What is the simplified form of the expression 10m + 5 - 2m - 3m?

What is the simplified form of the expression 10m + 5 - 2m - 3m?

• A. 5m + 5
• B. 5m - 5
• C. 8m + 5
• D. 10m - 5

Answer: (A)

To simplify the expression 10m + 5 - 2m - 3m, start by combining like terms. Like terms are terms that contain the same variable raised to the same power. In this expression, the like terms are the terms involving 'm': 10m, -2m, and -3m. 1. Combine the coefficients of the like terms: - From 10m, you subtract 2m and 3m. - First, combine -2m and -3m which gives you -5m. - Now, take the initial 10m and subtract 5m from it: 10m - 5m = 5m. 2. Now, you can add the constant term (which doesn't have a variable): - The constant term in the expression is +5. Putting it all together, you have: 5m (from combining the m terms) + 5 (the constant term), resulting in the simplified expression: 5m + 5. This clearly shows how the coefficients of like terms can be combined and why the final simplified expression reflects that combination accurately.

To simplify the expression 10m + 5 - 2m - 3m, start by combining like terms. Like terms are terms that contain the same variable raised to the same power. In this expression, the like terms are the terms involving 'm': 10m, -2m, and -3m.

1. Combine the coefficients of the like terms:

• From 10m, you subtract 2m and 3m.

• First, combine -2m and -3m which gives you -5m.

• Now, take the initial 10m and subtract 5m from it:

10m - 5m = 5m.

2. Now, you can add the constant term (which doesn't have a variable):

• The constant term in the expression is +5.

Putting it all together, you have:

5m (from combining the m terms) + 5 (the constant term), resulting in the simplified expression: 5m + 5.

This clearly shows how the coefficients of like terms can be combined and why the final simplified expression reflects that combination accurately.