Simplifying Expressions

Front

What is the process of simplifying an expression?

Back

The process of simplifying an expression involves combining like terms and performing operations to reduce the expression to its simplest form.

Front

What are like terms in an expression?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms.

Front

Simplify the expression: 9z - 21 - 3z + 10

Back

6z - 11

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by each term inside a parentheses.

Front

Simplify the expression: 3(2x + 7)

Back

6x + 21

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract coefficients of terms that have the same variable and exponent.

Front

Simplify the expression: 12x + 8x^2 - 11x^2

Back

12x - 3x^2

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable. For example, in 4x, 4 is the coefficient.

Front

Simplify the expression: 4x + 3(2x - 1)

Back

10x - 3

Front

What is the difference between a term and an expression?

Back

A term is a single mathematical entity (like 3x or 5), while an expression is a combination of terms (like 3x + 5).