Mathematical Reasoning Practice Questions

Mathematical Reasoning Practice Questions

1. What is the solution to the equation e^x = 10?
ln(5)
ln(10)
2ln(5)
2ln(10)
2. If log₃(x) = 2, what is the value of x?
6
8
9
12
3. What is the slope of the line that passes through the points (2, 3) and (5, 9)?
1
2
3
4
4. What is the solution to the equation 2x² - 5x - 3 = 0?
x = -1/2 or x = 3
x = 1/2 or x = 3
x = -1/2 or x = 2
x = 1/2 or x = 2
5. What is the period of the function y = sin(2x)?
π
π/2
6. What is the domain of the function f(x) = √(x - 2)?
x ≥ 0
x ≥ 2
x > 0
x > 2
7. What is the probability of drawing two aces from a standard 52-card deck without replacement?
1/221
1/169
1/121
1/91
8. If 4ˣ = 64, what is the value of x?
2
3
4
6
9. If the mean of a dataset is 10 and the standard deviation is 2, what is the z-score of a data point with value 13?
1
1.5
2
2.5
10. If 3x + 2y = 12 and 2x - y = 3, what is the value of x?
2
3
4
5
Questions Answered: 0/10

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