Simplifying Expressions

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and -9x are like terms because they both contain the variable x.

Front

What is a coefficient?

Back

A coefficient is a numerical factor in a term. In the term 3w, 3 is the coefficient.

Front

What is a variable?

Back

A variable is a symbol used to represent an unknown value. In the expression 3w, w is the variable.

Front

What is a constant term?

Back

A constant term is a term that does not contain any variables. For example, in the expression 4x + 5, the number 5 is a constant term.

Front

How do you simplify the expression 4a + 9 + a?

Back

Combine like terms: 4a + a = 5a. So, the simplified expression is 5a + 9.

Front

What is the result of -6(z - 1)?

Back

Distribute -6: -6z + 6.

Front

Identify the like terms in the expression 3x + 7 - 9x + 24y + 2x^2.

Back

The like terms are 3x and -9x.

Front

What is the first step in simplifying an expression?

Back

The first step is to identify and combine like terms.

Front

What does it mean to distribute in an expression?

Back

Distributing means to multiply a term by each term inside a parenthesis. For example, in -6(z - 1), you distribute -6 to both z and -1.

Front

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

Back

Combine like terms: -4x + 2x + 3x = 1x or simply x.