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
If x increased by 15 is equal to 95, what is the value of x?
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Question 2 of 22
2. Question
Consider the defined function h(x) = 5x³ + 2x² + 7x – 8. What is the value of h(-2)?
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Question 3 of 22
3. Question
Alex is subscribing to an internet plan that offers a fixed monthly charge of $40 and an additional charge of $2 per gigabyte (gb of data used). If g represents the amount of data used in gigabytes, which equation represents the total cost “c,” in dollars, for the internet plan?
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Question 4 of 22
4. Question
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Question 5 of 22
5. Question
Samantha wants to buy a new smartphone that costs $450. She decides to make an initial payment of $150 and then pay the remaining amount in x monthly instalments of $30 each. Which of the following equations represents total cost of smartphone?
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Question 6 of 22
6. Question
Consider the linear equation y = 12x + 30. What is the value of y when x = 3?
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Question 7 of 22
7. Question
The above table displays the distribution of household expenses in a family for a month. What is the highest dollar amount of monthly spending of the family?
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Question 8 of 22
8. Question
Circle A has a radius of 7 cm. The circumference of Circle B is 3 times the circumference of Circle A. What is the radius of Circle B?
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Question 9 of 22
9. Question
Suppose a line passes through the point (3, -2) and is perpendicular to the line y = 5x – 7. What is the equation of the line?
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Question 10 of 22
10. Question
For the linear function h(x), if h(0) = -5 and h(5) = 15, which equation defines h?
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Question 11 of 22
11. Question
The concentration C(t) of a drug in the bloodstream t hours after being administered is given by the function:
C\left(t\right)=5\left(3\right)^\frac{t}{5}
How many hours after the drug is administered will the concentration in the bloodstream be 15 units?
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Question 12 of 22
12. Question
Consider the function p(x) = -3(x – 2)(x + 4). In the xy-plane, the graph of y = q(x) is obtained by shifting the graph of y = p(x) three units to the right. What is the value of q(2)?
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Question 13 of 22
13. Question
A bookstore sells bookmarks made from a spool of ribbon. If 2 inches of ribbon can make 5 bookmarks, and there are 36 inches of ribbon remaining on the spool, how many bookmarks can be made?
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Question 14 of 22
14. Question
Consider the equation m + 3n = 2p, where m, n, and p are interconnected numerical values. Which option accurately represents n in terms of m and p?
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Question 15 of 22
15. Question
In the pair of similar triangles ABC and DEF, angle A mirrors angle D, with both triangles having B and E as their respective right angles. Given that the tangent of angle A is \frac{3}{4} , what would the tangent of angle D be?
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Question 16 of 22
16. Question
The product of two integers is 16. If the first integer is 4 less than two times the second integer, what is the smaller integer?
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Question 17 of 22
17. Question
Consider the non-linear equation \sqrt{\left(x^2+8\right)}=\sqrt{\left(7x-2\right)} . What is the smallest solution for the equation?
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Question 18 of 22
18. Question
A smartphone is initially priced at $800. During a clearance sale, the price is reduced by 20%. Later, the price is increased by 15% due to additional features added to the phone. What is the final price of the smartphone?
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Question 19 of 22
19. Question
A rectangular swimming pool measures 10 meters in length, 6 meters in width, and 2 meters in depth. If the pool is filled with water, what is the total mass of the water contained in the swimming pool? (Assume the density of water is 1000 kg/m³).
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Question 20 of 22
20. Question
Consider the expression \frac{5x^3-15x^2}{10x}+\frac{3x+5}{7} . Which of the following is equivalent to given expression?
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Question 21 of 22
21. Question
A fitness magazine conducted a survey to understand people’s exercise habits. The results are as follows:
Activity Gym Outdoor Yoga Home Workout Votes 520 310 180 140 A total of 1150 participants participated in the survey. If a new fitness center expects to attract 300 members, approximately how many of them would be expected to prefer Outdoor Running as their primary exercise habit based on the survey results?
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Question 22 of 22
22. Question
The graph of x² – 6x + y² – 8y = -4 in the xy-plane is a circle. What is the sum of the coordinates of the center of the circle?
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