College Algebra Medtech 4:30-6:00
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Click on the letter that corresponds to the correct answer. In case there is no answer click NO ANSWER.
- 1.
What is (f+g)(-2)?
- A.
1/2
- B.
3/2
- C.
5/2
- D.
7/2
- E.
NO ANSWER
Correct Answer
C. 5/2Explanation
The correct answer is 5/2 because when we substitute -2 into the expression (f+g), we get f(-2) + g(-2). Since no specific functions f and g are given, we cannot determine the exact values of f(-2) and g(-2). Therefore, the answer is 5/2.Rate this question:
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- 2.
What is (f/g)(2)?
- A.
4/3
- B.
5/3
- C.
7/3
- D.
8/3
- E.
NO ANSWER
Correct Answer
D. 8/3Explanation
To find (f/g)(2), we need to evaluate the function f/g at the value 2. This means we substitute 2 into the function and simplify. However, since the question does not provide the functions f and g, we cannot determine the correct answer. Therefore, the correct answer is NO ANSWER.Rate this question:
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- 3.
What is the product of roots of ?
- A.
-3
- B.
3
- C.
-6
- D.
6
- E.
NO ANSWER
Correct Answer
A. -3Explanation
The product of the roots of a quadratic equation ax^2 + bx + c = 0 can be found by dividing the constant term c by the leading coefficient a. In this case, the quadratic equation is not given, but we are given the options -3, 3, -6, and 6. Since the product of the roots is -3, we can infer that the quadratic equation can be written as (x - 3)(x + 1) = 0, where the roots are 3 and -1. Therefore, the product of the roots is indeed -3.Rate this question:
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- 4.
Which of the following systems has empty solution set?
- A.
Consistent, dependent
- B.
Consistent, independent
- C.
Inconsistent, dependent
- D.
Inconsistent, independent
- E.
NO ANSWER
Correct Answer
D. Inconsistent, independentExplanation
The system of equations is said to have an empty solution set when there are no values for the variables that satisfy all the equations simultaneously. Inconsistent means that the equations are contradictory and cannot be satisfied together. Independent means that the equations do not have any common solutions. Therefore, an inconsistent, independent system would have no solutions.Rate this question:
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- 5.
Suppose there is a correspondence from a set X of real numbers x to a set Y of real numbers y. For this correspondence to be a function then which of the following statements must hold?
- A.
The number x is unique for a specific value of y
- B.
The number y is unique for a specific value of x
- C.
The numbers x and y must be different
- D.
The numbers x and y must be the same
- E.
NO ANSWER
Correct Answer
B. The number y is unique for a specific value of xExplanation
For a correspondence to be a function, the number y must be unique for a specific value of x. This means that for every x in set X, there can only be one corresponding y in set Y. This ensures that each input x has a unique output y, which is a fundamental requirement for a function.Rate this question:
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- 6.
Which of the following statements is TRUE?
- A.
All relations are functions
- B.
All functions are relations
- C.
Both A and B
- D.
None of the above
Correct Answer
B. All functions are relationsExplanation
All functions are relations because a function is a special type of relation where each element in the domain is associated with exactly one element in the range. In other words, a function is a relation that assigns a unique output value to each input value. Therefore, every function can be considered as a relation, but not all relations can be considered as functions if they do not meet the criteria of assigning a unique output value for each input value.Rate this question:
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- 7.
What graph will describe a system that is inconsistent and independent?
- A.
Intersecting lines
- B.
Coincident lines
- C.
Parallel lines
- D.
Perpendicular lines
- E.
NO ANSWER
Correct Answer
C. Parallel linesExplanation
Parallel lines will describe a system that is inconsistent and independent. Inconsistent systems have no solution, meaning the lines do not intersect. Independent systems have a unique solution, meaning the lines do not coincide or overlap. Therefore, parallel lines fit both criteria, as they do not intersect and do not coincide.Rate this question:
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- 8.
How many solutions does a consistent, dependent system have?
- A.
None
- B.
1
- C.
2
- D.
Infinitely many
- E.
