Math Quiz

Answer explanation

The value of | -7 | represents the absolute value of -7, which is 7. Absolute value measures the distance from zero, ignoring the sign. Therefore, the correct answer is 7.

Answer explanation

To simplify (-3) + 8, combine the numbers: -3 + 8 = 5. Therefore, the correct answer is 5.

Answer explanation

Multiplying two negative numbers results in a positive number. Here, (-4) times (-6) equals 24, making the correct answer 24.

Answer explanation

To simplify \(2^3 \times 2^4\), use the property of exponents that states \(a^m \times a^n = a^{m+n}\). Thus, \(2^3 \times 2^4 = 2^{3+4} = 2^7\). The correct answer is \(2^7\).

Answer explanation

To combine like terms, add the coefficients of x: 3x + 5x - 2x = (3 + 5 - 2)x = 6x. Thus, the correct answer is 6x.

Answer explanation

Combine like terms: 4a^2 - 2a^2 = 2a^2. The expression simplifies to 2a^2 + 3a + 5, which matches the correct answer choice.

Answer explanation

To multiply (x + 2)(x + 3), use the distributive property: x*x + x*3 + 2*x + 2*3 = x^2 + 3x + 2x + 6 = x^2 + 5x + 6. Thus, the correct answer is x^2 + 5x + 6.

Answer explanation

To multiply (2x)(3x^2), multiply the coefficients (2 * 3 = 6) and add the exponents of x (1 + 2 = 3). Thus, the result is 6x^3, which is the correct answer.

Answer explanation

To add \( \frac{3}{4} + \frac{1}{2} \), convert \( \frac{1}{2} \) to \( \frac{2}{4} \). Now, \( \frac{3}{4} + \frac{2}{4} = \frac{5}{4} \). Thus, the correct answer is \( \frac{5}{4} \).