Question

Select the expression equivalent to (8.4x + 2.9) + (–3.7x + 5)

Answer 1

The equivalent expression to (8.4x + 2.9) + (−3.7x + 5) is obtained by combining like terms, resulting in 4.7x + 7.9.

Step-by-step explanation:

The student has asked to select the expression equivalent to (8.4x + 2.9) + (−3.7x + 5). To solve this, we combine like terms. This means we add the coefficients of 'x' together and the constant terms together.

Here's the step-by-step breakdown:

1. Identify the like terms, which are 8.4x and −3.7x (both are 'x' terms), and 2.9 and 5 (both are constant terms).
2. Add the coefficients of 'x': 8.4x + (−3.7x) = 4.7x.
3. Add the constant terms: 2.9 + 5 = 7.9.
4. Write the simplified expression: 4.7x + 7.9.

The equivalent expression is 4.7x + 7.9.