Mathematics Quiz
1. What is the value of \(7 + 5 \times 2\)?
Correct! According to the order of operations, \(5 \times 2 = 10\), then \(7 + 10 = 17\).
2. Solve for \(x\): \(3x + 5 = 20\).
Correct! Subtract 5 from 20 to get 15, then divide by 3 to find \(x = 5\).
3. What is the slope of the line represented by the equation \(y = 2x + 3\)?
Correct! In the equation \(y = mx + b\), the slope \(m\) is 2.
4. Simplify: \(\frac{8}{16} + \frac{4}{16}\).
Correct! Adding the fractions gives \(\frac{12}{16}\), which simplifies to \(\frac{3}{4}\).
5. What is the area of a rectangle with a length of 8 cm and a width of 5 cm?
Correct! Area is calculated as length × width, which is \(8 \times 5 = 40\) cm².
6. Which of the following is a prime number?
Correct! 23 is a prime number as it has only two divisors: 1 and itself.
7. If \(2^x = 8\), what is the value of \(x\)?
Correct! \(2^3 = 8\), so \(x = 3\).
8. What is the next number in the sequence: 2, 6, 12, 20, ...?
Correct! The pattern increases by consecutive even numbers. \(20 + 8 = 28\).
9. What is \((a + b)^2\)?
Correct! By expanding, \((a + b)^2 = a^2 + 2ab + b^2\).
10. Find the derivative of \(f(x) = 3x^2 + 5x - 4\).
Correct! The derivative is found using the power rule: \(f'(x) = 6x + 5\).
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