Spring Final Exam Practice
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What does it mean for a quadratic function to have no zeros?
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The graph does not touch or pass through the x-axis
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The function is not made up of a factorable rule
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The function is undefined when x=0
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The graph is not a parabola
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About This Quiz
Answer as many questions as you want. You will receive 1 bonus test point for every 5 correct answers you give. No partial points will be awarded. For example: if you answer 18 questions correctly you earn 3 bonus test points. You may take the quiz one time for extra credit, so be sure you are able to give it your complete and undivided attention. You can take it a second, third and fourth time for extra practice, but not credit.
Thanks for a great year!
Mr. Melchor
Quiz Preview
- 2.
Find the axis of symmetry of the parabola with zeros -1 and 6
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X = 1.5
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X = 2
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X = 2.5
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X = 3
Correct Answer
A. X = 2.5Explanation
The axis of symmetry of a parabola is a vertical line that passes through the vertex of the parabola. The vertex is the midpoint between the zeros of the parabola. In this case, the zeros are -1 and 6. The midpoint between -1 and 6 is (6 - 1) / 2 = 2.5. Therefore, the axis of symmetry of the parabola is x = 2.5.Rate this question:
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- 3.
What is the formula for finding the axis of symmetry?
Correct Answer
A.Explanation
The formula for finding the axis of symmetry of a quadratic function is x = -b/2a, where a, b, and c are coefficients of the quadratic equation in the form ax^2 + bx + c. This formula is derived from completing the square method and represents the x-coordinate of the vertex of the parabola.Rate this question:
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- 4.
Solve by using the Zero Product Property.x = ________, ________
Correct Answer
1/3, -6
1/3, -6Explanation
The Zero Product Property states that if the product of two factors is zero, then at least one of the factors must be zero. In this case, the given answer of 1/3, -6, 1/3, -6 satisfies the Zero Product Property because when you multiply 1/3 and -6, you get zero. Therefore, the answer is valid.Rate this question:
- 5.
Solve by factoring.x = ________, ________
Correct Answer
-9, 5
-9, 5Explanation
The given answer suggests that the equation can be solved by factoring. The equation is not provided, but it can be inferred that the equation has two solutions: -9 and 5. The repetition of -9 and 5 in the answer could indicate that these are the two solutions, possibly repeated for emphasis. However, without the actual equation, it is not possible to provide a definitive explanation.Rate this question:
- 6.
Solve by factoring.x = ________
Correct Answer
3Explanation
The given equation is "x = 3". This means that the value of "x" is equal to 3.Rate this question:
- 7.
Solve by factoring.x = ________
Correct Answer
4Explanation
The equation "x = 4" can be solved by factoring. In this case, there is no need to factor because the equation is already in its simplest form. Therefore, the value of x is 4.Rate this question:
- 8.
Solve by factoring.x = ________
Correct Answer
7Explanation
The equation x = 7 can be solved by factoring. By factoring out the common factor of 1, we are left with x = 7. This means that the value of x that satisfies the equation is 7.Rate this question:
- 9.
Solve by factoring.x = ________, ________
Correct Answer
3/2, -5/2
3/2, -5/2Explanation
The given answer suggests that the equation can be solved by factoring, resulting in two solutions: 3/2 and -5/2. These values are repeated twice, indicating that they are the correct solutions to the equation.Rate this question:
- 10.
Solve by factoring.x = ________, ________
Correct Answer
-10, 4
-10, 4Explanation
The given answer suggests that the equation can be solved by factoring. By factoring the equation, we can find the values of x that satisfy the equation. The solution is x = -10 and x = 4. The answer is repeated twice, indicating that there are two solutions for x, which are -10 and 4.Rate this question:
- 11.
Solve by factoring.x = ________, ________
Correct Answer
-2/7, -1
-2/7, -1Explanation
The given equation is solved by factoring, resulting in the solutions -2/7 and -1.Rate this question:
- 12.
Solve by factoring.x = ________, ________
Correct Answer
4/3, -4/3
4/3, -4/3Explanation
The given answer is 4/3, -4/3, 4/3, -4/3. This means that the equation can be solved by factoring and the solutions are 4/3 and -4/3. The repetition of the solutions indicates that they are repeated roots.Rate this question:
- 13.
Solve by factoring.x = ________, ________
Correct Answer
-8, 1
-8, 1Explanation
The given equation can be solved by factoring. The factors of the equation are -8 and 1. Therefore, the values of x that satisfy the equation are -8 and 1. The repetition of -8 and 1 in the answer indicates that they are the repeated roots of the equation.Rate this question:
- 14.
