Simplifying Expressions

Front

What does it mean to simplify an expression in algebra?

Back

To simplify an expression means to combine like terms and reduce it 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, allowing them to be combined.

Front

How do you combine like terms?

Back

You add or subtract the coefficients of the like terms while keeping the variable part the same.

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable in an expression.

Front

What is the first step in simplifying the expression 5a + 2b - 3a + 4?

Back

The first step is to combine the like terms 5a and -3a.

Front

What is the simplified form of the expression 1y - 2x - 3y + 4x?

Back

The simplified form is -2y + 2x.

Front

How do you distribute in an expression like 5(2 - 7n)?

Back

You multiply 5 by each term inside the parentheses: 5*2 and 5*(-7n).

Front

What is the result of simplifying the expression 9z - 21 - 3z + 10?

Back

The result is 6z - 11.

Front

What is the process of simplifying the expression 3y?

Back

In the expression 3y, the number 3 is the coefficient of the variable y.

Front

What is the importance of simplifying expressions in algebra?

Back

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