (3, -8, 6), and (-2, -3, 1)? Solution: |
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| 6331. |
D) f(5) = 0 |
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Answer» If (x – 5) is a factor of f(x), then f(5) = 0. Hence, Option D, f(5) = 0 is correct. On dividing two numbers,if we are getting remainder equal to zero, then the smaller numberwill be thefactorof the larger number. |
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| 6332. |
C) f(–5) = 0 |
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Answer» If (x – 5) is a factor of f(x), then f(5) = 0. Hence, Option D, f(5) = 0 is correct. On dividing two numbers,if we are getting remainder equal to zero, then the smaller numberwill be thefactorof the larger number. |
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| 6333. |
B) Neither x = –5nor x = 5is a root of f(x). |
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Answer» If (x – 5) is a factor of f(x), then f(5) = 0. Hence, Option D, f(5) = 0 is correct. On dividing two numbers,if we are getting remainder equal to zero, then the smaller numberwill be thefactorof the larger number. |
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| 6334. |
A) x = –5and x = 5are roots of f(x) |
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Answer» If (x – 5) is a factor of f(x), then f(5) = 0. Hence, Option D, f(5) = 0 is correct. On dividing two numbers,if we are getting remainder equal to zero, then the smaller numberwill be thefactorof the larger number. |
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| 6335. |
If (x – 5) is a factor of f(x), which of the following must be true? |
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Answer» If (x – 5) is a factor of f(x), then f(5) = 0. Hence, Option D, f(5) = 0 is correct. On dividing two numbers,if we are getting remainder equal to zero, then the smaller numberwill be thefactorof the larger number. |
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| 6336. |
Which phrase best describes the translation from the graph y = 6x2 to the graph of y = 6(x+1)2? |
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Answer» Which phrase best describes the translation from the graph y = 6x2to the graph of y = 6(x+1)2? Solution : |
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| 6337. |
A skateboard is on sale for 60% off the regular $80 price. What is the sale price? |
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Answer» A skateboard is on sale for 60% off the regular $80 price. What is the sale price? Solution: |
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| 6338. |
What comes next in the sequence: 5, 13, 29, 61,...? |
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Answer» What comes next in the sequence: 5, 13, 29, 61,...? Solution: |
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| 6339. |
For the inverse variation equation xy = k, what is the value of x when y = 4 and k = 7? |
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Answer» For the inverse variation equation xy = k, what is the value of x when y = 4 and k = 7? Solution: |
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| 6340. |
How to find the angles of an isosceles triangle with three given sides? |
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Answer» The angles of an isosceles triangle withthree given sides can be found using thelaw of cosines. An isosceles triangle is a triangle thathas 2sides of equal length. |
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| 6341. |
If a + b + c + d = 4, then find the value of 1/(1 - a)(1 - b)(1 - c) + 1/(1 - b) (1 - c) (1 - d) + 1/(1 - c)(1 - d)(1 - a) + 1/(1 - d)(1 - b)(1 - a). |
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Answer» If a + b + c + d = 4, then the value of 1/(1 - a)(1 - b)(1 - c) + 1/(1 - b) (1 - c) (1 - d) + 1/(1 - c)(1 - d)(1 - a) + 1/(1 - d)(1 - b)(1 - a) is zero (0). We will be reducingthe given algebraic expression in the question. |
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| 6342. |
Graph the solution sets of the following inequalities : x + y ≥ 4. |
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Answer» Graph the solution sets of the following inequalities : x + y ≥ 4. Solution: |
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| 6343. |
Find the point on the line y = 4x+2 that is closest to the origin. |
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Answer» Find the point on the line y = 4x+2 that is closest to the origin. Solution: |
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| 6344. |
Suppose a bag contains 4 white chips and 6 black chips. What is the probability of randomly choosing a white chip, not replacing it, and then randomly choosing another white chip? |
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Answer» Suppose a bag contains 4 white chips and 6 black chips. What is the probability of randomly choosing a white chip, not replacing it, and then randomly choosing another white chip? Solution: |
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| 6345. |
Evaluate the summation of negative 2 n minus 3, from n equals 2 to 10. |
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Answer» Evaluate the summation of negative 2 n minus 3, from n equals 2 to 10. Solution: |
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| 6346. |
What is 11/16 as a decimal? |
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Answer» 11/16 as a decimal is0.6875 Adecimalnumber can bedefinedas a number whose whole number part and the fractional part are separated by adecimalpoint. |
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| 6347. |
How to find the height of a triangle with only the base? |
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Answer» Tofindthe height of a triangle we need to know the base and the area of the triangle. We know that the area of a triangle =1/2 × base × height |
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| 6348. |
Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. r = 4 cos 3θ |
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Answer» Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. r = 4 cos 3θ Solution: |
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| 6349. |
At what point do the curves r1 (t) = t, 4 - t, 35 + t2 and r2 (s) = 7 - s, s - 3, s2 intersect? |
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Answer» At what point do the curves r1 (t) = t, 4 - t, 35 + t² and r2 (s) = 7 - s, s - 3, s² intersect? Solution: |
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| 6350. |
Let f(x) = 1/2x . compute limh→0 f(5 + h) − f(5) all over h. |
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Answer» Given f(x) = 1/2x compute limh→0 f(5 + h) − f(5) all over h. Solution: |
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