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
What is two times 16% of 375?
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Question 2 of 22
2. Question
3(x-1) + 5 = 14
Which of the following x -value satisfies the above equation?
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Question 3 of 22
3. Question
An aquarium exhibition costs each of its customers $16 as the entrance fee, and $8 per hour for the time customers spend at the exhibition. A customer spent t hours and spends at most $86 inside the exhibition. Which inequality represents the above situation?
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Question 4 of 22
4. Question
If a function h is expressed as h(x) = (x² – 1) + 5, then for what positive value of the variable x is the function h(x) = 40?
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Question 5 of 22
5. Question
The velocity with which a train is traveling is at a constant rate of 55 meters per second. What is the velocity of the train, in kilometers per hour?
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Question 6 of 22
6. Question
If a function is represented in the form f(x) = x² + 7x + 8, then what is the value of the function f(x) when the value of the variable is x = -1?
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Question 7 of 22
7. Question
A teacher is distributing chocolates to 110 students working on an assignment based on the full completion of the assignment and half completion of the assignment. If 30 students fully completed the assignment, and 65 students completed half of the assignment, then which equation represents this situation, where x represents the number of fully completed assignments and y represents the number of half completed assignments?
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Question 8 of 22
8. Question
Two right-angled triangles ABC and PQR are similar, right-angled at B and Q, angle A and angle C of triangle ABC correspond to angle P and angle R of triangle PQR respectively. If angle P measures 27°, then what is the measure of angle C?
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Question 9 of 22
9. Question
x – 3y = -5
5x = y + 3Which of the following ordered pairs (x, y) is the solution to the above system of equations?
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Question 10 of 22
10. Question
Which of the following linear equations best describes the above linear graph using the highlighted points?
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Question 11 of 22
11. Question
A colony contains 960 mosquitoes, which doubles every 3 hours. Consider the population of mosquitoes as a function of time in hours. What will be the population of the mosquitoes after 18 hours?
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Question 12 of 22
12. Question
Which expression is equivalent to 7x^4y^3z+2xy^2-5y^3z^2+x^4y^3z
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Question 13 of 22
13. Question
The graph above shows the relationship between the numbers of chocolates bought from Store A represented along the x -axis, and the number of chocolates bought from Store B represented along the y -axis. Which equation could represent this relationship?
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Question 14 of 22
14. Question
The base and the height of two right triangles ABC and DEF are given in the ratio 3:2 and 8:5 respectively. Which of the following fractions determines the area of the right triangle ABC by the area of the right triangle DEF?
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Question 15 of 22
15. Question
12, 9, 5, 16, 12, 8, 10, 17, 5
What is the median value of the above data?
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Question 16 of 22
16. Question
Which of the following is the equation of the circle in the xy -plane with center at point (0, 5) and a radius with endpoint (-3, 9)?
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Question 17 of 22
17. Question
The present age of Alex is 25 years, and the present age of John is two more than thrice the present age of Alex; what is the present age of John?
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Question 18 of 22
18. Question
A fair die has six faces, labeled with a number 1 through 6 on each face of a die. If that fair six-sided die is rolled, what is the probability of rolling a number greater than or equal to 4?
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Question 19 of 22
19. Question
f (x) = x² + 3x – 4
The above function is defined in the xy -plane. The function g(x) is the result of translating the above function up by 7 units in the xy -plane; what is the expression for the function g(x)?
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Question 20 of 22
20. Question
If the function f\left(x\right)=2x^2-7x+5 is in the xy -plane, where y=f(x), then what is the value of the x -intercept of the function f(x)?
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Question 21 of 22
21. Question
3x + 2y = 4
5x + 10y = 45For each of the real number, say q, which of the following point lies on the graph of each of the equations in the xy -plane for the above system of equations?
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Question 22 of 22
22. Question
The perimeter of a square box is 112 inches; if the diagonal of the square box is 2k\sqrt2 , where k is a constant, then what is the value of the constant k?
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