Simplifying Expressions-Flashcard

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?

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: x^2 + 2 - 1 + 6x^2 - 4x^2

Back

3x^2 + 1

Front

Simplify the expression: 7 + 3(1 - 2x)

Back

10 - 6x

Front

Simplify the expression: 3 - 2a + 3a + 5a

Back

6a + 3

Front

Simplify the expression: 6w - 6w + 6w + 9w

Back

15w

Front

Simplify the expression: 3x + 4 + 5x + 3

Back

8x + 7

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 two or more terms inside a set of parentheses.

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

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor in a term of an algebraic expression. For example, in 4x, 4 is the coefficient.