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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.
| 1001. |
Find the distance between the points (-5, 0) and (-4, 1). |
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Answer» Find the distance between the points (-5, 0) and (-4, 1). Solution: |
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| 1002. |
Identify the maximum or minimum value and the domain and range of the graph of the function y = 2(x - 2)2 - 4. |
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Answer» Identify the maximum or minimum value and the domain and range of the graph of the function y = 2(x - 2)2 - 4. Solution: |
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| 1003. |
Use the complex conjugate to find the absolute value of 8 + 12i |
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Answer» Use the complex conjugate to find the absolute value of 8 + 12i Solution: |
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| 1004. |
If f(x) = 3x2+ 1 and g(x) = 1 - x.What is the value of (f - g)(2)? |
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Answer» If f(x) = 3x2+ 1 and g(x) = 1 - x, the value of (f - g)(2) is 14 The relationship between independent and dependent variables is defined by the function. It is denoted by f(x). |
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| 1005. |
What is the product of the complex numbers (-3i + 4) and (3i + 4) |
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Answer» What is the product of the complex numbers (-3i + 4) and (3i + 4) Solution: |
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| 1006. |
What is the range of the function y = x2? |
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Answer» What is the range of the function y = x2? Solution: |
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| 1007. |
What is the area of the rectangle wxyz with vertices w(0, 1), x(3, 4), y(-1, 8), z(-4, 5) to the nearest unit |
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Answer» What is the area of the rectangle wxyz with vertices w(0, 1), x(3, 4), y(-1, 8), z(-4, 5) to the nearest unit Solution: |
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| 1008. |
Solve the equation using square roots. x2 - 15 = 34 |
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Answer» Solve the equation using square roots. x2- 15 = 34 Solution: |
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| 1009. |
Solve the equation using square roots. x2 + 20 = 4 |
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Answer» Solve the equation using square roots. x2 + 20 = 4 Solution: |
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| 1010. |
If f(x) = x2 - 1 and g(x) = 2x - 3, what is the domain of g(f(x))? |
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Answer» If f(x) = x2- 1 and g(x) = 2x - 3, what is the domain of g(f(x))? Solution: |
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| 1011. |
Given the point (2, 3) and the slope of 4, find y when x = 22. |
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Answer» Given the point (2, 3) and the slope of 4, find y when x = 22. Solution: |
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| 1012. |
If f(x) = x2 - 25 and g(x) = x - 5, what is the domain of (f/g)(x) and find (f/g)(1)? |
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Answer» If f(x) = x2- 25 and g(x) = x - 5, what is the domain of (f/g)(x) and find (f/g)(1)? Solution: |
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| 1013. |
If g(x) = 3(x - 2), find the value of x if g(x) = 6? |
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Answer» If g(x) = 3(x - 2), find the value of x if g(x) = 6? Solution: |
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| 1014. |
Simplify the rational expression. state any restrictions on the variable. k2 - k - 2/k2 - 4k - 5 |
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Answer» Simplify the rational expression. state any restrictions on the variable. k2 - k - 2/k2 - 4k - 5 Solution: |
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| 1015. |
If h(x) is the inverse of f(x), what is the value of h(f(x))? |
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Answer» If h(x) is the inverse of f(x), what is the value of h(f(x))? Solution: |
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| 1016. |
If sin A + sin B + sin C + sin D = 4, then find sin A . sin B . sin C . sin D |
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Answer» If sin A + sin B + sin C + sin D = 4, the value of sin A . sin B . sin C . sin D is 1. We shall use the range of sine function to solve this problem |
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| 1017. |
Solve the following system of equations: 3x - 2y = 6, 6x - 4y = 12. |
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Answer» Solve the following system of equations: 3x - 2y = 6, 6x - 4y = 12. Solution: |
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| 1018. |
What is the solution of log3x - 2 4096 = 3? |
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Answer» What is the solution of log3x - 24096 = 3? Solution: |
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| 1019. |
How many real number solutions are there to the equation 0 = -3x2 + x - 4 |
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Answer» How many real number solutions are there to the equation 0 = -3x2 + x - 4 Solution: |
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| 1020. |
Which is true about the polynomial 18r2s + 6r - 7s2? It is a binomial with a degree of 2. It is a binomial with a degree of 3. It is a trinomial with a degree of 2. It is a trinomial with a degree of 3. |
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Answer» Which is true about the polynomial 18r2s + 6r - 7s2? Solution: |
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| 1021. |
What is the solution of log3x - 5 16 = 2? |
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Answer» What is the solution of log3x - 5 16 = 2? Solution: |
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| 1022. |
What is the quotient (65y3 + 15y2 - 25y) ÷ 5y? |
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Answer» What is the quotient (65y3 + 15y2 - 25y) ÷ 5y? Solution: |
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| 1023. |
Select one of the factors of 4x2 + 5x - 6. (x + 6), (4x + 2), (x - 3), (4x - 3) |
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Answer» Select one of the factors of 4x2 + 5x - 6. Solution: |
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| 1024. |
If the domain is {0, 2, -6}, what is the range of y = -2x + 3? |
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Answer» If the domain is {0, 2, -6}, what is the range of y = -2x + 3? Solution: |
