Simplifying Expressions (Combining Like Terms)

Front

What is a coefficient in an expression?

Back

A coefficient is a numerical factor that multiplies a variable in an expression. For example, in 3x, 3 is the coefficient.

Front

What does it mean to combine like terms?

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

Identify the coefficients in the expression: 4 + 3x + 5x.

Back

The coefficients are 3 and 5.

Front

What is a constant in an expression?

Back

A constant is a fixed value that does not change. For example, in the expression 8 - n + 5, the constants are 8 and 5.

Front

Identify the constants in the expression: 8 - n + 5 - 2n.

Back

The constants are 8 and 5.

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. For example, in 3x + 12 + x, the terms are 3x, 12, and x.

Front

Identify the terms in the expression: 3x + 12 + x.

Back

The terms are 3x, 12, and x.

Front

Simplify the expression: 7 + 9b + 3b.

Back

The simplified expression is 12b + 7.

Front

What is the result of combining like terms in the expression: y + x + y + y + x?

Back

The result is 2x + 3y.

Front

What is the simplified form of the expression: 4 + 3x + 5x?

Back

The simplified form is 4 + 8x.