Question

simplify the following expression and then identify the constant and coefficient.
1.2y + 6 - 2y + 2.5

Explanation:

Step1: Combine like terms for the variable part

We have the expression \(1.2v + 6 - 2v + 2.5\). First, combine the terms with \(v\): \(1.2v - 2v=(1.2 - 2)v\). Calculating \(1.2 - 2\) gives \(-0.8\), so the variable part becomes \(-0.8v\).

Step2: Combine like terms for the constant part

Now combine the constant terms: \(6 + 2.5 = 8.5\).

Step3: Write the simplified expression

Putting the variable part and the constant part together, the simplified expression is \(-0.8v + 8.5\).

Step4: Identify the coefficient and constant

In the simplified expression \(-0.8v + 8.5\), the coefficient of \(v\) (the number multiplied by \(v\)) is \(-0.8\), and the constant term (the term without a variable) is \(8.5\).

Answer:

Simplified expression: \(-0.8v + 8.5\); Coefficient: \(-0.8\); Constant: \(8.5\)