Year 8 CH 5C & 5D T2 Week 2

Answer explanation

To simplify the expression 4x + 7x, combine the like terms. Adding 4 and 7 gives 11, so the expression simplifies to 11x. Therefore, the correct answer is 11x.

Answer explanation

To combine like terms, add the coefficients of 'a': 6a + 2a = 8a. The term '3b' remains unchanged. Thus, the simplified expression is 8a + 3b, which matches the correct answer.

Answer explanation

To simplify, combine like terms: 5x^2 - 2x^2 - 2x^2 = 5x^2 - 4x^2 = 1x^2, which simplifies to x^2. Thus, the correct answer is x^2.

Answer explanation

To simplify \(2x + 3y + 4x - y\), combine like terms: \(2x + 4x = 6x\) and \(3y - y = 2y\). Thus, the simplified form is \(6x + 2y\), which matches the correct answer.

Answer explanation

To simplify \( \frac{8x^3}{2x} \), divide the coefficients (8 ÷ 2 = 4) and subtract the exponents of x (3 - 1 = 2). Thus, the result is \( 4x^2 \), which is the correct answer.

Which of the following expressions are like terms?

Answer explanation

To multiply the terms, multiply the coefficients (2 and 3) and the variables (a and b). Thus, 2a × 3b = 6ab. The correct answer is 6ab.

Answer explanation

To simplify \( \frac{10y^2}{5y} \), divide the coefficients (10 ÷ 5 = 2) and subtract the exponents of y (2 - 1 = 1). Thus, the result is \( 2y \), which is the correct answer.

Answer explanation

To simplify \(4x^2 + 3x - 2x^2 + x\), combine like terms: \(4x^2 - 2x^2 = 2x^2\) and \(3x + x = 4x\). Thus, the simplified form is \(2x^2 + 4x\), which matches the correct answer.