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
A travel agency conducted a survey among its customers and found that 70% of them prefer beach destinations for their vacations. If the agency has served a total of 5000 clients, what is the estimated number of clients who prefer beach destinations?
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Question 2 of 22
2. Question
In a cafeteria, a sandwich costs ‘s’ dollars and a drink costs ‘d’ dollars. If Tom buys 3 sandwiches and 2 drinks, and spends $20, which equation represents Tom’s purchases?
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Question 3 of 22
3. Question
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Question 4 of 22
4. Question
Consider the function g\left(d\right)=500{(0.75)}^d , which models the decay of a radioactive substance. The function represents the remaining quantity of the substance after d days, where d is the number of days since the start of an experiment. Given 0\le d\le10 , if z = g(d) is plotted on the dz-plane, which of the following interpretations best fits the z-intercept of the graph in this context?
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Question 5 of 22
5. Question
Which of the following expressions is equivalent to \left(\frac{4x^2-15x+9}{x-3}\right) , where x ≠ 3?
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Question 6 of 22
6. Question
Which of the following is the median of the data set 12, 15, 18, 20, 20, 22, 25, 26?
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Question 7 of 22
7. Question
What is the value of x in the equation 7x + 3 = 5x + 9?
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Question 8 of 22
8. Question
What is the value of (x + y)² according to the solution of the below system of equations?
2x – y = 3
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Question 9 of 22
9. Question
h(d) = 1.5d + 8
The above function models the variation in the height of a plant in centimeter (cm) with number of days d. According to the model, after how many days plant reaches to a height of 38 cm?
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Question 10 of 22
10. Question
The expression x = 2y² – k shows a relationship between variables x, y, and constant k. Which of the following equations expresses the variable y in terms of variable x and constant k?
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Question 11 of 22
11. Question
x = 81
y = \sqrt x-6The coordinates of the solution of the system of equations is (x, y). What is the possible value of y?
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Question 12 of 22
12. Question
In a survey, 45% of participants preferred coffee over tea. If the survey included 500 participants, how many preferred coffee?
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Question 13 of 22
13. Question
What is the value of the function g\left(x\right)=x^3-2x^2+6 at x = 3?
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Question 14 of 22
14. Question
If the slope of a line is 2, then for what value of p another line 3x + py = 7 becomes perpendicular to the first line?
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Question 15 of 22
15. Question
Which of the following expressions is equivalent to \frac{2}{\left(x-3\right)}+\frac{3}{\left(x+2\right)} , where x ≠ -2, x ≠ -3?
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Question 16 of 22
16. Question
Triangle ABC is similar to triangle DEF. If the length of AB is 6 cm and the length of DE is 9 cm, what is the length of BC if the length of EF is 13.5 cm ?
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Question 17 of 22
17. Question
2x – 3y = 7
One of the equations in a system of two linear equations is given. The system has infinitely many solutions. Which of the following could be the second equation in the system?
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Question 18 of 22
18. Question
In triangles XYZ and UVW, angles Y and V each have measure 30° and angles Z and W each have measure 45°. Which additional piece of information is sufficient to determine whether triangle XYZ is similar to triangle UVW?
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Question 19 of 22
19. Question
Which of the following equations represents a circle in the xy-plane in which its center is at the x-axis?
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Question 20 of 22
20. Question
The equation 3x² – 2x + 1 = 0 has:
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Question 21 of 22
21. Question
The area of a playground is 4.87 square miles. What is its equivalent area in square yards? (1 mile = 1760 yards)
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Question 22 of 22
22. Question
The lengths of the base and perpendicular of a right angle triangle are 15 cm and 8 cm, respectively. What is the length of the hypotenuse of this triangle?
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