Simplifying Expressions & Combining Like Terms

Front

What is a term in an expression?

Back

A term is a single mathematical expression that can be a number, a variable, or a combination of both, separated by addition or subtraction. For example, in the expression 3x + 12 + x, the terms are 3x, 12, and x.

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, in the expression 6n - 3n + n, the like terms are 6n, -3n, and n.

Front

What is a coefficient?

Back

A coefficient is a numerical factor in a term that is multiplied by a variable. For example, in the term 3x, 3 is the coefficient.

Front

How do you simplify the expression 2x + 1 + 7x?

Back

Combine like terms: 2x + 7x = 9x. The simplified expression is 9x + 1.

Front

What is the result of simplifying 3x - 5x?

Back

Combine like terms: 3x - 5x = -2x.

Front

What is the difference between a term and a coefficient?

Back

A term is a part of an expression that can include numbers and variables, while a coefficient is the numerical part of a term that multiplies the variable.

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract terms that have the same variable and exponent, simplifying the expression.

Front

What is the expression for the sum of 4x and 3x?

Back

The sum of 4x and 3x is 7x.

Front

If you have the expression 5y + 2 - 3y, what are the like terms?

Back

The like terms are 5y and -3y.

Front

What is the simplified form of 10 + 2x - 4?

Back

Combine the constant terms: 10 - 4 = 6. The simplified expression is 6 + 2x.