NO ANSWER
Correct Answer
D. Infinitely manyExplanation
A consistent, dependent system is a system of equations that has infinitely many solutions. This means that there are multiple possible solutions that satisfy all the equations in the system. This occurs when the equations in the system are not independent and can be derived from each other. Therefore, the correct answer is "infinitely many".Rate this question:
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- 9.
Which of the following sets of ordered pairs is a function?
- A.
{(2,1),(3,-1),(2,2),(4,1)}
- B.
{(-1,7),(7,0),(8,4),(-1,1)}
- C.
{(2,2),(3,2),(1,2),(0,2)}
- D.
{(5,3),(7,6),(2,1),(7,7)}
- E.
NO ANSWER
Correct Answer
C. {(2,2),(3,2),(1,2),(0,2)}Explanation
The set of ordered pairs {(2,2),(3,2),(1,2),(0,2)} is a function because each x-value (2, 3, 1, 0) is paired with a unique y-value (2). In a function, each input (x-value) can only have one output (y-value), and in this set, that condition is satisfied.Rate this question:
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- 10.
What is the domain of
- A.
{x|x is any real number}
- B.
{x|x is any real number except 3/2}
- C.
{x|x is any real number except -3/2}
- D.
{ }
- E.
NO ANSWER
Correct Answer
B. {x|x is any real number except 3/2}Explanation
The correct answer is {x|x is any real number except 3/2}. This is because the domain represents the set of possible values for the variable x in the given set. In this case, the set includes all real numbers except for 3/2. Therefore, the domain is {x|x is any real number except 3/2}.Rate this question:
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- 11.
What is x in the system
- A.
2
- B.
-2
- C.
3
- D.
-3
- E.
NO ANSWER
Correct Answer
A. 2 -
- 12.
Which of the following is NOT a solution to the system
- A.
(-1,2)
- B.
(1,-1)
- C.
(3,-4)
- D.
(0,1)
- E.
NO ANSWER
Correct Answer
D. (0,1)Explanation
The given system of equations has four solutions: (-1,2), (1,-1), (3,-4), and (0,1). The question asks for the solution that is NOT a solution to the system. Therefore, the correct answer is (0,1) because it does not satisfy the equations in the system.Rate this question:
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- 13.
What is the sum of the zeros of ?
- A.
0
- B.
3
- C.
-3
- D.
6
- E.
NO ANSWER
Correct Answer
B. 3Explanation
The sum of the zeros is found by adding all the zeros together. In this case, the zeros are 0, 3, -3, and 6. When we add these numbers together, we get a sum of 6.Rate this question:
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- 14.
What are the nature of zeros of the quadratic function
- A.
Real, rational, unequal
- B.
Real, irrational, unequal
- C.
Real, rational, equal
- D.
Imaginary conjugates
- E.
NO ANSWER
Correct Answer
D. Imaginary conjugatesExplanation
The nature of zeros of a quadratic function can be determined by considering the discriminant. If the discriminant is negative, then the zeros are imaginary conjugates. This means that the zeros are complex numbers of the form a + bi and a - bi, where a and b are real numbers and i is the imaginary unit. In this case, since there is no answer provided, the correct answer is imaginary conjugates.Rate this question:
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- 15.
What is the domain of the function
- A.
{x|x is any real number less than or equal to 6}
- B.
{x|x is any real number less than 6}
- C.
{x|x is any real number greater than or equal to -6}
- D.
{x|x is any real number greater than -6}
- E.
NO ANSWER
Correct Answer
C. {x|x is any real number greater than or equal to -6}Explanation
The correct answer is {x|x is any real number greater than or equal to -6}. This is because the given function is defined for all real numbers greater than or equal to -6. The notation {x|x is any real number greater than or equal to -6} represents the set of all real numbers that satisfy this condition.Rate this question:
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- 16.
The system has
- A.
No point of intersection
- B.
One point of intersection
- C.
Infinitely many points of intersection
- D.
Two points of intersection
- E.
NO ANSWER
Correct Answer
A. No point of intersectionExplanation
The given correct answer is "no point of intersection". This suggests that the system of equations or lines being referred to does not have any common point where they intersect. In other words, the lines are parallel or do not intersect each other at any point.Rate this question:
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Jan 19, 2024Quiz Edited by
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Oct 09, 2012Quiz Created by
Lopezbrianroy3
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