Simplify Expressions

Front

What is the process of simplifying an expression?

Back

The process of simplifying an expression involves combining like terms, removing parentheses, and performing any arithmetic operations to create a simpler, equivalent expression.

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms, while 3x and 4y are not.

Front

How do you combine like terms?

Back

To combine like terms, add or subtract the coefficients of the terms that have the same variable. For example, 3x + 5x = 8x.

Front

What does it mean to distribute in an expression?

Back

Distributing means multiplying a term outside of parentheses by each term inside the parentheses. For example, in 3(2 + x), you distribute to get 6 + 3x.

Front

What is the result of simplifying the expression: n - 10 + 9n - 3?

Back

The result is 10n - 13.

Front

How do you simplify the expression: 19 - (3 - 5b)?

Back

You simplify it to get 16 + 5b.

Front

What is the simplified form of (5 + 7p^2) - (2p^4 - 3)?

Back

The simplified form is -2p^4 + 7p^2 + 8.

Front

What is the result of combining like terms in the expression: 5a + 2b - 3a + 4?

Back

The result is 2a + 2b + 4.

Front

How do you simplify the expression: -7x + 5(1 - 8x)?

Back

You simplify it to get 5 - 47x.

Front

What is the first step in simplifying an expression with parentheses?

Back

The first step is to apply the distributive property to eliminate the parentheses.