Solve by factoring.x = ________, ________
Correct Answer
7, -1
7, -1Explanation
The given answer suggests that the equation can be solved by factoring. The equation is x = 7, -1,7, -1. This means that the value of x can be either 7 or -1, and these values are repeated twice. Therefore, the solution to the equation is x = 7, -1.Rate this question:
- 15.
Solve by factoring.x = ________, ________
Correct Answer
-5, 3
-5, 3Explanation
The equation can be solved by factoring. The factors of the equation are -5 and 3. Thus, the correct answer is -5, 3. The repetition of the answer (-5, 3, -5, 3) might be a typo or redundancy in the given options.Rate this question:
- 16.
Solve by factoring.x = ________, ________
Correct Answer
-2, -1
-2, -1Explanation
The given answer -2, -1, -2, -1 suggests that the equation can be solved by factoring. When factoring, we look for values that can be multiplied together to give us the desired result. In this case, the equation can be factored as (x + 2)(x + 1) = 0. By setting each factor equal to zero, we find that x = -2 and x = -1 are the solutions to the equation. The repetition of -2, -1 in the answer might be a typographical error or redundancy.Rate this question:
- 17.
Solve by factoring.x = ________, ________
Correct Answer
-16, 3
-16, 3 - 18.
Solve by factoring.x = ________, ________
Correct Answer
-7, 2
-7, 2Explanation
The given equation is solved by factoring. The factors of the equation are -7 and 2. The repeated factors indicate that the equation has a repeated root. Therefore, the solution to the equation is -7 and 2, with -7 being repeated twice.Rate this question:
- 19.
Solve by factoring.x = ________
Correct Answer
6Explanation
To solve the equation by factoring, we need to find the value of x that makes the equation true. In this case, the equation is x = 6. By substituting 6 for x in the equation, we can see that it satisfies the equation and makes it true. Therefore, the correct answer is 6.Rate this question:
- 20.
Solve by factoring.x = ________
Correct Answer
1Explanation
The given equation "x = 1" can be solved by factoring. However, since there is no expression or equation provided to factor, it is not possible to generate a solution or explanation for this question.Rate this question:
- 21.
Solve by factoring.x = ________, ________
Correct Answer
2, -2
2, -2Explanation
The given equation can be solved by factoring. The factors of the equation are (x - 2)(x + 2). Setting each factor equal to zero, we get x - 2 = 0 and x + 2 = 0. Solving these equations, we find x = 2 and x = -2. Therefore, the correct answer is 2, -2.Rate this question:
- 22.
Solve by factoring.x = ________, ________
Correct Answer
4, -4
4, -4Explanation
The given answer suggests that the equation can be solved by factoring. The equation is x = 4, -4, 4, -4. This means that when the equation is factored, it results in two sets of solutions: x = 4 and x = -4. Therefore, the possible values for x are 4 and -4.Rate this question:
- 23.
Solve by factoring.x = ________, ________
Correct Answer
-6, -5
-6, -5Explanation
The given expression is already factored, with the factors being -6 and -5. Therefore, the solution is x = -6 and x = -5.Rate this question:
- 24.
Solve by factoring.x = ________, ________
Correct Answer
0, 8
0, 8 - 25.
Solve using the Quadratic Formula.x = ________, x = ________
Correct Answer
-5/2, 8, -2.5
-5/2, 8, -2.5 - 26.
Solve using the Quadratic Formula.x = ________, x = ________
Correct Answer
3/2, -3, 1.5
3/2, -3, 1.5Explanation
The given answer suggests that the quadratic equation has two distinct solutions, which are 3/2, -3, and 1.5. However, the answer is repeated twice, so it seems to be a duplication error. The correct answer should be 3/2, -3, and 1.5 only once.Rate this question:
- 27.
Solve using the Quadratic Formula.x = ________, x = ________
Correct Answer
1, -8/5, -1.6
1, -8/5, -1.6 - 28.
What is the value of the discriminant of the equation?
Correct Answer
196Explanation
The value of the discriminant of an equation is used to determine the nature of its solutions. In this case, the given value of 196 is the discriminant itself. Since the discriminant is positive (equal to 196), it indicates that the equation has two distinct real solutions.Rate this question:
- 29.
What is the value of the discriminant of the equation?
Correct Answer
201Explanation
The value of the discriminant of an equation is found by using the formula b^2 - 4ac, where a, b, and c are the coefficients of the quadratic equation. In this case, since there is no equation given, it is not possible to calculate the discriminant. Therefore, an explanation for the given answer is not available.Rate this question:
- 30.
What is the value of the discriminant of the equation?
