~ Combining Like-Terms ~

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 is the first step in simplifying an expression?

Back

The first step is to identify and group like terms together.

Front

What does it mean to factor an expression?

Back

Factoring an expression means rewriting it as a product of its factors. For example, 10p - 35 can be factored as 5(2p - 7).

Front

What is an inequality?

Back

An inequality is a mathematical statement that shows the relationship between two expressions that are not equal, using symbols like >, <, ≥, or ≤.

Front

How do you write an inequality from a word problem?

Back

Identify the key quantities and relationships in the problem, then express them using inequality symbols. For example, 'more than $50' translates to > 50.

Front

What is the result of combining the terms 2x + 5 - x + 6x + 1?

Back

The result is 7x + 6, which has 2 like terms combined.

Front

How many terms are in the expression 2x + 5 - x + 6x + 1?

Back

There are 5 terms in the expression.

Front

What is the simplified form of n - 10 + 9n - 3?

Back

The simplified form is 10n - 13.

Front

What does it mean to simplify an expression?

Back

Simplifying an expression means to reduce it to its simplest form by combining like terms and performing any operations.