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
Sarah saved up some money this year. She saved 30% of her monthly allowance every month. If her monthly allowance is $200, how much money did Sarah save over the year?
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Question 2 of 22
2. Question
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Question 3 of 22
3. Question
The mass of a box is 81.5 kg. Which of the following is equivalent to the mass of the box in grams? (1 kg = 1000 grams).
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Question 4 of 22
4. Question
A water tank is being filled at a constant rate. The equation V = 10\sqrt t represents the volume of water V, in gallons, in the tank t minutes after it started filling. What will be the volume of water in the tank 9 minutes after it started filling?
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Question 5 of 22
5. Question
Which expressions is equivalent to 17x – (7x – 9)?
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Question 6 of 22
6. Question
Consider the equation 7y + 3 = 31, then what is the value of 4y² – 3y + 8
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Question 7 of 22
7. Question
The expression \left(3\sqrt x+4\right)\left(8-7\sqrt x\right) is equivalent to:
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Question 8 of 22
8. Question
Given a triangle DEF, if angle D exceeds angle E by 10° and angle F measures 70°, how much is angle D?
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Question 9 of 22
9. Question
\sqrt x=2
y = x³ – 61Consider the above equations of a graph in the x-y plane. What is the value of the y?
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Question 10 of 22
10. Question
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Question 11 of 22
11. Question
Consider the function g\left(x\right)=4\sqrt[3]{x} such that its function value g(x) = 108. What is the correct value of x?
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Question 12 of 22
12. Question
What is the product of all the solutions of the equation x² – 40 = 3x(x + 6)?
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Question 13 of 22
13. Question
What is the value of (y² – x²) for the given system of equations?
y = 5x
7x + 3y = 22CorrectIncorrect -
Question 14 of 22
14. Question
A boxed cube that has side lengths of 8 cm is formed by an iron sheet. What is the total surface area of the iron sheet used?
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Question 15 of 22
15. Question
The price, P, of a particular stock t years after its initial public offering is given by P(t) = 120(1.05)t. Which of the following functions best models the price of the stock m months after its initial public offering?
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Question 16 of 22
16. Question
A research study measured the reaction times of two groups, Group P and Group Q, to a certain stimulus. The average reaction time for Group P was 250 milliseconds, and for Group Q, it was 320 milliseconds. If Group P had 90 participants and Group Q had 60 participants, what is the overall average reaction time considering both groups?
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Question 17 of 22
17. Question
The line represented by 2y + 5x = 15 is translated up 6 units in the xy-plane. What is the y-coordinate of the y-intercept of the resulting graph?
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Question 18 of 22
18. Question
In a fitness study, the number of calories burned during a workout (y) is dependent on the duration of the workout (x). For each 15 minutes of exercise, the calories burned increase by 75 calories. If no exercise is done, the calorie burn is 50 calories. Which equation represents this relationship?
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Question 19 of 22
19. Question
The area of an equilateral triangle is 4\sqrt3\ {cm}^2 . What is the length of perpendicular drawn from a vertex to its opposite side?
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Question 20 of 22
20. Question
The value of constant k for a single solution of quadratic equation 5x² – kx + 7 = 0 is:
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Question 21 of 22
21. Question
The system of equations 3x + 2y = 7 and 6x + py = 14 has no solution. What is the value of p?
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Question 22 of 22
22. Question
The minimum value of x is 15 less than 3 times another number a. Which of the following inequality represents the possible solutions of x?
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