Question

Identify the terms from the expression than can be combined: 5.2x + 6y * 7.8 + 3x + y * 2
Correctly distribute these numbers into groups
Terms of x
Terms of y
Constants

Answer 1

To identify and combine the terms in the expression \(5.2x + 6y \cdot 7.8 + 3x + y \cdot 2\), we first rewrite it for clarity:

1. **Identify the terms**:
- \(5.2x\) and \(3x\) are both terms of \(x\).
- \(6y \cdot 7.8\) simplifies to \(47.88y\) (because \(6 \cdot 7.8 = 46.8\)).
- \(y \cdot 2\) simplifies to \(2y\).

So the expression becomes:

\[
5.2x + 47.88y + 3x + 2y
\]

2. **Combine the terms**:
- **Terms of \(x\)**: \(5.2x + 3x = (5.2 + 3)x = 8.2x\)
- **Terms of \(y\)**: \(47.88y + 2y = (47.88 + 2)y = 49.88y\)

Thus we have:

- **Terms of \(x\)**: \(8.2x\)
- **Terms of \(y\)**: \(49.88y\)
- **Constants**: There are no constants in this expression.

In summary:

- **Terms of \(x\)**: \(8.2x\)
- **Terms of \(y\)**: \(49.88y\)
- **Constants**: None