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| 1025. |
Given a polynomial f(x), if (x - 1) is a factor, what else must be true? f(0) = 1, f(1) = 0, f(-1) = 0, f(0) = -1. |
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Answer» Given a polynomial f(x), if (x - 1) is a factor, what else must be true? f(0) = 1, f(1) = 0, f(-1) = 0, f(0) = -1. Solution: |
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| 1026. |
If the domain of the square root function f(x) is x |
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Answer» If the domain of the square root function f(x) is x <= 7, which statement must be true? Solution: |
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| 1027. |
Simplify (cos θ - cos θ)2 + (cos θ + cos θ)2 |
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Answer» Simplify (cos θ - cos θ)2+ (cos θ + cos θ)2 Solution: |
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| 1028. |
What is the product of the radical expression (7 - sqrt 2)(8 + sqrt 2) |
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Answer» What is the product of the radical expression (7 - sqrt 2)(8 + sqrt 2) Solution: |
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| 1029. |
What is the quotient (64y3 + 20y2 - 28y) ÷ 4y? |
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Answer» What is the quotient (64y3 + 20y2 - 28y) ÷ 4y? Solution: |
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| 1030. |
What is the solution of log2x - 5 25 = 2? |
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Answer» What is the solution of log2x - 5 25 = 2? Solution: |
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| 1031. |
Find the fifth root of 32(cos 280° + i sin 280°). |
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Answer» Find the fifth root of 32(cos 280° + i sin 280°). Solution: |
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| 1032. |
What is the factored form of 3x2 - 5x - 2? |
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Answer» What is the factored form of 3x2 - 5x - 2? Solution: |
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| 1033. |
Select the factors of 6ab + 3ay - 2bx - xy. (3a - x)(2b + y) (3a - y)(2b + x) (2a - x)(3b + y) (2a - y)(3b + x) |
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Answer» Select the factors of 6ab + 3ay - 2bx - xy. Solution: |
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| 1034. |
Let f(x) = 3x + 2 and g(x) = 7x + 6. Find f.g and its domain. |
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Answer» Let f(x) = 3x + 2 and g(x) = 7x + 6. Find f.g and its domain. Solution: |
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| 1035. |
What are the solutions to the quadratic equation 4x2 = 64? |
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Answer» What are the solutions to the quadratic equation 4x2 = 64? Solution: |
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| 1036. |
Find all solutions to the equation. (sin x)(cos x) = 0 |
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Answer» Find all solutions to the equation. (sin x)(cos x) = 0 Solution: |
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| 1037. |
Factor 15x3 - 5x2 + 6x - 2 by grouping. What is the resulting expression? |
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Answer» Factor 15x3- 5x2+ 6x - 2 by grouping. What is the resulting expression? Solution: |
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| 1038. |
If y = 3x - 4 and the domain is {-3,-1,4}, Find the range. |
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Answer» If y = 3x - 4 and the domain is {-3,-1,4}, Find the range. Solution: |
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| 1039. |
What is the factored form of 6n4 - 24n3 + 18n? |
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Answer» What is the factored form of 6n4 - 24n3 + 18n? Solution: |
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| 1040. |
Let f(x) = 3x2+ x − 3 and g(x) = x2− 5x + 1. Find f(x) − g(x). |
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Answer» The value of f(x) - g(x) is2x2+ 6x − 4. The relationship between independent and dependent variable is defined by the function. It is denoted by f(x). |
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| 1041. |
Find the cube roots of 125(cos 288° + i sin 288°). |
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Answer» Find the cube roots of 125(cos 288° + i sin 288°). Solution: |
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| 1042. |
If y = 2x - 8, what is the minimum value of the product xy? |
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Answer» If y = 2x - 8, what is the minimum value of the product xy? Solution: |
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| 1043. |
Let f(x) = 4x - 5 and g(x) = 6x - 3. find f(x) - g(x)? |
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Answer» Let f(x) = 4x - 5 and g(x) = 6x - 3. find f(x) - g(x)? Solution: |
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| 1044. |
What is the probability of rolling two dice and getting a sum of 7 |
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Answer» What is the probability of rolling two dice and getting a sum of 7 Solution: |
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| 1045. |
What is the graph of the equation 4x - 5y = 15? |
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Answer» What is the graph of the equation 4x - 5y = 15? Solution: |
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| 1046. |
What is the product? (4y - 3)(2y2 + 3y - 5) |
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Answer» What is the product? (4y - 3)(2y2 + 3y - 5) Solution: |
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| 1047. |
Find the surface area of a sphere having a radius of 4". |
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Answer» Find the surface area of a sphere having a radius of 4". Solution: |
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| 1048. |
Is the relation {(1, 3), (-4, 0), (3, 1), (0, 4), (2, 3)} a function? Why or why not? |
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Answer» Is the relation {(1, 3), (-4, 0), (3, 1), (0, 4), (2, 3)} a function? Why or why not? Solution: |
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| 1049. |
Let f(x) = 9x - 2 and g(x) = -x + 3. Find f(g(x)). |
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Answer» Let f(x) = 9x - 2 and g(x) = -x + 3. Find f(g(x)). Solution: |
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| 1050. |
Let f(x) = x2 - 16 and g(x) = x + 4. Find f/g and its domain. |
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Answer» Let f(x) = x2 - 16 and g(x) = x + 4. Find f/g and its domain. Solution: |
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