Simplifying Expressions

Front

What is simplifying expressions?

Back

Simplifying expressions involves combining like terms to make an expression easier to understand and work with.

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3a and 5a are like terms.

Front

What is the first step in simplifying the expression 4a + 7b - a - 3b?

Back

The first step is to identify and combine like terms: (4a - a) and (7b - 3b).

Front

What is the simplified form of 4a + 7b - a - 3b?

Back

The simplified form is 3a + 4b.

Front

How do you simplify the expression 2r - 4s - 10r - 3s?

Back

Combine like terms: (2r - 10r) and (-4s - 3s) to get -8r - 7s.

Front

What is the result of simplifying -12m + 15m?

Back

The result is 3m.

Front

What does the expression -6a - 3a + 9a simplify to?

Back

It simplifies to 0.

Front

How do you simplify the expression -7n + 8 - 4n - 15?

Back

Combine like terms: (-7n - 4n) and (8 - 15) to get -11n - 7.

Front

What is the importance of combining like terms in algebra?

Back

Combining like terms helps to reduce the complexity of expressions, making them easier to solve.

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor in a term. For example, in 5x, 5 is the coefficient.