Simplifying Expressions #1

Front

What is the process of simplifying an algebraic expression?

Back

The process of simplifying an algebraic expression involves combining like terms and reducing the expression to its simplest form.

Front

What are like terms in an algebraic expression?

Back

Like terms are terms that have the same variable raised to the same power. For example, 2a and 4a are like terms.

Front

How do you combine like terms in the expression 2a + 9 + 4a?

Back

You combine like terms by adding the coefficients of the like terms: 2a + 4a = 6a, so the expression simplifies to 6a + 9.

Front

What is the simplified form of the expression 4a + 9 + a?

Back

The simplified form is 5a + 9.

Front

How do you simplify the expression 3 + 5x + 8 - 2x?

Back

Combine like terms: 5x - 2x = 3x, and then add the constants: 3 + 8 = 11. The simplified expression is 11 + 3x.

Front

What is the result of simplifying 7 + 9b + 3b?

Back

The result is 12b + 7.

Front

How do you simplify the expression 5e - 2 + 3e?

Back

Combine like terms: 5e + 3e = 8e. The simplified expression is 8e - 2.

Front

What is the importance of simplifying expressions in algebra?

Back

Simplifying expressions makes it easier to solve equations, understand relationships between variables, and perform calculations.

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable. For example, in 4a, 4 is the coefficient.

Front

What does it mean to reduce an expression to its simplest form?

Back

Reducing an expression to its simplest form means rewriting it in a way that has no like terms and is as concise as possible.