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 percentage does 90 represent in relation to 360?
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Question 2 of 22
2. Question
x² = 81 * 49
What is the solution of the above equation?
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Question 3 of 22
3. Question
7 added to 4 times a quantity y is equal to 62. Which equation represents this condition?
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Question 4 of 22
4. Question
Emily made consistent monthly deposits into her bank account. The function f(t) = 100 + 56t represents the amount, in dollars, in Emily’s account after t months of deposits. What does the value 56 signify in this situation?
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Question 5 of 22
5. Question
For a cost of $57, how many pounds of avocados were bought at a rate of $19 per pound?
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Question 6 of 22
6. Question
Eddy purchased 15 identical hats at the same price each. After applying a $77 coupon, the total cost of the purchase became $43. What was the initial price, in dollars, for one hat?
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Question 7 of 22
7. Question
x f(x) 0 65 1 73 2 81 The table displays three sets of values for x and their corresponding f(x) values for a linear function f. What equation accurately represents the definition of f(x)?
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Question 8 of 22
8. Question
Consider the scatterplot below:
What is the equation of the straight line that best fits the data on the given scatter plot?
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Question 9 of 22
9. Question
If \frac{x}{15}=20 , what is the value of \frac{15}{x} ?
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Question 10 of 22
10. Question
30x + y = 58
18x + y = 82What is the value of x in the solution represented as (x, y) for the provided system of equations?
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Question 11 of 22
11. Question
What is the equation that defines line p in the xy-plane, given that it passes through the point (-4, 6) and has a slope of 6?
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Question 12 of 22
12. Question
For an isosceles right triangle with a hypotenuse measuring 53 inches, the total perimeter is 102 inches then what is the length of the two sides in inches?
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Question 13 of 22
13. Question
2.5b + 5r = 80
The provided equation expresses the connection between the quantity of biscuits (b) and raisins (r) that a reviewer business can handle in a single day. If the business is tending to 16 raisins on a specific day, what is the capacity for biscuits that it can manage on the same day?
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Question 14 of 22
14. Question
Square A possesses a side length of x inches. Square B’s perimeter surpasses Square A’s perimeter by 176 inches. The function f yields the area of square A in square inches. Which among the following options correctly expresses the definition of f?
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Question 15 of 22
15. Question
In a specific rectangular area, the length-to-width ratio is 45 : 15. If the width of the region grows by 8 units, how should the length be adjusted to uphold this ratio?
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Question 16 of 22
16. Question
\frac{24y}{8x}=3\sqrt{\left(w+8\right)}
The provided equation establishes a connection between the unique positive real numbers w, x, and y. Which equation accurately represents w in relation to x and y?
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Question 17 of 22
17. Question
In a circle with center O, the arc XY measures 105°. What is the degree measure of the angle XOY that corresponds to this arc?
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Question 18 of 22
18. Question
The expression 7\sqrt[4]{4^4x^{24}}\ \ast\ \sqrt[6]{3^6} can be represented as axb, where a and b are positive constants and x > 1. What is the sum of a and b?
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Question 19 of 22
19. Question
In a right triangle, the side lengths are 3\sqrt3 , 2\sqrt3 ,and \sqrt{70} units. What is the area of the triangle in square units?
*Enter in just the number for your answer.
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Question 20 of 22
20. Question
In the xy-plane, there exists a parabola with a vertex at (9, -14) and two intersections with the x-axis. If the equation of the parabola is represented as y = ax² + bx + c, where a, b, and c are constants, which of the given options is a plausible value for a + b + c in terms of a?
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Question 21 of 22
21. Question
Triangles PQR and STU are similar right triangles, with P corresponding to S. If angle Q measures 36°, what is the measurement of angle S?
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Question 22 of 22
22. Question
In the context of a specific bank account’s value modeled by the function f(x) = 209(1.045)x for the years 1967 through 1982, where x represents years after 1967, which of the following interpretations best explains “f(5) is approximately equal to 260”?
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