Correct Answer
-39Explanation
The value of the discriminant of an equation is used to determine the nature of the roots of the equation. In this case, since the value of the discriminant is -39, it indicates that the equation has two complex conjugate roots.Rate this question:
- 31.
What is the value of the discriminant of the equation?
Correct Answer
217Explanation
The value of the discriminant of an equation is equal to the square of the coefficient of the x-term minus 4 times the product of the coefficients of the x-term and the constant term. In this case, the equation is not given, only the value of the discriminant, which is 217. Therefore, we cannot determine the equation or the coefficients from the given information.Rate this question:
- 32.
What is the value of the discriminant of the equation?
Correct Answer
448Explanation
The value of the discriminant of an equation is a mathematical term used to determine the nature of the solutions. It is calculated by taking the square root of the expression inside the quadratic formula. In this case, the value of the discriminant is given as 448. Since the discriminant is positive, it means that the equation has two distinct real solutions.Rate this question:
- 33.
What is the value of the discriminant of the equation?
Correct Answer
0Explanation
The value of the discriminant of an equation is determined by the coefficients of the equation. In this case, since the value of the discriminant is given as 0, it means that the equation has only one real root. This occurs when the equation has a perfect square trinomial or when the equation has repeated roots.Rate this question:
- 34.
What is the value of the discriminant of the equation?
Correct Answer
-23Explanation
The value of the discriminant of an equation is determined by the coefficients of the quadratic equation and is calculated as b^2 - 4ac. In this case, since the value of the discriminant is given as -23, it means that b^2 - 4ac is equal to -23.Rate this question:
- 35.
Use a calculator to find a decimal approximation (to the nearest hundredth) for the solution________, ________
Correct Answer
-2.14, 1.64
-2.14, 1.64Explanation
The given answer repeats the values -2.14 and 1.64 twice. This suggests that the decimal approximation (to the nearest hundredth) for the solution is -2.14 and 1.64.Rate this question:
- 36.
Use a calculator to find a decimal approximation (to the nearest hundredth) for the solution________, ________
Correct Answer
-4.39, 2.39
-4.39, 2.39 - 37.
An experiment consists of randomly choosing a marble from a bag. Use the results in the table to find the experimental probability of each event.Not choosing a green marble.
Correct Answer
A.Explanation
To find the experimental probability of not choosing a green marble, we need to calculate the number of times a non-green marble was chosen and divide it by the total number of trials. Looking at the table, we can see that there are a total of 40 trials and 30 of them resulted in choosing a non-green marble. Therefore, the experimental probability of not choosing a green marble is 30/40, which simplifies to 3/4 or 0.75.Rate this question:
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- 38.
Tell whether the set of events is independent or dependent.Pick "Joe" from a box of names, replace it, and then pick "Craig."
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Independent
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Dependent
Correct Answer
A. IndependentExplanation
The set of events is independent because picking "Joe" from the box and replacing it does not affect the probability of picking "Craig" afterwards. The outcome of the first event does not impact the outcome of the second event.Rate this question:
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- 39.
A spinner has an equal chance of landing on 1 of 3 colors: purple, blue, or green. What is the probability of landing on purple on two consecutive spins?Express your answer as a fraction using the [slash] key for a fraction bar. For example, should be entered as 2/15.
Correct Answer
1/9Explanation
The probability of landing on purple on the first spin is 1/3. Since each spin is independent, the probability of landing on purple on the second spin is also 1/3. To find the probability of both events happening, we multiply the probabilities together: (1/3) * (1/3) = 1/9. Therefore, the probability of landing on purple on two consecutive spins is 1/9.Rate this question:
- 40.
Find the probability if you spin the spinner and roll the number cube.P(striped, even)Express your answer as a fraction using the [slash] key for a fraction bar. For example, should be entered as 2/15.
Correct Answer
1/8Explanation
The probability of spinning a striped section on the spinner is 1 out of 8 possible outcomes. The probability of rolling an even number on the number cube is also 1 out of 8 possible outcomes. Since both events are independent, we can multiply their probabilities together to find the probability of both events happening. Therefore, the probability of spinning a striped section and rolling an even number is 1/8 multiplied by 1/8, which simplifies to 1/64.Rate this question:
- 41.
Find the probability if you spin the spinner and roll the number cube.P(not white, less than 5)Express your answer as a fraction using the [slash] key for a fraction bar. For example, should be entered as 2/15.
Correct Answer
1/2 - 42.
Find the probability if you spin the spinner and roll the number cube.P(white, 8)Express your answer as a fraction using the [slash] key for a fraction bar. For example, should be entered as 2/15.
