Use of a calculator is permitted for all questions.
Formulas:
- Area of a Circle: πr²
- Circumference of a Circle: 2πr
- Area of a Rectangle: l * w
- Area of a Triangle: (1/2)bh
- Pythagorean Theorem: c² = a² + b²
- Volume of a Rectangle = l * w * h
- Volume of a Cylinder = πr²h
- Volume of a Sphere = (4/3)πr³
- Volume of a Cone = (1/3)πr²h
- Volume of a Triangular Prism = (1/3)lwh
Other Notes:
- The number of degrees of a circle is 360.
- The number of radians in a circle is 2π.
- The sum of degrees of the angles of a triangle is 180.
Student Produced Responses:
- Up to 5 characters allowed for positive answers.
- Up to 6 characters allowed for negative answers.
- Fractions that are too long should be converted to the decimal equivalent.
- Decimals that are too long should be truncated or rounded to the fourth digit.
- Mixed numbers should be converted to improper fractions or the decimal equivalent.
- DON’T include symbols like percent signs, commas, measurements, or dollar signs.
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Question 1 of 22
1. Question
Which of the following expressions is equivalent to 17x5 – 0x4 + 10x5?
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Question 2 of 22
2. Question
xy = 102x
\frac{17}{x}=yWhat are the values of x and y that satisfy the given system of equations?
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Question 3 of 22
3. Question
A car covered a distance of 18,480 meters. How many kilometers did the car travel? (1 kilometer = 1,000 meters)
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Question 4 of 22
4. Question
|4y – 6| = 14
What is the highest value of y that satisfies the equation?CorrectIncorrect -
Question 5 of 22
5. Question
g(y) = 5y + 3
The function provides the total count of participants attending a conference, depending on the number of y organizers. How many attendees are there at the conference when there are 6 organizers?CorrectIncorrect -
Question 6 of 22
6. Question
The function f(x) = 500(0.05)x represents the value of an investment. Which of the following is the value of f(1)?
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Question 7 of 22
7. Question
4x-\frac{9}{x}=-9
What is the negative value of x by solving the given equation?CorrectIncorrect -
Question 8 of 22
8. Question
In the figure, lines PQ and RS are parallel, and a line l is parallel to both PQ and RS. What is the value of x?
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Question 9 of 22
9. Question
In triangle PQR, angle Q is a right angle. If sinP = \frac{15}{17} then find the value of tanR.
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Question 10 of 22
10. Question
The following bar graph shows the number of employees working in different companies A, B, C, D, and E.
Which one of the following represents the number of companies having employees equal to or greater than 1000?CorrectIncorrect -
Question 11 of 22
11. Question
The interval (-∞, 8) is the solution of which of the following inequalities?
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Question 12 of 22
12. Question
f(x) = x² + 8x – 3
For the provided function, which table in the options presents the values of x along with their corresponding f(x) values?
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Question 13 of 22
13. Question
f\left(x\right)=\frac{5}{3}x+6
For the given function f, what is the y-intercept of the graph of y = f(x) in the xy-plane?CorrectIncorrect -
Question 14 of 22
14. Question
Find the value of x, if 10.5% of x is equal to 17.5% * (2424 – x).
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Question 15 of 22
15. Question
f(x) = x² + 3x – 40
At what value of x does the function f(x) reaches its minimum point?
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Question 16 of 22
16. Question
What is the largest positive integer value of b for which the equation 4x² + bx + 729 has no real solutions?
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Question 17 of 22
17. Question
A delivery van can transport a maximum load if the total volume of the packages and crates is no more than 200 cubic feet. What is the maximum number of crates this van can carry if each crate occupies a volume of 8 cubic feet and there are already five small packages with a total volume of 20 cubic feet?
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Question 18 of 22
18. Question
To estimate the average time spent commuting by individuals in a certain city, a random sample of residents was surveyed. The survey results estimate that the average commuting time is 28 minutes, with an associated margin of error of 3 minutes. Based on this estimate and margin of error, which of the following is the most appropriate conclusion about the average commuting time of the residents?
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Question 19 of 22
19. Question
The data table presents the distribution of car types and their fuel sources for a fleet of 155 vehicles.
Car Type Gasoline Electric Hybrid Total Sedan 30 20 10 60 SUV 40 15 5 60 Truck 25 5 5 35 Total 95 40 20 155 If a vehicle is randomly chosen from this fleet, what is the probability of selecting a truck? (Express your answer as a fraction, not as a percent.)
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Question 20 of 22
20. Question
A city referendum featured a proposition to fund a new park. According to a newspaper report, the number of citizens who voted ‘yes’ on the proposition was twice the number of citizens who voted ‘no.’ An online article mentioned that there were 8,000 more ‘yes’ votes than ‘no’ votes. Given this information, what is the number of citizens who voted ‘no’ on the proposition?
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Question 21 of 22
21. Question
An equation is described as -2y + ky = 30. In the equation, k is a constant. If the equation has no solution, what is the value of k?
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Question 22 of 22
22. Question
The function g(t) = -\frac{{(t-5)}^2}{16}+10 represents the height of a rocket above the ground g(t), in meters, t seconds after launch, where 0 ≤ t ≤ 20. Which of the following is the best interpretation of the vertex of the graph of y = g(t) in the xy-plane?
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