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
Joy purchased a chocolate box for $C. If he purchased a total of 68 boxes, then which of the following expressions represents the total cost of chocolate in dollars?
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Question 2 of 22
2. Question
The charge for parking a car is $50 for an hour. The additional charge for parking is $20. Which of the following expressions represents the total cost of car parking for x hours in dollars?
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Question 3 of 22
3. Question
x + y – 4 = 0
2x + ky – 3 = 0Which of the following is the value of k for the system of equation which has no solution?
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Question 4 of 22
4. Question
y = 180 + 20t
The population of a city is modeled by the above equation, where y is the population and t is the time in years.
What is the population of the city after 4 years?
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Question 5 of 22
5. Question
The longest side of the right triangle is 15 m, and the other side is 12 m long. What is the measure of remaining side of the right triangle?
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Question 6 of 22
6. Question
The sum of x + 1 and x + 3 is 24. What is the value of x?
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Question 7 of 22
7. Question
Which of the following order pair (x, y) is the solution to the equation 2x + y = 6?
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Question 8 of 22
8. Question
What is the x -intercept of the graph of the function f(x) = 3x – 2?
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Question 9 of 22
9. Question
The function h is defined as h(x) = x³. The graph of the function is shifted to 4 units to the right. Which of the following expressions represents the new function of the graph?
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Question 10 of 22
10. Question
x = -\frac{4}{3}
5y + \frac{4}{x} = 7What is the value of y?
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Question 11 of 22
11. Question
Which of the following is the equivalent expression, if the expression 3xy + 9y² is subtracted from the expression 15xy + 7x² – 3y²?
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Question 12 of 22
12. Question
2^x+2^x+2^x=192
What is the value of x?
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Question 13 of 22
13. Question
The angles formed by the straight line POQ are given in the figure.
What is the value of x?
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Question 14 of 22
14. Question
The marks obtained by 10 students in monthly exam are given as below:
Students Marks 1 25 2 34 3 31 4 26 5 22 6 26 7 35 8 28 9 20 10 32 What is the median of the data set?
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Question 15 of 22
15. Question
The equation R = 8000(0.85)t represents the number of road accidents in a city, where t represents the year from 2014. Which of the following sentences is the best interpretation in the context of 8000?
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Question 16 of 22
16. Question
What is the maximum value of the graph of the function f(x) = -2x² + 25?
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Question 17 of 22
17. Question
When 75% of a number is added to 75, the result is the number again.
What is the number?
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Question 18 of 22
18. Question
4^{x+1}-4^x=24
What is the value of \left(2x\right)^{2x} ?
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Question 19 of 22
19. Question
Eight spheres of the same radius form a metallic sphere of 10 cm radius. What is the surface area of each sphere?
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Question 20 of 22
20. Question
In a yoga center, the initial number of students was 300. The number of students increases by 20% every year. What is the total number of students after two years?
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Question 21 of 22
21. Question
In the coordinate plane the equation of circle is represented as x² + y² = 25.
What is the circumference of the circle?
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Question 22 of 22
22. Question
What is the equation of line which passes through the point (1, 1) and is parallel to the line 3x – 4y = 7?
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