Correct Answer
0 - 43.
A bag contains 2 red marbles, 3 yellow marbles, and 4 green marbles. Find the probability if you pick two marbles without replacing the first.P(red, then green)Express your answer as a fraction using the [slash] key for a fraction bar. For example, should be entered as 2/15.
Correct Answer
1/9Explanation
The probability of picking a red marble on the first draw is 2/9. Since the first marble is not replaced, there are now 8 marbles left in the bag, with 4 of them being green. Therefore, the probability of picking a green marble on the second draw is 4/8, which simplifies to 1/2. To find the probability of both events happening, we multiply the probabilities: (2/9) * (1/2) = 2/18, which simplifies to 1/9.Rate this question:
- 44.
A bag contains 2 red marbles, 3 yellow marbles, and 4 green marbles. Find the probability if you pick two marbles without replacing the first.P(red, then yellow)Express your answer as a fraction using the [slash] key for a fraction bar. For example, should be entered as 2/15.
Correct Answer
1/12Explanation
The probability of picking a red marble first is 2/9, since there are 2 red marbles out of a total of 9 marbles. After removing one red marble, there are now 8 marbles left in the bag, with 3 of them being yellow. Therefore, the probability of picking a yellow marble second is 3/8. To find the probability of both events happening, we multiply the individual probabilities together: (2/9) * (3/8) = 6/72 = 1/12.Rate this question:
- 45.
A bag contains 2 red marbles, 3 yellow marbles, and 4 green marbles. Find the probability if you pick two marbles without replacing the first.P(green, then green)Express your answer as a fraction using the [slash] key for a fraction bar. For example, should be entered as 2/15.
Correct Answer
1/6Explanation
The probability of picking a green marble on the first draw is 4/9, since there are 4 green marbles out of a total of 9 marbles. After removing the first green marble, there are now 8 marbles left, with 3 green marbles remaining. Therefore, the probability of picking a green marble on the second draw, without replacement, is 3/8. To find the probability of both events happening, we multiply the probabilities together: (4/9) * (3/8) = 12/72 = 1/6.Rate this question:
- 46.
A bag contains 2 red marbles, 3 yellow marbles, and 4 green marbles. Find the probability if you pick two marbles without replacing the first.P(red, then red)Express your answer as a fraction using the [slash] key for a fraction bar. For example, should be entered as 2/15.
Correct Answer
1/36Explanation
The probability of picking a red marble on the first draw is 2/9 since there are 2 red marbles out of a total of 9 marbles. After the first marble is picked without replacement, there is 1 red marble left out of a total of 8 marbles. Therefore, the probability of picking a red marble on the second draw is 1/8. To find the probability of both events happening, we multiply the probabilities together: (2/9) * (1/8) = 1/36.Rate this question:
- 47.
Identify the vertex of the given parabola.
Correct Answer
A. -
- 48.
Because a parabola is symmetrical, each point is the same number of units away from the axis of symmetry as its reflected point.
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True
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False
Correct Answer
A. TrueExplanation
A parabola is a symmetrical curve that has an axis of symmetry. This means that if you take any point on the parabola and draw a line perpendicular to the axis of symmetry, the distance from that point to the axis of symmetry will be the same as the distance from its reflected point on the other side of the axis. Therefore, the statement "Because a parabola is symmetrical, each point is the same number of units away from the axis of symmetry as its reflected point" is true.Rate this question:
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- 49.
Tell whether the following statement is SOMETIMES, ALWAYS, or NEVER true.The graph of a quadratic function is a straight line.
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Sometimes true
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Always true
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Never true
Correct Answer
A. Never trueExplanation
The graph of a quadratic function is never a straight line because a quadratic function is a polynomial function of degree 2, which means it has a squared term. The graph of a quadratic function is always a curve, either concave up or concave down, and never a straight line.Rate this question:
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![A spinner has an equal chance of landing on 1 of 3 colors: purple, blue, or green. What is the probability of landing on purple on two consecutive spins?Express your answer as a fraction using the [slash] key for a fraction bar. For example, should be entered as 2/15. - ProProfs](/api/ckeditor_ver4.4.0//plugins/ckeditor_wiris/integration/showimage.php?formula=c225ebb6d95bf118d97cac24c2240646.png "A spinner has an equal chance of landing on 1 of 3 colors: purple, blue, or green. What is the probability of landing on purple on two consecutive spins?Express your answer as a fraction using the [slash] key for a fraction bar. For example, should be entered as 2/15.")
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Mar 18, 2023Quiz Edited by
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May 23, 2017Quiz Created by
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